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4 years ago

Find the slope and y intercept of the line represented by each table

Mathematics

1 answer:

charle [14.2K]4 years ago

6 0

Step-by-step explanation:

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Given the system of equations, what is the y-coordinate of the solution?

bulgar [2K]

If you plug in the second equation (x=5-3/2y) into the first, you get:

5(5-3/2y) - 4y = 7

Simplify:

25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25
23/2 y = 18
y = 18 * 2/23 = 36/23

answer B!

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3 years ago

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When you roll a number cube, there are 6 possible _____.

IgorLugansk [536]

The correct answer is C, outcomes

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3 years ago

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Solve for x -3(-5x+2)+x-3=39

omeli [17]

15x-6+x-3=39
16x-9=39
16x=39+9
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x=48/16
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3 years ago

Radius of ball is 6in. What is the volume?

Lina20 [59]

Radius of ball is 6 inches. Then the volume is 904.32 $in^3$

Solution:

Given that, radius of a ball is 6 inches.

We have to find the volume of the ball with 6 inches radius.

Now, we know that, a ball will be in a shape of sphere, so we have to use the volume of a sphere formula to find the volume of the ball.

The volume of sphere is given as:

$\text { volume of sphere }=\frac{4}{3} \pi r^{3}$

where r is the radius.

Here in our problem, r = 6

$\text { Then, volume }=\frac{4}{3} \times \pi \times 6^{3}$

$\begin{array}{l}{=\frac{4}{3} \times \pi \times 6 \times 6 \times 6} \\\\ {=4 \times \pi \times 2 \times 6 \times 6} \\\\ {=8 \times \pi \times 36} \\\\ {=288 \pi=288 \times 3.14=904.32}\end{array}$

Hence the volume is 904.32 $in^3$

6 0

3 years ago

Determines the length of the chord intercepted by the straight line of equation y = -4x + 8 on the parabola of equation y = -3x^

nirvana33 [79]

Answer:

Let's work out the intercepted points:

-4x + 8 = -3x^2 + 5x + 2

<=>

3x^2 - 9x + 6 = 0

<=>

x^2 - 3x + 2 = 0

<=>

(x - 1)(x - 2) = 0

<=>

x = 1 => y = -4 x 1 + 8 = 4 => A(1, 4)

and

x = 2=> y = -4 x 2 + 8 = 0 =>B(2, 0)

Then, length of chord AB is calculated by:

L = sqrt [(2 - 1)^2 + (0 - 4)^2)] = ~4.123

6 0

3 years ago