Plz answer this step by step thank you x^2 + 15x + 56

Mathematics

1 answer:

Schach [20]3 years ago

4 0

Answer:

(x + 7)(x + 8)

Step-by-step explanation:

${x}^{2} + 15x + 56 \\ = {x}^{2} + 8x + 7x + 56 \\ = {x}(x + 8) + 7(x + 8) \\ = \huge \red{ \boxed{ (x + 8)(x + 7)}}$

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What are we trying to figure out with this information??

P.S. I am not collecting the points, I will revise my answer once you fix the question!! :)

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Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU

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A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

$\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}$

Similarly, the breadth will be,

$\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5$