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2 years ago

what is the scope of the line that passes through the points (-10,8) and (-15,-7). the answer needs to be in simplest form

Mathematics

1 answer:

blagie [28]2 years ago

5 0

Answer:

Step-by-step explanation:

Slope of a line m= y₂-y₁/x₂-x₁

From question;

(-10,8)= (x₁,y₁)

(-15,-7)= (x₂, y₂)

Substitute into formula;

m= $\frac{-7-8}{-15-(-10)}$

m= $\frac{-15}{-15+10}$

m= $\frac{-15}{-5}$

m= 3

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State the intervals for which the given quadratic is positive and when it is negative.

goblinko [34]

Answer:

Positive at (-9, 2)
Negative at ( -oo, -9) or (2, + oo)

Step-by-step explanation:

Given function

y= -2x^2 - 14x + 36

Getting zero's

-2x^2 - 14x + 36 = 0
x^2 + 7x - 18 = 0

x = ( -7 ± √(49 +72))/2 = ( -7 ± 11)/2
x = - 9 and x = 2

As the x^2 has negative coefficient, the function is positive between -9 and 2

- 9 < x < 2 or
(-9, 2)

And it is negative at:

x < -9 and
x > 2
or
( -oo, -9) or (2, + oo)

3 0

3 years ago

Find the value of x in the parallelogram below.

Dennis_Churaev [7]

Answer:

129

Step-by-step explanation:

the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129

8 0

2 years ago

Determine the area of the composite figure.

MaRussiya [10]

Answer:

$110\ in^2$

Step-by-step explanation:

$1)\ A_1 = b * h_1 = 10 * 8 = 80\ in^2$

$2)\ A_2 = \frac{b*h_2}{2} = \frac{10*(14-8)}{2} = \frac{10*6}{2} = \frac{60}{2} = 30\ in^2$

$3)\ A = A_1 + A_2 = 80 + 30\ in^2 = 110\ in^2$

6 0

2 years ago

What is the probability of either outcome b or d?

anygoal [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find y. Round to the nearest tenth: 31° у х 400 ft y = [ ? ]ft

hram777 [196]

Y equals 240.3 ft. This is because the bottom angle of the triangle is an alternate interior angle to 31 degrees, so it is also 31 degrees. You can then create the equation tan31=y/400. To find y multiply each side by 400 and you’ll get 240.344

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3 years ago