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gtnhenbr [62]
3 years ago
11

Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

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Plz help but not if you don't know
balandron [24]
I hope this helps you



Euclid



h^2=4.6



h=2 square root of 6



h^2+6^2=base^2


24+36=base^2


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h^2+4^2=height^2


24+16=height^2


height=2 square root of 10


5 0
3 years ago
Which equations show the identity property of multiplication?
Lady bird [3.3K]
My answer is a and c becuase they equal the same on each side
3 0
3 years ago
A diagonal of a square is 36 feet long. What is the area of the square?
Rzqust [24]
So you can you the Pythagorean theorem to solve this problem.

if each side of the square is a certain length x, then the square is made up of two right triangles.

the sides adjacent to the right angle are length x while the hypoteneus is the diagonal whcih measures 36 feet.

a^2 + b^2 = c^2

x^2 + x^2 = 36^2

2x^2 = 1296

x^2 = 648

x = 25.456

area of a square = x^2 = 648 ft^2
3 0
3 years ago
Twenty middle school students are outside a movie theater waiting for it to open. There are four more girls than
Lapatulllka [165]

Answer:

0.4 , 0.1

Step-by-step explanation:

Let number of boys be = b , number of girls = b + 4 . As total students = 20    b + b + 4 = 20  → 2b + 4 = 20 → 2b = 20 - 4 = 16 → b = 16 / 2 = 8 (boys) , so girls = 12

Prob (a random first child is a boy) = boys / total students = 8 c 1 / 20 c1, or =  8  / 20  = 0.4

Prob ( a 'Tina' out of two Tina is the last) = 2 c 1 / 20 c 1 , or = 2 / 20 = 0.1

8 0
3 years ago
A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When
Stolb23 [73]

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

\mathbf{H_o:\mu = 2}  \\ \\  \mathbf{H_1 : \mu \ne 2}

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}

Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}

Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}

Z =2.11

The p-value = 2(Z > 2.11)  since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the \mathbf{H_o}  if the p-value is less than \mathbf{H_o}

Conclusion: We fail to reject \mathbf{H_o} and conclude that the population mean = 2, thus the machine is properly adjusted.

4 0
3 years ago
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