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2 years ago

Find the value of x for which ABCD must be a parallelogram.

Mathematics

1 answer:

lbvjy [14]2 years ago

3 0

<span>parallelogram, opposite sides are equal
</span>so
5x - 8 = 2x + 7
3x = 15
x = 5

hope it helps

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2 years ago

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2 years ago

How do you rewrite p(x)=-5x2+120x-315 in vertex form

True [87]

Answer:

$p(x)=-5(x-12)^2+405$

Step-by-step explanation:

Hi there!

Vertex form: $f(x)=a(x-h)^2+k$

$p(x)=-5x^2+120x-315$

Factor out -5 from the first two terms

$p(x)=-5(x^2-24x)-315$

Complete the square by adding $(\frac{24}{2} )^2$ (the square of half of the x-coefficient)

$p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2$

We're subtracting $(-5)(\frac{24}{2} )^2$ because we need to keep the equation balanced and we can't just add new values.

Complete the square

$p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2$

Simplify

$p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405$

Summary:

Complete the square
Simplify

I hope this helps!

4 0

2 years ago

Please solve for b.

Elena-2011 [213]

For this one.
$-\frac{9}{3}+b=-1 \ \textgreater \ \mathrm{Divide\:the\:numbers:}\:\frac{9}{3}=3 \ \textgreater \ -3+b=-1$

$\mathrm{Add\:}3\mathrm{\:to\:both\:sides} \ \textgreater \ -3+b+3=-1+3 \ \textgreater \ Simplify \ \textgreater \ b=2$

Hope this helps!

5 0

3 years ago

Write a word description of the set.<br> {-5, -4, -3, -2, -1}

qwelly [4]

Negative multiples of 1

6 0

3 years ago