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stiks02 [169]
3 years ago
14

A line segment has endpoints at (-3, 8) and (9, -7). A point on the segment partitions the segment into a ratio 2:1. What is the

point?
Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

Step-by-step explanation:

In this problem, x1 is -3, y1 is 8, x2 is 9, and y2 is -7. From the ratio 2:1, a = 2 and b = 1. Use these formulas to find the x and y coordinates of the point on the directed line segment:

For the x coordinate:

\frac{bx_1+ax_2}{a+b}

For the y coordinate:

\frac{by_1+ay_2}{a+b}

Filling in accordingly for x:

\frac{1(-3)+2(9)}{3} which simplifies down to 5;

for y:

\frac{1(8)+2(-7)}{3} which simplifies down to -2

Write these down because they are hard to remember but so simple to use!!!

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Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.

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2 years ago
Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?
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2 years ago
What is the area of triangle HGF? Round your answer to the nearest tenth of a square centimeter. Recall that you need to round u
denpristay [2]

Answer:

9.8

Step-by-step explanation:

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7 0
2 years ago
What the questions are asking help ASAP please
Rudiy27

Answer:

Step-by-step explanation:

A scalar is a constant value that is multiplied throughout a matrix.

e.g.

In number 1 the set up would look like this

3 * \left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]

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3 0
3 years ago
These are all my points I'm desperate please help I've posted this 4 other times
Juliette [100K]

Answer:

y = (x+3)^2 -1

Step-by-step explanation:

The vertex form of the equation is

y = a(x-h)^2 +k  where (h,k) is the vertex

The vertex is (-3,-1)

y = a(x- -3)^2 -1

y = a(x+3)^2 -1

Pick another point  (-2,0) and substitute it into the equation

0 = a(-2+3)^2 -1  to find a

0 =a(1)^2 -1

0 = a-1

1 = a

y = (x+3)^2 -1

8 0
3 years ago
Read 2 more answers
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