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3 years ago

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Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

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Answer:

Step-by-step explanation:

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Which statement is true about the factorization of 30 ex 2+40 XY +51y2

forsale [732]

The statement that is true about the factorization of 30x2 + 40xy + 50y2 is that <span>The factorization of the polynomial is 10(3x2 + 4xy + 5y2).</span>

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3 years ago

I don't get it please help

Elis [28]

2, (double) 4, (double) 8 (double) 16, So 16 in week 4
2+4+8+16 = 30

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3 years ago

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If a rectangle A has sides are three times the length of those rectangle B, how do the areas of the two rectangles compare?

Radda [10]

Answer:

The area of A is nine times the area of B.

Step-by-step explanation:

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3 years ago

WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram