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UkoKoshka [18]
3 years ago
9

Point R is on line segment QS

Mathematics
1 answer:
igomit [66]3 years ago
5 0

Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

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Write the equation of a line passing through the points ​(2​, -4​) and ​(2​, -9​). Write the equation in​ slope-intercept form.
Norma-Jean [14]
1. find our slope: y2 - y1/ x2- x 1

-9 + 4= -5
2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

y + 4 - 4 = y
0x - 4 = 0x - 4

4. write in slope-intercept form:

y = 0x - 4
OR
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8 0
3 years ago
A rock is released from rest and freely falls 70 m to the ground. What is its velocity just before impact? A. 1.2 m/s B. 7.0 m/s
Yuri [45]

Answer:

37.04 m/s

Step-by-step explanation:

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v0 = 0 m/s

x = 0

this will allow us to solve for time

0 = 70 + 0 +-4.9t^2

t = 3.779

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v = 0 + 9.8(3.77)

v = 37.04 m/s

5 0
3 years ago
Consider the parabola y = 8x − x2. (a) find the slope of the tangent line to the parabola at the point (1, 7). 6 (b) find an equ
Brut [27]
In order to find any of the info we need we have to find the first derivative of the equation.  If y=-x^2+8x,  then  y'=-2x+8.  We are told to find the slope at point (1, 7).  Using that x value in our derivative will give us the slope of the line at that point.  y' = -(1)^2+8.  So y' = 7.  That's the slope of the line.  Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b.  7 = 7(1) + b so b = 0.  Our equation then is y = 7x.  If you graph these in the same window on your calculator, you can see how perfectly that align at the given point.  It's really quite perfect.
5 0
3 years ago
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Jason wrote this expression to describe the total amount he will spend on a magazine and a book.
kati45 [8]
The 11 may represent the price of the magazine if all the magazines at a certain store are $11. Then the s may represent the price of a book because all the books at a bookstore are different prices.

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8 0
3 years ago
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Cora makes a scarf with cloth rectangles and triangles. For every 5 pieces of cloth, 2 are rectangles. She needs 15 pieces of cl
PtichkaEL [24]

Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

Explanation:

Since we have given that

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So, remaining piece will be of triangle so,

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3 are triangles.

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Now, she needs 15 pieces of cloth to complete her scarf,

So, Number of rectangles is needed is given by

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Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.

6 0
3 years ago
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