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2 years ago

Solve the expression for x: (4-2)(x-2)=4x-8

1 answer:

ivann1987 [24]2 years ago

5 0

First, distribute the left side. You should get 4x-8-2x+4=4x-8. Then, get all the xs on one side.

4x-2x-4x-8+4=-8

Then, put the numbers on one side.

4x-2x-4x=-8+8-4

Then, add it up.

-2x=-4

Then, solve for x.

(-2x)/(-2)=(-4)/(-2)

x=2

Hope that helps!

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2 years ago

Read 2 more answers

What is the P(T,H,T,H) on 4 flips of a coin?<br><br> i need help

Katen [24]

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H) P(T) P(H)

= 1/2 * 1/2 * 1/2 * 1/2

= 1/16

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2 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

Olivia finished a race in 40.64 seconds. Patty finished the race in 40.39 seconds. Miguel finished the race in 41.44 seconds. Ch

Reika [66]

Patty because she has the lowest time out of them all. From least to greatest Patty would be the least with her time being shorter than the rest

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2 years ago

Connie's dog fido weighs 35 pounds. Her vet placed fido on a diet. What inequality can you write to find the average number of p

lawyer [7]

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Step-by-step explanation:

Given,

Weight of fido's dog = 35 pounds

Time period = 6 months

Goal weight to reach = 28 or less pounds

Let,

m be the weight to be lose each month.

Weight of dog - Time period * Weight to lose each month ≤ Goal weight

$35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7$

Dividing both sides by -6

$\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17$

Fido's dog must lose 1.17 pounds each month to reach healthier weight.

Keywords: division, subtraction

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago