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Mama L [17]
3 years ago
10

What is the length of segment AC?

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

Answer:

10 units

Step-by-step explanation:

To find the length we can use the formula

d = sqrt( (y2-y1)^2 + (x2-x1)^2)

We have the two points (-5,5) and (3,-1)

d = sqrt( (-1-5)^2 + (3--5)^2)

d = sqrt( (-6)^2 + (3+5)^2)

d = sqrt( (-6)^2 + (8)^2)

d = sqrt( 36 + 64)

d = sqrt(100)

d = 10

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Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.

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The mean of shift 3 is:

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Question 7: Solve this system<br><br> A.(15, 10)<br> B.(-15, 10)<br> C.(-10, 25)<br> D.(10, 15)
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Answer:

D. (10, 15)

Step-by-step explanation:

Hi there!

We are given the following system:

\frac{1}{2}x+y=20

x+4y=70

And we want to solve it (find the values of x and y).

Let's use substitution for this problem, where we will isolate one variable on one side, while the other side contains an expression with the other variable. Then, we use the expression to solve for the variable that the expression contains, then use the value of that variable to solve for the aforementioned isolated variable.

Subtract \frac{1}{2}x from both sides in the first equation

y=20-\frac{1}{2}x

Now substitute 20-\frac{1}{2}x as y in x+4y=70

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Do the distributive property

x+80-2x=70

Combine like terms on the left

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Subtract 80 from both sides

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y=20-\frac{1}{2}(10)

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Subtract

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The answer is x=10, y=15, or as a point, <u>(10, 15), aka D</u>

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