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LenaWriter [7]
3 years ago
11

The graph represents one side of the roof of a building. The slope of the line is

Mathematics
2 answers:
Aliun [14]3 years ago
6 0

Answer:

7/2, 3.5 (depending on which form you want it in)

Step-by-step explanation:

Looking at the numbers on the side, lets take two points they already gave us.

It goes up 14, and over 4 from 0,0.

14/4 Simplify.

7/2

7/2 is your slope

Note:

For those asking why it isn't "10/3" or anything else, It's because we can't be sure the line crosses that coordinate at that point. So lets just take two points where we know the actual coordinates, and derive the slope from that because it's more accurate.

s2008m [1.1K]3 years ago
6 0

The slope of the line is 7/2.

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A circle has a diameter with endpoints (7, -7) and (5, -3). What is the equation of the circle?
netineya [11]
For equation, we need 1) center, 2) radius
both can be found by using distance formula between 2 points:
d =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }  \\  = \sqrt{ {(5 - 7)}^{2}  +  {( - 3 -  - 7)}^{2} } \\ =  \sqrt{ {(2)}^{2}  +  {(4)}^{2} } =  \sqrt{4 + 16}
d =  \sqrt{20}  =  \sqrt{4}  \times \sqrt{5}  = 2 \sqrt{5}
So our diameter is 2sr5, therefore our radius is half that: r = d/2 = 2sr5/2 = sr5
Now to calculate the center, go halfway between the x's and between the y's:
((7-5)/2 + 5, (-7--3)/2 + -3)
= ((2)/2 + 5, (-7+3)/2 + -3) = (1 + 5, (-4)/2 + -3)
= (1 + 5, -2 + -3) = (6, -5)
So our center is at (6, -5), where (h, k) is center for the formula, so h = 6, k = -5
Equation of a circle:
{(x - h)}^{2}  +  {(y - k)}^{2} =  {r}^{2}   \\  {(x - 6)}^{2}  +  {(y  + 5)}^{2} =  {( \sqrt{5}) }^{2}   \\  {(x - 6)}^{2}  +  {(y  + 5)}^{2} =  5
5 0
2 years ago
I have two questions.
Vanyuwa [196]
1. Since M is the midpoint, then AM = MB.
2x + 5 = 5x - 22
3x = 27
x = 9.

2. Since M is the midpoint, then QM = MR.
<span>2x + 5 = 5x - 1
3x = 6
x = 2
QR = QM + MR 
QR = 2x + 5 + 5x - 1
QR = 7(2) + 4
QR = 18 units</span>
7 0
2 years ago
3x2 +4=0 whats the answer?
Rufina [12.5K]

Answer:

False

Step-by-step explanation:

3x2 is 6 and 6 +4 is not 0 it is ten 10 norder of operations

3 0
3 years ago
Read 2 more answers
Mike is pouring a two foot cement sidewalk around the perimeter of his swimming pool. His swimming pool measures 6 feet by 14 fe
frosja888 [35]
9 inches * 1 foot / 12 inches
= 3/4 feet deep

Area of the sidewalk: 
= the sides of the pool * the width of the sidewalk + the corners of the sidewalk (width * width)
= 2 sides * 6 (feet / side) * 2 feet + 2 sides * 14 (feet / side) * 2 feet + 4 corners * (2 feet * 2 feet / corner)
= 12 feet * 2 feet + 28 feet * 2 feet + 4 * 2 feet * 2 feet
= 24 feet^2 + 56 feet^2 + 16 feet^2
= 96 feet^2

Volume:
= 96 feet^2 * 3/4 feet
= (96 * 3 / 4) feet^3
= (19 * 3) feet^3
= 57 feet^3
4 0
3 years ago
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Find the values of x and y.
kotykmax [81]

Answer:

y=9 and x=18

Step-by-step explanation:

You know that y+3=12 so 12-3=9

You know that x-3=15 so 15+3=18

6 0
2 years ago
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