Answer:
The two numbers would be -51 and 51
Step-by-step explanation:
To find these, first set the equation for the first number as x. You can then set the second number as x + 102. Now, find their product.
x(x + 102) = x^2 + 102x
Now, to find the minimum, find the value of x in the vertex of this equation.
-b/2a = -102/2(1) = -102/2 = -51
So we know -51 is the first number. Now we find the second using the prewritten equation.
x + 102 = -51 + 102 = 51
The two numbers whose difference is 102 and whose product is a minimum are -51 and 51. This is obtained by differentiating and finding the minimum of the function that represents their product.
Explanation:To find two numbers whose difference is 102 and whose product is a minimum, we initially express the two numbers as x and x + 102. The product of these two numbers can be denoted as f(x) = x(x + 102) = x² + 102x. To find the minimum product, we differentiate f(x) to find f'(x) = 2x + 102. Setting this equal to zero gives x = -51. We should note, f''(x) = 2, verifies that there is a minimum at x = -51. Hence, the two numbers are -51 and (-51 + 102) = 51.
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If the relation is a function, list the domain and range. If the relation is not a function, choose "not a function". C = {(9, 1) (8, -3) (7, 5) (-5, 3)} Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3} Domain: {1, -3, 5, 3} Range: {9, 8, 7, -5} not a function
Answer:
Domain: {9, 8, 7, -5}Range: {1, -3, 5, 3}Step-by-step explanation:
The function is a special relationship where each input has a single output.
We have C = {(9, 1); (8, -3); (7, 5); (-5, 3)}.
It's a function:
each values of x: 9, 8, 7, -5 has one value of y: 1, -3, 5, 3.
The doimain is set os x: {9, 8, 7, -5}.
The range is set of y: { 1, -3, 5, 3}.
F = {(x, y ) | x + y = 10}.
Domain: {10} Range: {10}
Use factoring and the zero-product property to solve the following problems.
Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a = [tex]\frac{3}{2}[/tex]
Answer:
a = 3/2 or 1
Step-by-step explanation:
4a²-10a+6=0
(Divide by 2)
2a²-5a+3=0
(Now factorise)
(2a-3)(a-1)
a = 3/2 or 1
Which translation results in a circle whose center is at the origin? Question 5 options: Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down. Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down. Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up. Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up.
Answer:
case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down
Step-by-step explanation:
Verify the 4 Options
case 1) Circle open parentheses x plus 2 close parentheses squared plus open parentheses y minus 6 close parentheses squared equals 4 translated 2 units right and 6 units down
The equation of the circle is
[tex](x+2)^{2}+(y-6)^{2}=4[/tex]
The center of the circle is the point [tex](-2,6)[/tex]
The rule of the translation is
[tex](x,y)-------> (x+2,y-6)[/tex]
Applying the rule to the center
[tex](-2,6)-------> (-2+2,6-6)[/tex]
[tex](-2,6)-------> (0,0)[/tex]
Therefore
The translation results in a circle whose center is at the origin
case 2) Circle open parentheses x minus 1 close parentheses squared plus open parentheses y plus 2 close parentheses squared equals 4 translated 1 unit left and 2 units down
The equation of the circle is
[tex](x-1)^{2}+(y+2)^{2}=4[/tex]
The center of the circle is the point [tex](1,-2)[/tex]
The rule of the translation is
[tex](x,y)-------> (x-1,y-2)[/tex]
Applying the rule to the center
[tex](1,-2)-------> (1-1,-2-2)[/tex]
[tex](1,-2)-------> (0,-4)[/tex]
Therefore
The translation results in a circle whose center is not at the origin
case 3) Circle open parentheses x minus 2 close parentheses squared plus open parentheses y plus 3 close parentheses squared equals 4 translated 2 units right and 3 units up
The equation of the circle is
[tex](x-2)^{2}+(y+3)^{2}=4[/tex]
The center of the circle is the point [tex](2,-3)[/tex]
The rule of the translation is
[tex](x,y)-------> (x+2,y+3)[/tex]
Applying the rule to the center
[tex](2,-3)-------> (2+2,-3+3)[/tex]
[tex](2,-3)-------> (4,0)[/tex]
Therefore
The translation results in a circle whose center is not at the origin
case 4) Circle open parentheses x minus 3 close parentheses squared plus open parentheses y minus 5 close parentheses squared equals 4 translated 3 units left and 5 units up
The equation of the circle is
[tex](x-3)^{2}+(y-5)^{2}=4[/tex]
The center of the circle is the point [tex](3,5)[/tex]
The rule of the translation is
[tex](x,y)-------> (x-3,y+5)[/tex]
Applying the rule to the center
[tex](3,5)-------> (3-3,5+5)[/tex]
[tex](3,5)-------> (0,10)[/tex]
Therefore
The translation results in a circle whose center is not at the origin
A fair coin is tossed three times in succession. Find the probability if getting exactly one tail
Answer:
If a fair coin is tossed three times, sample = 2^3 = 8 (hhh, hht, hth, thh, htt, tht, tth, ttt) where h=head and t=tail.
Probability of getting one:
Outcomes with one head (h) = 3
P(1 h) = 3/8 = 0.375
The probability of getting exactly one tail when a fair coin is tossed three times in succession is 37.5%.
Explanation:The probability of getting exactly one tail when a fair coin is tossed three times in succession can be found using the binomial probability formula.
Let's denote success as getting a tail and failure as getting ahead. The probability of success, denoted as p, is 0.5 since the coin is fair and has an equal chance of landing on heads or tails. The probability of failure, denoted as q, is also 0.5.
Using the binomial probability formula: P(X = k) = [tex]C(n, k) * p^k * q^(n-k)[/tex], we can calculate the probability as follows:
n = 3 (number of trials) k = 1 (number of tails desired) C(n, k) = C(3, 1) = 3 (number of ways to choose 1 tail from 3 trials)[tex]p^k = 0.5^1[/tex] = 0.5 (probability of getting 1 tail)[tex]q^(n-k) = 0.5^(3-1)[/tex] = 0.25 (probability of getting 2 heads)Plug these values into the formula: P(X = 1) = 3 * 0.5 * 0.25 = 0.375 (or 37.5%)Therefore, the probability of getting exactly one tail when a fair coin is tossed three times in succession is 0.375 or 37.5%.
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how does the area of triangle ABC Compare to the area of parallelogram ghjk
Answer:
Area of parallelogram divided by 2 is the triangles are.
Area of parallelogram = B x H and triangle area = 1/2 x B x H
Step-by-step explanation:
Answer:
A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.
Step-by-step explanation:
Hotels’ use of ecolabels. Refer to the Journal of Vacation Marketing (January 2016) study of travelers’ familiarity with ecolabels used by hotels, Exercise 2.64 (p. 80). Recall that adult travelers were shown a list of 6 different ecolabels, and asked, “Suppose the response is measured on a continuous scale from 10 (not familiar at all) to 50 (very familiar).” The mean and standard deviation for the Energy Star ecolabel are 44 and 1.5, respectively. Assume the distribution of the responses is approximately normally distributed a. Find the probability that a response to Energy Star ex- ceeds 43 between 42 and 45 think it is likely that t b. Find the probability that a respo nse to Energy Star falls c. If you observe a response of 35 to an ecolabel, do vou he ecolabel was Energy Star? Explain.
Answer:
a) 0.7486; b) 0.6518; c) No
Step-by-step explanation:
We use z scores to answer these questions. The formula for a z score is
[tex]z=\frac{X-\mu}{\sigma}[/tex]
Our mean, μ, is 44; our standard deviation, σ, is 1.5.
For part a,
We want P(X > 43):
z = (43-44)/1.5 = -1/1.5 = -0.67
Using a z table, we see that the area under the curve to the left of this is 0.2514. However, we want the area to the right; this means we subtract from 1:
1 - 0.2514 = 0.7486
For part b,
We want P(42 ≤ X ≤ 45):
z = (42-44)/1.5 = -2/1.5 = -1.3
z = (45-44)/1.5 = 1/1.5 = 0.67
Using a z table, the area under the curve to the left of z = -1.3 is 0.0968. The area under the curve to the left of z = 0.67 is 0.7486.
The area between them is 0.7486 - 0.0968 = 0.6518.
For part c,
A response of 35 has a z score of
z = (35-44)/1.5 = -9/1.5 = -6
This is 6 standard deviations below the mean. This is more than the amount required to make this an outlier, or an unlikely response.
Elephant calves are expected to gain a certain amount of weight each day after birth. After the elephant keepers switched to a new formula for daily feedings of the youngest elephants, the keepers tracked the elephants’ weight gains to make sure that it was within a desired range. Would a bar graph or a histogram be better for displaying this data?
A Histogram would be better for displaying the data
A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings.
Explanation:A histogram would be better for displaying the data of elephant calves' weight gains after the switch to a new formula for daily feedings. A histogram is useful for displaying the distribution and frequency of a continuous dataset, such as the weight gains of elephant calves. It can show how many calves fall within each weight range, and provide a visual representation of the desired range of weight gain.
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Emma is building a wall around her burning it has taken 45 minutes and she is 75% done what is the time it will take to finish building her wall
➷ 45 minutes is 3/4 of the total time
A simple way to do this is to find 1/4 of the time
To do this, divide by 3:
45/3 = 15
15 minutes is 1/4 of the time
To find the whole time, multiply this value by 4:
15 x 4 = 60
Subtract the time already passed from this:
60 - 45 = 15
It will take her 15 more minutes to finish building her wall.
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Eight boys and seven girls showed up to one of the team's games. League rules limit each team to 10 players at a time (five girls and five boys) per game. Given this rule, how many combinations of 10 players are there among the 15 boys and girls who showed up at this particular game?
Answer:
1176 Combinations
Step-by-step explanation:
As mentioned in the question, there are total 8 boys and 7 girls.
Our objective is to create a team with 5 boys and girls each.
To select 5 boys out of 8, we will use combination.
=> 8C5 = [tex]\frac{8!}{5!(8-5!)}[/tex]
=> [tex]\frac{8.7.6.5!}{5!.3!}[/tex]
=> [tex]\frac{8.7.6}{6}[/tex]
=> 56
Similarly,
5 girls are selected using 7C5
=> 21
Therefore, the total combination of players are 56 * 21 = 1176
Find the area and the perimeter, i just need the Perimeter thanks
Answer:
[tex]\large\boxed{P=(3\pi+4)\ ft}[/tex]
Step-by-step explanation:
We have 3/4 of a circle and the square.
The perimeter is equal to the sum of a 3/4 of a circumference of a circle and two sides of a square.
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have r = 2 ft. Substitute:
[tex]C=2\pi(2)=4\pi\ ft[/tex]
3/4 of a circumference:
[tex]\dfrac{3}{4}\cdot4\pi=3\pi\ ft[/tex]
The length of a side of a square is a = 2ft.
Calculate the perimeter:
[tex]P=3\pi+(2)(2)=(3\pi+4)\ ft[/tex]
I NEED HELP PLEASE!!
if Q=2.1R+5 find Q when R=5
Answer:
If Q=2.1(R)+5, then it would be 2.1(5)+5=15.5 ?
Step-by-step explanation:
How many terms are in the following sequence? 131072, ..., 8, 4, 2
Answer:
17 terms
Step-by-step explanation:
131072 = 2^17
8 = 2^3
4 = 2^2
2 = 2^1
Apparently, the sequence is powers of 2 from 17 down to 1, so there are 17 terms in the sequence.
20 points!!! Please Help
Does the equation x2 - 4x + y2 = -3 intersect the x-axis?
Answer:
Yes, twice
Step-by-step explanation:
The equation will intersect the x-axis when y = 0, so we have
x² - 4x = -3 now solve this quadratic for x...
x² - 4x + 3 = 0
factor...
(x - 3)(x - 1) = 0,
so at x = 1 and x = 3, the function crosses the x-axis
See the graph below
Yes, because the center is on the x-axis, the circle will intersect 2 times, at x=1 and at x=3
The prices of five used cars are given below. Which price is an outlier to the data set?
$16,250, $11,495, $10,022, $9,053, $12,244
$9,053
$11,495
$12,244
There are no outliers.
Answer:
There are no outliers
Step-by-step explanation:
An outlier is a number thats far different than the numbers selected. All of these numbers are close to each other.
Answer:
Option D. there are no outliers.
Step-by-step explanation:
The given prices of five used cars in the data set we have to find the outlier number.
Outlier number in a data set is very different from the data set values. It may be more greater or more lower numbers from the other numbers.
In the given data set all the numbers are close to each other.
Therefore, Option D. there are no outliers.
The perimeter of a playing field for a certain sport is 320 ft. The field is a? rectangle, and the length is 48 ft longer than the width. Find the dimensions.
Answer:
length: 104 ftwidth: 56 ftStep-by-step explanation:
Let L and W represent the length and width of the field. Then the perimeter is given by ...
P = 2(L +W)
Filling in the given information, we have ...
320 = 2(L +W)
L = W +48 . . . . . . the length is 48 ft longer than the width
Using the second equation in the first, we get
320 = 2((W +48) +W)
320 = 4W +96 . . . . . . simplify
224 = 4W . . . . . . . . . . subtract 96
56 = W . . . . . . . . . . . . .divide by 4
L = 56 +48 = 104 . . . . find L using the above relation
The width of the field is 56 ft; the length is 104 ft.
The width of the playing field is 56 ft and the length is 104 ft.
Explanation:To solve this problem, let's set up an equation using the information given. Let's say the width of the field is x ft. Since the length is 48 ft longer than the width, the length can be represented as x + 48 ft. The formula for the perimeter of a rectangle is P = 2(l + w), so we can set up the equation: 320 = 2(x + 48 + x). Now, we can solve for x by simplifying and solving the equation.
320 = 2(2x + 48)
320 = 4x + 96
4x = 320 - 96
4x = 224
x = 224/4
x = 56
So, the width of the field is 56 ft and the length is 56 + 48 = 104 ft.
To solve this problem, we must use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
According to the question, the length is 48 ft longer than the width, therefore we could express the length as L = W + 48. The perimeter provided is 320 ft. Now we can plug these values into the perimeter formula.
320 = 2(W + 48) + 2W
After simplification, this formula becomes 320 = 4W + 96.
To isolate W, you subtract 96 from both sides to get: 320 - 96 = 4W + 96 - 96, which simplifies to 224 = 4W. Dividing both sides by 4 gives W = 56 ft. This is the width of the field. The length, then, is 56 ft + 48 ft = 104 ft (since the length is 48 ft longer than the width).
So, the dimensions of the field are 104 feet by 56 feet
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what is equivalent to (5x-6) (2x+3) ?
a. (5x-6) (2x) + (5x -6) (3)
b. (5x-6) (2x) - (5x-6) (3)
c. (5x) (2x) + (6) (3)
d. (5x-6) (2x) + (-6)(3)
The expression is equivalent to (5x-6) (2x) + (5x-6) (3).
Option (A) is correct.
It is to find equivalent of (5x-6) (2x+3).
What is polynomial?An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.
when we multiply to (5x-6) to (2x+3).
Each term of (5x-6) is multiply to (2x+3).
so (5x-6) is multiply to 2x and (5x-6) is multiply to 3 separately.
so, the expression is equivalent to (5x-6) (2x) + (5x-6) (3).
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Tyrone wrote an equivalent expression for 28 + x - 2n + 7 - n - 5x + 4. His equivalent expression was -3n - 5x + 39 + x. What error did Tyrone make?
A. Tyrone neglected to combine the x terms.
B. Tyrone added the constants instead of subtracting them.
C. Tyrone neglected to add the coefficients of the n terms.
D. Tyrone made an error when he added the constants.
Answer with Step-by-step explanation:
We are given an expression:
28 + x - 2n + 7 - n - 5x + 4
We have to find its equivalent expression
On combining the like terms of the above expression
28+4+7+x-5x-2n-n
= 39-4x-3n
= -3n-4x+39
According to Tyrone the equivalent expression was:
-3n - 5x + 39 + x
The error Tyrone made was:
A. Tyrone neglected to combine the x terms
Answer:
The answer is A
Step-by-step explanation:
84%, percent of Astrid's books are fiction. What fraction of Astrid's books are fiction?
What is the area of a circular wrestling region with a 42 ft diameter
Answer:
The area of a circular wrestling region with a 42 fr diameter is
A≈1385.44ft²
Do you think this graph looks more like a quadratic or exponential function? Why do you think so?
Answer:
Exponential Function
Step-by-step explanation:
The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.
This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:
[tex]f(x)=f(0)(2)^{x}[/tex]
Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.
Slaura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Slaura's. How far does Isaiah walk to school each day.
Answer:
1.8 miles
Step-by-step explanation:
3/5 * 3 for the extra mile that he walks
Answer:
1 4/5 miles to school. 3 3/5 miles if you wanted to know to school AND back.
Step-by-step explanation: You would take the 3/5 of a mile that Slaura walks every day and multiply it by 3. Your equation would be 3/5 x 3/1. Your answer for how many miles Isaiah walk to school everyday is 9/5 or 1 4/5 miles. If you wanted to know how many miles Isaiah walked to school AND back, then you would double 1 4/5 miles.
Stear Corp. bought a machine on January 1, 2012 for $37,500. The company follows a policy of calculating depreciation using the Written-Down-Value method at 8% per annum. The accounting period of Stear Corp. is from January to December. What will be the amount of depreciation added to the Accumulated Depreciation Account for the year 2013?
A. $5,520
B. $2,760
C. $6,000
D. $5,760
Answer:
2,760
Step-by-step explanation:
PLATO.
Max is 33 and smokes. How much would he save next year on a $75,000 policy if he quit smoking compared to if he continued smoking? Show your work or explain how you got your answer.
Answer:
Max would save $126 if he quit smoking.
Step-by-step explanation:
It is given that the age of max is 33.
From the given table it is clear that the monthly premium for every $25000 of coverage for age group 31-40 non smoker male is 5.50 and smoker male is $9.00.
Total yearly premium for $75000 for non smoker male of 33 age is
[tex]P_1=5.50\times 3\times 12=198[/tex]
Total yearly premium for $75000 for smoker male of 33 age is
[tex]P_2=9.00\times 3\times 12=324[/tex]
If he quit smoking then he save
[tex]Saving=P_2-P_1[/tex]
[tex]Saving=324-198[/tex]
[tex]Saving=126[/tex]
Therefore max would save $126 if he quit smoking.
A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table. Jeans Purchased Annually 0 1 2 3 or More Total Under 12 0 69 78 73 220 12-18 10 75 70 65 220 19-25 40 77 97 76 290 over 25 36 86 128 20 270 Total 86 307 373 234 1000 A person is selected at random. Compute the probability of the following. (a) The person is over 25 and purchases 3 or more pairs of jeans annually. 0.2 Incorrect: Your answer is incorrect. (b) The person is older than 18 or purchases 1 pair of jeans annually. 0.163 Incorrect: Your answer is incorrect. (c) The person is in the age group 12-18 and purchases at most 2 pairs of jeans annually. 0.07 Incorrect: Your answer is incorrect.
The probabilities are;
a) 0.03
b) 0.691
c) 0.2.
How to calculate probability.
Given information
A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the above table.
a) The person is over 25 and purchases 3
or more pairs of jeans annually
P(25 and 3 or Jeans)
[tex] = \frac{30}{1000} [/tex]
= 0.03
b) The person is older than 18 or purchases
1 pair of jeans annually.
[tex] = \frac{560 + 274 - 143}{100} [/tex]
[tex] = \frac{691}{1000} [/tex]
= 0.691
c) The person is 12 - 18 in the age group
and purchases at most 2 pairs of jeans annually
[tex] = \frac{17 + 61 + 122}{1000} [/tex]
[tex] = \frac{200}{1000} [/tex]
= 0.2
Complete question
A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table. A person is selected at random. Compute the probability of the following. The person is over 25 and purchases 3 or more pairs of jeans annually. The person is older than 18 or purchases 1 pair of jeans annually. The person is in the age group 12-18 and purchases at most 2 pairs of jeans annually.
Caleb's puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian's office, what is the percent increase in the puppy's weight rounded to the nearest whole number?
Answer: 275%
Step-by-step explanation:
Given : The current weight of the puppy : 2,250 grams
The weight of the puppy at the last visit = 600 grams
Increase in weight :-
[tex]2250\text{ grams}-600\text{ grams}=1650\text{ grams}[/tex]
Now, the formula to calculate the percentage increase is given by :-
[tex]\dfrac{\text{Increase in quantity}}{\text{Previous quantity}}\times100[/tex]
The percentage increase in weight is given by :-
[tex]\dfrac{1650}{600}\times100=275\%[/tex]
Hence, the percent increase in the puppy's weight = 275 %.
Describe how to translate the graph of g(x) = ln x into the graph of f(x)= ln (-5)+5
Answer:
B
Step-by-step explanation:
We know:
1. Replacing -x into x of an equations reflects the graph on the y-axis
2. If f(x) is a function, then f(x)+a is a vertically translated graph of the original graph, a units up
Looking at the original function of ln x and the transformed graph of ln(-x) +5, we see that we have replaced x with -x, which means it is a reflection across the y-axis.
Also, we have added a five after the function, so that means it is a vertical translation of 5 units up.
Looking at the answer choices, we see that B is the correct answer.
jeffrey is flying a kite but it got caught at the top of a 15 foot tree tha is 60 feet away from where he is standing. if the strong is tight, how long is the string that he has let out?
Found this on a website! Hope this is helpful!
The length of the small leg of a 30 -60 -90 degree triangle is 5. What is the perimeter of the triangle?
Answer:
option (B)
15 + 5√3
Step-by-step explanation:
In a 30-60-90 triangle, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the triangle.
Given in the question,
length of small leg = 5
As we know that
The hypotenuse is equal to twice the length of the shorter leg
hypotenuse = 2(5) =10The longer leg is equal to multiplying the shorter leg by the square root of 3
other leg = 5√3Perimeter of a triangle = sum of the length of three sides
= 5√3 + 10 + 5
= 15 + 5√3
If you have 4 dollars and your mom stole 2 dollars what do you have?
Answer:
2
Step-by-step explanation:
Given kite LNOM, what are the lengths of MX and XN ?
Answer:
Step-by-step explanation:
MX = XN
5r² + 2r + 52 = 4r² + 12r + 27
5r² - 4r² + 2r - 12r + 52 - 27 = 0
r² - 10r + 25 = 0
(r - 5)² = 0
r - 5 = 0
r = 5
4r² + 12r + 27
4•5² + 12•5 + 27
4•25 + 60 + 27
100 + 60 + 27
187
The Second one
I hope I helped you.