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cupoosta [38]
2 years ago
15

Write the equation of the line that passes through the points (3, 4) and (5, 8)

Mathematics
1 answer:
shusha [124]2 years ago
7 0

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-4)/(5-3)

m=4/2

m=2

y-y1=m(x-x1)

y-4=2(x-3)

y=2x-6+4

y=2x-2

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THIS IS IMPORTANT!!What is the apparent solution to the system of equations?
Ann [662]
Make each equation equal to each other, then solve for x.
-x+2=4x+7
-x-4x=7-2
-5x=5
X=-1
Sub x into one if the y formulas to find y
Y=4x+7
Y=4(-1)+7
Y=-4+7
Y=3
See my picture for how to graph the points.
Hope this helps!

8 0
3 years ago
Charlie knows that 3 blocks are needed to make a tower that is 0.5 foot high.
iogann1982 [59]

Answer:

24 blocks will be needed to make the tower that is 4 feet high

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ Charlie knows that 3 blocks are needed to make a tower that is

   0.5 foot high

∵ He needs to make a tower that is 4 feet high

→ By using the ratio method

→  Blocks  :  height (ft)

→   3          :   0.5

→   x          :   4

→ By using the cross multiplication

∵ x × 0.5 = 3 × 4

∴ 0.5x = 12

→ Divide both sides by 0.5 to find x

∵ \frac{0.5x}{0.5} = \frac{12}{0.5}

∴ x = 24

∵ x represents the number of blocks

∴ 24 blocks will be needed to make the tower that is 4 feet high

7 0
3 years ago
F(x) = -2x² – 3 and
Anarel [89]

Answer

f(-4) = 125, g(6) = -13

Step-by-step explanation:

all of those symbols might look really scary, but really all the problem is asking you to do is substitute -4 into the x in f(x) and 6 into the x in g(x) -- basically, f(-4) = -2((-4)^{3}) - 3 = 125, and g(6) = -2(6) - 1 = -13. there are your answers!

4 0
2 years ago
A sector with a central angle measure of 200 degrees has a radius of 9cm
Helen [10]

Answer:

B) 45\pi cm^{2}

Step-by-step explanation:

A=\frac{\pi r^{2}(central. Angle) }{360} =\frac{\pi (9)^{2}(200) }{360} =\frac{\pi (81)(200)}{360}=45\pi cm^{2}

Hope this helps

3 0
2 years ago
Help please any One who can solve this equation? ☺
malfutka [58]
If y varies directly with x, that means they change at proportion rates. We can define their relationship using a constant k.

y = kx

Plug in what we know to find k.

-3 = 5k

k = -3/5

So:

y = -1 * (-3/5)

y = 3/5
6 0
3 years ago
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