Answer:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Step-by-step explanation:
Step 1: x^2 +4x = 6
Step 2: x^2 +4x +4 = 6+4
Step 3: (x +2)^2 = 10
The next 3 steps are:
step 4: Take the square root on both sides
√(x + 2)^2 = √10
step 5: Simplify
x + 2 = ±√10
Step 6: Solve for x
x = √10 - 2 and x = -√10 + 2
Hope this will helpful.
Thank you.
The solution of the given quadratic equation is,
x = 1.16 or -2+12i
The given expression is
x² +4x - 6 = 0,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
Then, after comparison,
a = 1, b = 4 and c = -6
Therefore the given equation is an quadratic equation,
We can write it apply quadrature formula:
x = (-b ± √(b²-4ac))/2a
= (-4 ± √(16+24))/2
= 1.16 or -2+12i
Hence,
x = 1.16 or -2+12i
To learn more about quadratic equation visit:
https://brainly.com/question/30098550
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I NEED HELP PLEASE
The total income before any taxes is taken out is
called?
A budget
B sales tax
C net income
D gross income
Answer:
D) Gross Income
Your answer is D gross
income
if a chocolate pie is divided into six equal slice and each slice has 280 colories how many colories are in the whole pie
Hey there!
We know that each slice has 280 calories & we also know there are 6 equal pieces, so all we have to do is multiply 280 by 6 to find how many calories the entire pie is
280 * 6 = 1,680
Therefore, the whole pie has 1,680 calories
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
Answer:
nh,juk,
Step-by-step explanation:
hfjmdgbtjutrj
rectangle ABCD is graphed in the coordinate plane. the following are the vertices of the rectangle: A(-6,-4) B(-4, -4), C(-4, -2), and D(-6,-2) what is the perimeter of rectangle ABCD
Answer:
qwssfgbbbnjhbgbbnnbnnnnnnnj
Find the value of the x to the nearest tenth.
Answer:
10x = (5)(8)
10x = 40
x = 4
Step-by-step explanation:
may somebody help me please ! please and thank you.
x^2 + 2x + 3 or A is the correct answer
Answer to this math question
Answer:
[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
This is a recurring decimal.
Let x = 4.666666... ⇒ (1)
10x = 46.66666... ⇒ (2)
Subtract equation (1) from equation (2)
10x = 46.66666..
- x = 4.666666...
9x = 42.0000.....
9x = 42
x = 42/9
= 14/3
=[tex]4\frac{2}{3}[/tex]
I appreciate anyone who helps me solve this math problem for Apex!
Answer:
Option C
Step-by-step explanation:
We can easily see the solution by realizing that the quadratic function
y = x^2 + 2 has a discontinuity at x =1 (white dot at the graph)
So, the solution must have
y = x^2 + 2 , x < 1
And the only option in which this applies is Option C.
what is the difference between the longest and the shortest pencil
Answeron:
Du plus gras au plus sec : 9b - 8b - 7b - 6b - 5b - 4b - 3b - 2b - B - HB - F - H - 2h - 3h - 4h - 5h - 6h - 7h - 8h - 9h
The correct option is D.
The difference between the longest and shortest pencils is **7 inches**.
The difference between the measurements of the longest and shortest pencils can be calculated based on the given data. Let's break it down:
1. **Line Plot 1**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{1}{2}$[/tex] inches** long. The difference is:
[tex]\[7 \text{ in} - 2 \frac{1}{2} \text{ in} = 4 \frac{1}{2} \text{ inches}\][/tex]
2. **Line Plot 2**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{1}{4}$[/tex] inches** long. The difference is:
[tex]\[7 \text{ in} - 2 \frac{1}{4} \text{ in} = 4 \frac{3}{4} \text{ inches}\][/tex]
3. **Line Plot 3**: The longest pencil measures **7 inches**, and the shortest pencil is **[tex]$2 \frac{3}{8}$[/tex] inches** long. The difference is:
[tex]\[7 \text{ in} - 2 \frac{3}{8} \text{ in} = 4 \frac{5}{8} \text{ inches}\][/tex]
Therefore, the differences are as follows:
- Line Plot 1: **[tex]$4 \frac{1}{2}$[/tex] inches**
- Line Plot 2: **[tex]$4 \frac{3}{4}$[/tex] inches**
- Line Plot 3: **[tex]$4 \frac{5}{8}$[/tex] inches**
Based on this information, the correct answer is **D. 7 inches**.
The complete question is here:
What is the difference between the length of the longest pencil and the shortest pencil?
A. [tex]$1 \frac{1}{2}$[/tex] inches
B. 3 inches
C. [tex]$3 \frac{1}{2}$[/tex] inches
D. 7 inches
plz answer them I really need help
Answer:
Step-by-step explanation:
Top left hand corner 6 x 2 = 12
Top right 4x6/2= 12
Bottom left 2 squared + 2x6 = 28
Bottom right 6 squared / (4 + 6 ) = 3.6
Find the equation of the line that passes through the point (−3, −4) and is parallel to the line that passes through the points (−5, 1) and (7, −3).
Answer:
[tex]y = -\frac{1}{3}x - 5[/tex]
Step-by-step explanation:
To write the equation of a line use the point slope formula [tex]y - y_1 = m(x-x_1)[/tex]. Find m by using the slope formula with the points.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{1--3}{-5-7} =\frac{4}{-12} =-\frac{1}{3}[/tex]
Since the line is parallel, it will have the same slope.
Substitute m = -1/3 and (-3,-4).
[tex]y --4 = -\frac{1}{3}(x --3)\\y + 4 = -\frac{1}{3}(x+3)\\y +4 = -\frac{1}{3}x - 1\\y = -\frac{1}{3}x - 5[/tex]
Final answer:
The equation of the line that passes through the point (-3, -4) and is parallel to a given line is y = -1/3x - 5. This is found by calculating the slope of the given line and then using the point-slope form to find the equation for the parallel line.
Explanation:
The student has asked for the equation of a line that passes through point
(-3, -4) and is parallel to another line. First, we need to find the slope of the given line that passes through points (-5, 1) and (7, -3). The slope (m) is calculated by using the difference in y-coordinates over the difference in x-coordinates (rise over run), which is:
m = (y2 - y1) / (x2 - x1) = (-3 - 1) / (7 - (-5))
m = (-4) / (12) = -1/3
Since parallel lines have the same slope, our new line will also have a slope of -1/3. Using the point-slope form of a line's equation, y - y1 = m(x - x1), and substituting the point (-3, -4) and the slope -1/3, we get the equation of the parallel line:
y - (-4) = -1/3(x - (-3))
y + 4 = -1/3(x + 3)
To write it in slope-intercept form (y = mx + b), we distribute the slope and simplify:
y + 4 = -1/3x - 1
y = -1/3x - 5
Therefore, the equation of the line parallel to the given line and passing through the point (-3, -4) is y = -1/3x - 5.
Please help, my teacher never explained how to do this!
Answer:
First, you have to calculate the angles.
3x-2 + 4x +2x -12 + 2x + 3x + 10
14x -4 = 360
14x = 364
x = 26
So, the angles are:
3x -2 = 76
4x = 104
2x -12 = 40
2x = 52
3x + 10 = 88
Step-by-step explanation:
which functions are symmetric with respect to the y axis
Answer:
A, B, and D
Step-by-step explanation:
Only the functions that have x by itself between the absolute value signs (A, B, and D) are symmetric with respect to the y-axis .
Placing a constant outside the absolute value signs moves the function up or down the y-axis but retains the symmetry.
Adding a constant inside the absolute value signs (as in C and E) moves the axis of symmetry to the left or right of the y-axis.
In the diagram, both A and B are symmetric with respect to the y-axis, but C has been shifted three units to the left.
What is the surface area of the rectangular prism
Answer:
The answer is C.
Step-by-step explanation:
To solve this problem, first do the calculations (twice per equation | example below.
6 x 8 x 2 = 96
8 x 11 x 2 = 176
6 x 11 x 2 = 132
Then, add of your products together to find your answer (example below).
132 + 176 + 96 = 404
Therefore, C is the answer.
What is this answer ?
Answer:
-6x^2+4x
Step-by-step explanation
Plug in values!!!!!
The product of 3 consecutive odd numbers is 2,145. Enter a simplified expression for finding the numbers. Let n be the first odd number.
Answer:
11, 13 and 15.
Step-by-step explanation:
Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.
Applying that here, we get:
Odd number* the next odd number*the next odd number=2145
x*(x+2)*(x+4)=2145
x*(x^2+4x+2x+8)=2145
x^3+6x^2+8x=2145
By solving the polynomial, you get x=11.
Which makes our three numbers: 11, 13 and 15.
11*13*15=2145. The answer checks.
Final answer:
To find the three consecutive odd numbers whose product is 2,145, set up and solve an equation for n, the first odd number. The solution is n = 11, so the three consecutive odd numbers are 11, 13, and 15.
Explanation:
To find the three consecutive odd numbers whose product is 2,145, we can set up an equation and solve for n, the first odd number:
Let n be the first odd number
Then, the next two consecutive odd numbers would be n + 2 and n + 4
We can write the equation as: n x (n + 2) x (n + 4) = 2,145
Expanding this equation, we have: n³ + 6n² + 8n - 2,145 = 0
By factoring or using a numerical method, we can find that n = 11
So, the three consecutive odd numbers are 11, 13, and 15.
Will mark brainliest
20 pionts
Show work
Answer:
Part A) The percentage increase was [tex]6.1\%[/tex]
Part B) Michael is financially better off this year than last year
Step-by-step explanation:
Part A)
we know that
Using proportion
Let
x-----> the percentage increase
[tex]\frac{100\%}{33,000}=\frac{x\%}{35,000-33,000}\\ \\x=2,000*100\%/33,000\\ \\x=6.1\%[/tex]
Part B) Compare the percentage increase with the inflation
[tex]6.1\%>5\%[/tex]
The percentage increase is greater than the inflation
therefore
Michael is financially better off this year than last year
Ryan’s collection is 3/6 football cards and 2/6 basketball cards. What part of Ryan’s card collection is not football or basketball cards?
Answer: A: 1/6
Step-by-step explanation:
3/6 + 2/6 = 5/6
1 - 5/6 = 1/6
PLEASE HELP ME ASAP
What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 7.
the area of the trapezoid is 64
90+31.5x2 = 153
153 units squared is the area of the trapezoid.
Which ordered pair is a solution of y = x + 4
(0,0)
(5,54)
(7,28)
(9,13)
PLEASE HELP!!!
Answer:
(9,13)
Step-by-step explanation:
A solution to an equation is a point (x,y) which makes the equation true.
y = x + 4
Substitute each point to determine if a solution.
(0,0) ----> 0 = 4 No
(5, 54) ----> 54 = 9 No
(7,28) -----> 28 = 11 No
(9,13) ----> 13 = 13 YES
what is the area of the shaded area
Answer:
160 cm^2
Step-by-step explanation:
The shaded area is the triangle with a base of 20 and a height of 16, I take it.
Area = 1/2 b* h
Area = 1/2 * 20 * 16
Area = 160 cm^2
Answer:
160 cm2
Step-by-step explanation:
I took this test. Hope this helps!
Convert the mixed number 31/4 to a percent
Answer:
3 1/4 = 325%
or
31/4ths = 775%
whichever is your intended fraction
Step-by-step explanation:
A supersonic jet was flying at a constant velocity starting 8,400 kilometers west of U.S. airspace. It
flew one-third of the way to US, airspace in 2 hours. What was the jet's velocity?
Write your answer as a whole number. blank
kilometers per hour to the east
Submit
9514 1404 393
Answer:
1400 km/hour to the east
Step-by-step explanation:
We assume the jet is flying directly toward US airspace, so is flying east. The speed is ...
speed = distance/time
speed = ((8400 km)/3)/(2 h) = 1400 km/h
The jet's velocity is 1400 km per hour to the east.
Final answer:
The velocity of the supersonic jet traveling one-third of the way to U.S. airspace is 1400 km/h to the east, calculated by dividing the distance covered (2800 km) by the time taken (2 hours).
Explanation:
The supersonic jet's velocity can be determined by calculating the distance it flew and the time taken to cover that distance. The jet started 8400 km west of U.S. airspace and flew one-third of that distance, which is 2800 km (8400 km / 3). It took 2 hours for the jet to cover this distance. So, to find the velocity, we use the formula velocity = distance / time.
V = 2800 km / 2 hours = 1400 km/h to the east.
What is a real word example or use of surface area
A real life use of Surface area is when we need to figure out how much paint is needed to paint something. Paint can only cover so much surface area so we must figure out Surface area before it is painted.
Another example is in fashion when making clothes. You need to know the surface area of fabric so that there is enough cloth to fit a model and make a garment.
Answer:
Finding the area of a yard/centimeter.
Step-by-step explanation:
A house or let's say a building can be used as an example.
How to find the answer:
You would times length times width. (Up and bottom) Decimal or not, you would get your answer.
A bag contains 4 red, 3 yellow, 3 blue, and 2 white marbles, for a total of 12 marbles. If Lucia randomly picks two marbles from the bag without putting the first marble back, what is the probability that the first marble is red and the second is white?
Answer choices:
A. 2/144
B. 3/144
C. 2/33
D. 2/12
Answer: 2/33 hoped this helped you
Step-by-step explanation:
The probability that Lucia picks a red marble first and a white marble second from the bag without replacement is
2 / 33, found by multiplying the individual probabilities of each event. Hence option C is correct.
The question asks about the probability that Lucia randomly picks a red marble first and a white marble second from a bag containing marbles of various colors, without replacement. To calculate this probability, we need to consider the total number of marbles and the number of favorable outcomes for both events happening consecutively.
With 4 red and 2 white marbles in the bag, the probability of picking a red marble first is
P(Red) = Number of red marbles / Total number of marbles
P(Red) = 4 / 12 = 1 / 3
After picking a red marble, there are 11 marbles left, including 2 white marbles. The probability of then picking a white marble is
P(White | Red) = Number of white marbles / Total number of marbles remaining
P(White | Red) = 2 / 11
The combined probability is then the product of the two individual probabilities:
P(Red and White) = P(Red) X P(White | Red)
P(Red and White) = (4 / 12) X (2 / 11)
P(Red and White) = 8 / 132 = 2 / 33.
Thus, the correct answer is 2 / 33, which corresponds to option C.
8 4/7 - 3 2/7 what do you think it is
Answer:
5 2/7
Step-by-step explanation:
Answer:
5 2/7
Step-by-step explanation:
Subtract the fractions. 4/7 - 2/7 = 2/7.
Then, subtract 8 - 3 = 5.
The total is 5 2/7.
Suppose Cone A is similar to Cone B and the scale factor between the solids is 3:2, respectively. If the height of Cone A is 15 inches, determine the height of Cone B. 20 inches
15 inches
10 inches
5 inches
Answer:
[tex]10\ inches[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
x----> the height of cone B
using proportion
[tex]\frac{3}{2}=\frac{15}{x} \\ \\x=2*15/3\\ \\x=10\ in[/tex]
the rectangualr below will be reflected across the y-axis . What is the new coordinates of point X?
Answer:
(-5, 4)Step-by-step explanation:
(x, y)
Reflection of a Point in x-axis: (-x, y)
Reflection of a Point in y-axis: (x, -y)
Reflection of a Point in origin: (-x, -y)
We have the point X(5, 4).
Therefore
the new coordinates of the point X in reflection across y-axis is (-5, 4).
Answer:
a.) (-5,4)
Step-by-step explanation:
(x, y)
Reflection of a Point in x-axis: (-x, y)
Reflection of a Point in y-axis: (x, -y)
Reflection of a Point in origin: (-x, -y)
We have the point X(5, 4).
Therefore
the new coordinates of the point X in reflection across y-axis is (-5, 4).
Which number line represents the solution set for the inequality –x ≥ 4?
Answer:
I decided to draw it since you didnt provide a pic.....
so here:
Step-by-step explanation:
STEPS:
–x ≥ 4
÷-1 ÷-1
x ≤ -4
Final answer:
The solution set for the inequality -x ≥ 4 is x ≤ -4. On a number line, this is represented by a solid dot at -4 and a line extending to the left.
Explanation:
To find the number line that represents the solution set for the inequality
-u2061x
≥ 4, we first need to solve the inequality for x. By dividing each side of the inequality by -1 (and remembering to flip the inequality sign because we're dividing by a negative number), we get x
≤ -4. This means all numbers less than or equal to -4 are part of the solution set.
On a number line, this would be represented by a solid dot at -4 (to include -4 itself) and a line extending to the left to indicate all numbers less than -4 are included.
Kristin won 44 lollipops playing basketball at her school's game night. Later, she gave two to each of her friends. She only has 2 remaining. How many friends does she have?
I don't understand this please explain step by step
Answer:
The answer is C.
Step-by-step explanation:
Think about it as substitution.
The equation given to you is 15n=10.
They are telling you that n is equal to 2/3.
So now, this is where you do the substitution.
1. Substitute 2/3 in for n.
15(2/3)=10
2. Determine if true.
15·2/3=10
3. Are they the same?
10=10
So now you know your answer is C. :)