Line AB goes through the points A (0, –4) and B (6, 2). Which equation represents line AB?

Answers

Answer 1

Answer: the graph equation is in the form y = mx + c
we need to find m - gradient and c - intercept of the graph
since we have been given 2 points we know the x and y coordinates of these 2 points
point A , x = 0 and y = -4
point B , x = 6 and y = 2
substituting these x and y values in y = mx + c form
-4 = m*0 + c
-4 = c
then intercept is -4
substituting x and y in point B
2 = m * 6 + c
since c = -4
2 = 6m - 4
6m = 6
m = 1

since we know m=1 and c = -4
the equation for line AB is
y = 1*x - 4
y = x - 4

Answer 2

Answer:

Answer: the answer is y + 4 = x

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Find the unknown value of 5/25 = 13/

Answers

65, since 25/5=5.
13*5=65

The unknown value is 65. All of my work is in this image. And if my answer was helpful, please choose my answer as the brainliest one. Thank you!!!

Pls halp due today thank you!

Answers

Slope = -8/1
Y-Intercept = (0,4)
Equation = y=-8+4

Answer:

Step-by-step explanation:

The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

If n is odd, then the formula for calculating median is given by;

Median = $((n+1)/(2) )^(th) \text{ obs.}$

If n is even, then the formula for calculating median is given by;

Median = $\frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}$

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = $((n+1)/(2) )^(th) \text{ obs.}$

= $((5+1)/(2) )^(th) \text{ obs.}$

= $((6)/(2) )^(th) \text{ obs.}$

= 3rd obs. = 19

Hence, the median of the data in the table is 19.

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.

Answers

The volume of a sphere:
$V=(4)/(3) \pi r^3$
r - the radius

3392.92 cubic inches are poured into 30 spheres.
$3392.92=30 * (4)/(3) \pi r^3 \n \n3392.92=40\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ |/ 40 \n \n84.823=\pi r^3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ \pi \n \nr^3=(84.823)/(\pi) \n \nr=\sqrt[3]{(84.823)/(\pi)} \n \nr \approx \sqrt[3]{27} \n \nr \approx 3$

The diameter is twice the radius.
The diameter of each sphere should be approximately 6 inches.

Answer:

6 inches

Step-by-step explanation:

correct on Plato/ edmentum courseware

Which of the following expressions shows the expression 1/2x+3−2/5x+1 in simplest form?

Answers

Hey there!

1/2x + 3 - 2/5x + 1

COMBINE the LIKE TERMS

= (1/2x - 2/5x) + (3 + 1)

1/2x - 2/5x = 1/10x

3 + 1 = 4

= 1/10x + 4

Therefore, your answer is: 1/10x + 4

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

$\huge\boxed{(1)/(2)x+3-(2)/(5)x+1=(1)/(10)x+4}$

Step-by-step explanation:

$(1)/(2)x+3-(2)/(5)x+1\n\n=\left((1)/(2)x-(2)/(5)x\right)+(3+1)\n\n=\left((1\cdot5)/(2\cdot5)x-(2\cdot2)/(5\cdot2)x\right)+4\n\n=\left((5)/(10)x-(4)/(10)x\right)+4\n\n=(1)/(10)x+4$

Determine whether (6,4) is a solution of y = 19x - 2.

Answers

Answer:

Not a solution

Step-by-step explanation:

To determine if a pair of coordinates is the solution to an equation, just plug it in.

Given that the equation is:

y = 19x - 2

And the coordinates they give us to evaluate:

(6, 4)

Plug the coordinates in:

y = 19x - 2

4 = 19(6) - 2

4 = 114 - 2

4 = 112

4 ≠ 112

4 is not equal to 112. Therefore this pair is not the solution.

Answer: No, it's not a solution.

Explanation

The point (6,4) tells us that x = 6 and y = 4 pair up together.

Plug those values into the equation. Simplify both sides as much as possible (use PEMDAS). If we get the same thing on both sides, then that point is a solution to the equation.

y = 19x - 2

4 = 19*6 - 2

4 = 114 - 2

4 = 112

We get different values on each side. Therefore, the point (6,4) is not a solution to the equation.

Another approach you could do is graph the equation using a tool like Desmos. GeoGebra works as well. The point (6,4) is not on the diagonal line. Check out the diagram below to see what I mean.

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