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3 years ago

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5-2(4a+1)+3a=13 A= 2/3 A= -2 A= -6/5 A=2

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

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Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock h, in feet, after t s

fomenos

Answer: It will take 4 seconds for the rock to hit the water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock h, in feet, after t seconds is given by the equation

$h = -16 t^2+ 52 t + 48$

To find : Time taken for the rock to hit the water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

$-16 t^2+ 52 t + 48 =0$

Divide equation by 2 , we get

$-8t^2+26t+24=0$

The Laue of x for ax²+bx+c =0 is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

So , $t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}$

$t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4$

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds for the rock to hit the water.

5 0

3 years ago

Solve<br>1. A cylinder with a radius of 5cm and a height of 6.8cm.

BigorU [14]

Answer:

534.071

Step-by-step explanation:

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3 years ago

Find the slope of the line that passes through the pair of points. <br><br> (1.8, –3.4), (6.8, –8.4)

elixir [45]

Answer:

-1

Step-by-step explanation:

If a straight line passes through the known points (x1, y1) and (x2, y2), the its slope is given by $m = \frac{y1-y2}{x1-x2}$

Now, in our case the straight line passes through the points (1.8, - 3.4) and (6.8, - 8.4).

Therefore, the slope of the required straight line will be $m = \frac{-3.4-(-8.4)}{1.8-6.8}= -1$ ( Answer )

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4 years ago

80 divide by 10 is 8

iogann1982 [59]

That as an expression would be $\frac{80}{10}=8$

8 0

4 years ago

Read 2 more answers

Please explain how to do it

Juli2301 [7.4K]

Answer:

k = 4

Step-by-step explanation:

if direct variation exists,

input * k = output

here, number of baskets = input and cost = output

3 * k = 12

5 * k = 20

6 * k = 24

8 * k = 32

15 * k = 60

does this always work for one k?

let's try it out

3 * k = 12

divide both sides by 3 to solve for k

k = 4

5 * k = 20

divide both sides by 5 to solve for k

k = 4

6 * k = 24

divide both sides by 6 to solve for k

k = 4

8 * k = 32

divide both sides by 8 to solve for k

k = 4

15 * k = 60

divide both sides by 15 to solve for k

k = 4

as k = 4 no matter what, there is a direct variation with k = 4

4 0

3 years ago