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3 years ago

which equation represents the line that passes through the point (-2,2) and is parallel to y=1/2x + 8

1 answer:

5 0

The first thing is the slope
y = 1/2 x + b is the new line. Now we must solve for b
2 = 1/2 (-2) + b
2 = -1 + b
3 = b
The new line is
y = 1/2 x +3

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Compare fraction 2/8 and 7/8

umka21 [38]

Answer:

2/8 < 7/8

Step-by-step explanation:

Since the denominators are the same, we compare the numerators

2<7 so

2/8 < 7/8

3 0

3 years ago

Fill in the blank: _ _ _ _ _ _ × _ _= 11111111

galina1969 [7]

5555555.5 × 2 = 11111111
Hope it helps!

5 0

3 years ago

measurement error that is continuous and uniformly distributed from millivolts is added to the true voltage of a circuit. then t

satela [25.4K]

Question has missing details (Full question below)

Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage

Answer:

Mean = 219

Variance = 4

Step-by-step explanation:

Given

Let X be a random variable measurement error.

X has a discrete uniform distribution as follows

a = 219 - 3 = 216

b = 219 + 3 = 222

Mean or Expected value is calculated as follows;

E(x) = ½(216+222)

E(x) = ½ * 438

E(x) = 219

Variance is calculated as follows;

Var(x) = ((b-a+1)²-1)/12

Var(x) = ((222-216+1)²-1)/12

Var(x) = (7²-1)/12

Var(x) = 48/12

Var(x) = 4

8 0

3 years ago

What numbers do you need to determine the surface area of a right cone? ANSWERS: The radius of the base, r, and the altitude h.

tiny-mole [99]

Answer:

The Radius of the base, r, and the altitude h

Step-by-step explanation:

Surface area of a right cone

$a=\pi r\sqrt{h^{2}+r^{2} }$

R= Radius

H=Radius

7 0

3 years ago

Which set of steps will translate f(x)=6x to g(x)=6x-5-7

Maurinko [17]

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

7 0

3 years ago