Solving the equation for y puts it in slope-intercept form.
[tex]3x-5y=5\qquad\text{given equation}\\3x-5=5y\qquad\text{add 5y-5}\\y=\dfrac{3}{5}x-1\qquad\text{divide by 5}[/tex]
This tells you one point can be plotted on the y-axis at y=-1. Another point can be plotted 3 units up and 5 units to the right of that one, at (5, 2). The graph is the line through those points.
Since you're asked to plot at least 3 points, your third point could be 5 units left and 3 units down from the first one, at (-5, -4).
A plane is a ___ (one-dimensional, two-dimensional, three-dimensional) figures. The intersection of two olanes that do not coincide (if it exists) is a ___ (point, line, angle).
What is 1075 factorial?
The ninth grade class at a local high school needs to purchase a park permit for $250.00 for their upcoming class picnic. Each ninth grader attending the picnic pays $0.75. Each guest pays $1.25. If 200 ninth graders attend the picnic, which inequality can be used to determine the number of guests, , needed to cover the cost of the permit?
Find p(x = 4) if x has a poisson distribution such that 3p(x = 1) = p(x = 2).
The formula for Poisson distribution is:
P (x) = e^-k * k^x / x!
We know that:
3P(x = 1) = P(x = 2)
Therefore:
3 [e^-k * k^1 / 1!] = e^-k * k^2 / 2!
Simplifying by cancelling similar terms:
3 / 1! = k / 2!
k = 3 * 2! / 1!
k = 6
So at x = 4:
P (x = 4) = e^-6 * 6^4 / 4!
P (x = 4) = 0.1339 or 13.39%
Solve the equation. Round the result to the nearest hundredth.
14.1 - 0.3x = 1.3x - 4.2
Need help
Answer:
X is the answer.
Step-by-step explanation:
How many square units are in an office that is 13 units by 9 units? 22 117 121 130?
By using the formula for the area of a rectangle, we will see that there are 117 square units on the office.
How many square units are in the office?We know that for a rectangle of width W and length L, the area is given by:
A = W*L
In this case, we have a rectangle of width of 13 units, and length of 9 units, replacing that in the area equation:
A = (13 units)*(9 units) = 117 square units.
So the correct option is the second one, there are 117 square units in the office.
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Choose the formula for the volume of a cone V=1/3
What is the standard form of this number 15,000+7000+400+9
What is the slope of the line passing through the points (1, −5) and (4, 1)? −45 54 2 −2
Answer:
Slope of the line passing through the points (1, −5) and (4, 1) is 2 .
Step-by-step explanation:
The equation of the slope is given by
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
As given
line passing through the points (1, −5) and (4, 1) .
[tex]m = \frac{1-(-5)}{4-1}[/tex]
[tex]m = \frac{1+5}{4-1}[/tex]
[tex]m = \frac{6}{3}[/tex]
m = 2
Therefore the slope of the line passing through the points (1, −5) and (4, 1) is 2 .
How many different 9 letter words can be formed from the letters in the word statistics?
Plzz help me with this one i dont know what to do on this one
5x- 3(x-2)
How Can I find ef? Do I multiply add or diving
Problem page nicole purchased a prepaid phone card for $30 . long distance calls cost 24 cents a minute using this card. nicole used her card only once to make a long distance call. if the remaining credit on her card is $18.24 , how many minutes did her call last?
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
The values of x and y are 4.29 and 90.
Given that ∆ABC and ∆FDE are congruent by a certain criterion, let's denote the corresponding sides as follows:
AB = FD (corresponding side)
BC = DE (corresponding side)
AC = FE (corresponding side)
Let's also denote the angles of ∆ABC and ∆FDE as follows:
∠A = ∠F (corresponding angle)
∠B = ∠D (corresponding angle)
∠C = ∠E (corresponding angle)
Now, if we're given specific values for some sides or angles, we can use that information to find the missing values.
Let's assume we're given that AB = 5 cm, BC = 7 cm, AC = 6 cm, ∠A = 40°, and ∠B = 50°.
First, let's find the missing side FD using the side-length proportion:
[tex]\[ \frac{AB}{FD} = \frac{BC}{DE} = \frac{AC}{FE} \][/tex]
Substitute the given values:
[tex]\[ \frac{5}{FD} = \frac{7}{DE} = \frac{6}{FE} \][/tex]
We can solve for FD by setting up the proportion:
[tex]\[ \frac{5}{FD} = \frac{7}{6} \][/tex]
Cross-multiply to solve for FD:
[tex]\[ 5 \cdot 6 = FD \cdot 7 \][/tex]
[tex]\[ 30 = 7FD \][/tex]
[tex]\[ FD = \frac{30}{7} \][/tex]
[tex]\[ FD \approx 4.29 \text{ cm} \][/tex]
Next, we can find the missing angle measures. Since ∠A = ∠F = 40° and ∠B = ∠D = 50°, we can find ∠C = ∠E using the fact that the sum of angles in a triangle is 180°:
[tex]\[ ∠C = 180° - ∠A - ∠B \][/tex]
[tex]\[ ∠C = 180° - 40° - 50° \][/tex]
[tex]\[ ∠C = 90° \][/tex]
So, we have found that FD ≈ 4.29 cm and ∠C = 90°. Thus, the values of x and y are 4.29 and 90, respectively.
Complete question
∆ABC and ∆FDE are congruent by the
criterion. (Use the three-letter abbreviation without spaces.)
The value of x is
, and the value of y is
.
A Blackjack hand is often dealt with one card face up and one card face down. What is the probability that the sum of your two cards will be exactly 21 if the face up card is an Ace? (Assume no other cards have been dealt so far.)
am-n=p (solve for a)
The value of a = (p + n) / m.
To isolate a in the given equation am - n = p, follow these steps:
Start with the original equation: am - n = p.
Add n to both sides of the equation to eliminate n from the left-hand side:
am - n + n = p + n
am = p + n.
Next, divide both sides of the equation by m to solve for a:
(am) / m = (p + n) / m
a = (p + n) / m
Therefore, a = (p + n) / m is the solution to the equation.
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 52.
Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
if there is a vertical line that intersects the graph of a relation in more than one point then the relation is a function true or false
PLEASE HELP!!!! 25-30 points! : )
#1 Solve the proportion.
13-b / 6 = 2-0.5b / 4
A. 72
B. 32
C. 40
D. 64
Please exlpain your answer! :)
#2 Solve the proportion.
x-9 / 3 = 5 / 13
A. 84/5
B. 15/13
C. 132/13
D. 24/13
Please explain your answer! :)
#3 Solve the proportion.
w+14 / 4w+6 = 3/4
A. 19/4
B. 15/28
C. 2/7
D. 8/19
Please explain your answer! :)
#4 Solve the proportion.
x-8 / 5 = 2/4
A. 5/2
B. 9/2
C. 18
D. 21/2
Please explain your answer! :)
A fire truck has a long ladder that is made of 3 sections. Each section is 43/4 meters long.
How long is the ladder when all 3 sections are extended to make one long ladder
The sum of two numbers is 54 and the difference is 12 . what are the numbers?
Find the vertex of the parabola f(x)=x2-6x+13
Which equation represents a line that passes through (5, 1) and has a slope of ?
y – 5 = 1/2(x –1)
y – 1/2 = 5(x –1)
y – 1 = 1/2(x –5)
y – 1 = 5|x-1/2|
Answer:
ITS C
y -1 = 1/2 ( x -5)
The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).
What is Slope?The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.
If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,
y - b = m (x - a)
Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).
So, a = 5, b = 1, m = 1/2
Hence the equation of the straight line is given by,
y - 5 = 1/2 (x - 1)
Hence the correct option is (A)
Your question is incomplete.Please find the missing content here:
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
?y – 5 = 1/2(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|
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1. The price of silver has increased by 15% per year from 2000. In the year 2000, Harry bought a silver bowl for $190. Which of the following functions f(x) can be used to represent the price of the bowl x years after 2000?
f(x) = 190(0.85)^x
f(x) = 190(1.15)^x
f(x) = 15(190)^x
f(x) = 15(0.85)^x
2. Which of the following is equal to the square root of the cube root of 2?
2 to the power of 2 over 3
2 to the power of 3 over 2
2 to the power of 1 over 3
2 to the power of 1 over 6
Answer:
Question 1 is B and Question 2 is D
How many seconds are in a stopwatch showing 4 hours 3 minutes and 10 seconds?
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
A.) –7
B.) –1
C.) 1
D.) 7
could 4.1 cm 8.4 cm and 1.3 cm be the side lengths of a triangle?
For any approximately normal distribution, how can we find the relative frequency of the scores?
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2)
-7/6
7/6
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Answer:
-7/6
Step-by-step explanation:
-2-5/3+3= -7/6