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3 years ago

Two integers whose product is 90 and whose sum is 21

Mathematics

2 answers:

Likurg_2 [28]3 years ago

8 0

Answer:

6 and 15

Step-by-step explanation:

Leni [432]3 years ago

5 0

Answer:

6 and 15

Step-by-step explanation:

the factors of 90 are:

1 90

2 45

3 30

5 18

6 15

9 10

find the factors that =21

6+15=21 and 6 x 15=21

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If g(x)=x+1/x-2 and h(x)=4-x what is the value of (g•h)(-3)

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3 years ago

What is the prime factorization of 36? 2 ²× 9 2 × 3² 2² × 3² 3 × 13

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Step-by-step explanation:

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What is the value of x in the equation 8 + 4 = 2 (x minus 1)?

satela [25.4K]

Answer:

x= 7

Step-by-step explanation:

The equation is 8+4= 2(x-1)

Distribute into the parenthesis.

8+4= 2x-2

Now, add.

12= 2x-2

Add 2 to both sides.

12= 2x-2

+2 +2

Then, divide by 2 to both sides to isolate the variable.

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Are AB and CD parallel, perpendicular, or neither?* 1. A(-4, 8), B(4, 10), C(1, 1), D(-2, 13)

ohaa [14]

Answer:

Perpendicular

Step-by-step explanation:

Given

$A = (-4, 8)$

$B = (4, 10)$

$C = (1, 1)$

$D = (-2, 13)$

Required

Is AB and CD parallel?

First, we need to calculate the slope (m) of AB and CD

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

For AB:

$A (x_1,y_1)= (-4, 8)$

$B(x_2,y_2) = (4, 10)$

So:

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

$m = \frac{10 - 8}{4 - (-4)}$

$m = \frac{10 - 8}{4 +4}$

$m = \frac{2}{8}$

$m = \frac{1}{4}$

For CD:

$C(x_1,y_1) = (1, 1)$

$D(x_2,y_2) = (-2, 13)$

So:

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

$m = \frac{13 - 1}{-2 - 1}$

$m = \frac{12}{-3}$

$m = -4$

For Lines to be parallel, the slope must be equal:

i.e. $m_1 = m_2$

This condition is not true because:

$\frac{1}{4} \neq -4$

For Lines to be perpendicular, the slope must be:

$m_1 = -\frac{1}{m_2}$

This implies:

$\frac{1}{4} = -\frac{1}{-4}$

$\frac{1}{4} = \frac{-1}{-4}$

$\frac{1}{4} = \frac{1}{4}$

Hence, the lines are perpendicular

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3 years ago