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4 years ago

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Solve for P: 9(p−4)=−18 Please Explain

1 answer:

vekshin14 years ago

3 0

Answer:

<em>p</em> = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.

9(<em>p</em> - 4) = -18

9*<em>p</em> - 9*4 = -18

9<em>p</em> - 36 = -18

Add 36 on both sides to isolate the variable (in this case, <em>p)</em>

9<em>p</em> = -18 + 36

You can also write it like this; 9<em>p</em> = 36 - 18

9<em>p</em> = 18

Divide 9 to isolate <em>p</em>

<em>p</em> = 2

So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

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Which of the following is a perfect square?

o-na [289]

Greeting's!

<span>B. 279
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3 years ago

Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who

alekssr [168]

Answer:

They traveling at $0.37\ m/s$ in backward direction.

Step-by-step explanation:

Given mass of Ammy $m_1=55kg$

and velocity is forward at $v_1=3m/s$

Also, mass of Jenny $m_2=40kg$

Who is travelling in opposite direction $v_2=-5m/s$

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is $v$

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

$m_1v_1+m_2v_2=(m_1+m_2)v$

$(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s$

So, velocity after collision $v$ ≅ $-0.37m/s$ is in opposite direction. That is the direction of Jenny.

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3 years ago

Y=1/4x + 6<br> that passes through the point (-4, 3) in slope-intercept form.

Komok [63]

Answer:

The answer is

<h2> $y = \frac{1}{4} x + 4$ </h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

The equation is

y = 1/4x + 6

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

That's

Slope of parallel line = 1/4

So the equation of the parallel line using point (-4 , 3) and slope 1/4 is

<h3> $y - 3 = \frac{1}{4} (x + 4) \\ y - 3 = \frac{1}{4} x + 1 \\ y = \frac{1}{4} x + 1 + 3$ </h3>

We have the final answer as

<h3> $y = \frac{1}{4} x + 4$ </h3>

Hope this helps you

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3 years ago

Find the value of a squared + b when a= -2 and b=5

ollegr [7]

Answer:

9

Step-by-step explanation:

a²+b where a= -2, b=5

(-2)²+(5)

=4+5

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3 years ago

A rectangular prism is 4 units by 2 1/2 units by 1 1/2 units. How many cubes with a side length of 1/2 unit will completely fill

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4 years ago