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Marianna [84]
2 years ago
11

what is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14

Mathematics
1 answer:
dmitriy555 [2]2 years ago
6 0
Answer:

y = -1/2x - 4

Step-by-step explanation:

First we wanna convert x + 2y = 14 into a slope-intercept equation.

x + 2y = 14

2y = 14 - x

y = 7 - x/2 or y = -1/2x + 7

Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.

But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…

y = -1/2x + b

use the given point in the question

0 = -1/2(-8) + b

0 = 4 + b

b = 0 - 4

b = -4

The y-intercept of the line is -4

The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4
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Leya [2.2K]

Answer:

If these are in exponent form -- the answer would be 2.01 x 10^{15} > 2.8 x 10.3

Step-by-step explanation:

Look at the sheet attached.

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iren2701 [21]

Answer:

3/2

Step-by-step explanation:

Use this formula y2-y1/x2-x1

PLUG IN YOUR POINTS

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6/4 (simplify)

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Hope this helps ya!!

7 0
3 years ago
..the cat and the hat to the pat in the rug on the hug
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
Please helppppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
LuckyWell [14K]

Answer:

BH = 16

Step-by-step explanation:

The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.

That means that BH is 2/3 of the length BF.

BH = (2/3)(BF)

BH = (2/3)(24)

BH = 16

7 0
3 years ago
Can someone please help me please
Assoli18 [71]
A
Volume of the Cylinder
Givens
H = 60 yards.
Diameter = 20 yards
pi = 3.14

Formula
V = pi * r^2 * h

Calculations
r = d/2
r = 32/2
r = 16

V =  3.14 * 16^2 * 60 
V = 48230 cubic yards [Cylinder's Volume]

Cone
<em>Formula</em> 
V = 1/3 pi r^2 H

<em>Givens</em>
pi = 3.14
r = 16 yards
h = 20 yards

<em>Sub and solve</em>
V = 1/3 3.14 * 16^2 * 20
V = 5359 cubic yards.

<em>Total Volume of the structure</em>
48230 + 5359 = 53589 Cubic Yards

<em>Water Content</em>
The answer to this part requires a proportion.

1 Cubic yard will hold 201.97 gallons.
53589 yd^3 = x

1/201.97 = 53589 /x  [ You should get a pretty big answer]
x = 201.87 * 53589
x = 10 819 092 gallons can be held by the tank. 

10 819 092 gallons <<<< answer

B 
If the height of both the cylinder and the cone remain the same. If the radius doubles in both the cylinder and the cone then the tank will hold 4 times as much. 

Total volume before doubling the radius = pi * r^2 h + 1/3 pi r^2 h
New Total Volume = pi * (2*r)^2 h + 1/3 pi * (2r)^2 h
New Total volume = pi * 4r^2 h + 1/3 pi *4 r^2 h
New Total Volume = 4 [pi r^2 h + 1/3 pi r^2 h]
but pi r^2 h + 1/3 pi r^2 h is the total volume before doubling the radius

New volume = 4 original volume. <<<<< answer to part B
6 0
3 years ago
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