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3 years ago

Simplify the expression -2(p+4)

Mathematics

1 answer:

Dima020 [189]3 years ago

7 0

Answer: $-2p-8$

Step-by-step explanation:

You need to remember the Distributive property:

$a(c+b)=ac+ab$

And the multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(+)(-)=-$

Therefore, applying the explained before, to simplify the expression $-2(p+4)$ you need to multiply each term that are inside of the parentheses by -2, then you get:

$-2(p+4)\\(-2)(p)+(-2)(4)\\-2p-8$

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Which statement is TRUE about perpendicular lines? 1. The lines intersect at a right angle 2. The lines are not in the same plan

alexgriva [62]

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Step-by-step explanation:

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3 years ago

Jenna had 45 yards of yarn. She used 1/5 of it for a kitting project. How much yarn did she use

erastovalidia [21]

You want to divide 45 by 5.

45/5= 9

She used 9 yards of yarn for her knitting project.

I hope this helps!
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3 years ago

Read 2 more answers

ITS TIMED PLEASE HELP

Lubov Fominskaja [6]

Answer:

The graph of the function $f(x)=\frac{1}{2}x^{2}-4x+5$ has a minimum located at (4,-3)

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

$f(x)=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex of the parabola

If a > 0 the parabola open upward and the vertex is a minimum

If a < 0 the parabola open downward and the vertex is a maximum

In this problem

The coefficient a must be positive, because we need to find a minimum

therefore

Check the option C and the option D

Option C

we have

$f(x)=\frac{1}{2}x^{2}-4x+5$

Convert to vertex form

$f(x)-5=\frac{1}{2}x^{2}-4x$

Factor the leading coefficient

$f(x)-5=\frac{1}{2}(x^{2}-8x)$

$f(x)-5+8=\frac{1}{2}(x^{2}-8x+16)$

$f(x)+3=\frac{1}{2}(x^{2}-8x+16)$

$f(x)+3=\frac{1}{2}(x-4)^{2}$

$f(x)=\frac{1}{2}(x-4)^{2}-3$

The vertex is the point (4,-3) ( is a minimum)

therefore

The graph of the function $f(x)=\frac{1}{2}x^{2}-4x+5$ has a minimum located at (4,-3)

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3 years ago

8 meters increased by 25%

const2013 [10]

Answer:
10 meters

Explanation:
First, we will compute 25% of 8 as follows:
25% of 8 = 25% * 8
= 0.25 * 8
= 2

Now, 8 increased by 25% of 8 means that we will add the 25% of the 8 that we computed to the 8 we have.
Therefore:
8 increased by 25% = 8 + 25% of 8
= 8 + 2
= 10 meters

Hope this helps :)

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3 years ago

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Gelneren [198K]

Answer:

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Step-by-step explanation:

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