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stepladder [879]
3 years ago
13

The segment image is drawn from F(2, 9) to H(10, 1) with point G on the segment. What coordinates for point G will divide image

so that is imageis 3:5?
Mathematics
1 answer:
igomit [66]3 years ago
8 0
Answer: The point (5, 6) would divide the line segment so it is in the ratio of 3:5.

If the ratio of the line segment needs to be 3:5, that means the point will be at the 3/8 distance mark of the line segment. Because there are 8 total parts if the ratio is 3:5 (3 + 5 = 8).

The slope from (2, 9) to (10, 1) is -8/8. So our point would only move 3/8 of that distance. If we multiply -8 and 8 by 3/8, we have -3 and 3.

That means our point must fall 3 and move to the 3 spaces from our starting point of (2, 9). That will put us at (5, 6).
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A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x
Dmitriy789 [7]
Our task here is to find possible factors of <span>x^2 + 27x + 162.
We need to check out possible factors of 162 first.  Examples are:
2(81), 3(54), 6(27), 9(18), and so on.  Notice that 9 and 18 add up to 27, so that the factors (x+9) and (x+18) produce x^2 + 27x + 162 when mult. together.</span>
7 0
3 years ago
7. Write the equation of a line which passes through the points (-3,5) and (6,23)
faust18 [17]

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

7 0
3 years ago
Please help me with this
ziro4ka [17]

Answer:

Q1: 3

Q2: reflected (a)

Q3: a

Q4: false

Q5: 90°(b)

Step-by-step

srry if it's wrong cuz I dont remember some of these but I tried

7 0
3 years ago
Read 2 more answers
Need help with number 26 and 27
Vlad1618 [11]
26
thursday 138 (46 x 63 / 21 = 138)
friday 99 (33 x 63 / 21 = 99)

27.
 100% - 80% = 20%

20% = 0.2

150 * 0.2 = 30

answer: 30 students chose math




4 0
2 years ago
Find an equation of the line passing through the point (−6,−5) that is parallel to the line y=4/3x−5
WINSTONCH [101]

Answer:

The answer is

<h2>y =  \frac{4}{3} x + 3</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

y = 4/3x - 5

Comparing with the general equation above

Slope/ m = 4/3

Since the lines are parallel their slope are also the same

So we have

Slope of parallel line = 4/3

Equation of the line using point (−6,−5) and slope 4/3 is

<h3>y  + 5 =  \frac{4}{3} (x + 6) \\ y + 5 =  \frac{4}{3} x + 8 \\ y =  \frac{4}{3} x + 8 - 5</h3>

We have the final answer as

<h3>y =  \frac{4}{3} x + 3</h3>

Hope this helps you.

4 0
3 years ago
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