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3 years ago

Simplify completely quantity 5 x squared minus 21 x minus 20 all over quantity 5 x squared minus 16 x minus 16.

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

8 0

(5x^2-21x-20)/(5x^2-16x-16)
((x-5)(5x+4))/((x-4)(5x+4))
(x-5)/(x-4)

SVEN [57.7K]3 years ago

3 0

Answer: Simplified form will be

$\frac{(x-5)}{(x-4)}$

Explanation:

Since we have given that

$\frac{5x^2-21x-20}{5x^2-16x-16}$

We need to simplify the expression, we get,

$\frac{5x^2-25x+4x-20}{5x^2-20x+4x-16}\\\\\text{We will split the middle terms}\\\\=\frac{5x(x-5)+4(x-5)}{5x(x-4)+4(x-4)}\\\\=\frac{(5x+4)(x-4)}{(5x+4)(x-4)}\\\\\text{ Cancel the common terms}\\\\=\frac{(x-5)}{(x-4)}$

Hence, simplified form will be

$\frac{(x-5)}{(x-4)}$

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3 years ago

What is the slope of the line that passes through the point 3,5 and -2,2

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Step-by-step explanation:

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8 0

3 years ago

Find the area of the shape shown below.

vlabodo [156]

Answer:

6 $cm^{2}$ (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

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In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

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I hope this helped and I wasn't waffling on :)

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4 years ago

Read 2 more answers

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Andrews [41]

Answer:

hope this helps you!!!