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Lemur [1.5K]
3 years ago
7

Write an equation in standard form for a line that goes through the points(5,1) and (7,-3).

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Answer:

Equation of line =

y = -2x + 11

Step-by-step explanation:

Using the formula for equation of a line with two points

(y_2 - y_1) / (x_2 - x_1) = (y - y_1) / (x - x_1)

Using the points we are provided with

( 5,1)(7,-3)

x_1 = 5

y_1 = 1

x_2 = 7

y_2 = -3

Inserting those values

( -3 - 1) / (7 - 5) = (y - 1) / (x - 5)

-4/2 = (y - 1) / (x - 5)

Cross multiply

-4(x - 5) = 2 ( y - 1)

Open the brackets

-4x + 20 = 2y - 2

-4x +20 +2 = 2y

-4x + 22 = 2y

Divide through by 2 to get the value of y following the rules

y = mx + C

-4x + 22 = 2y

-4x + 22 / 2 = 2y/2

-4x + 22 / 2 = y

We can still separate

-4x / 2 + 22/ 2 = y

-2x + 11 = y

y = -2x + 11

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A 152 cm tall barrel has a circumference of 56.52.
kirill [66]

Answer:

V = 38659.68 cm^3

Step-by-step explanation:

If we pretend A barrel is a cylinder we use V=πr^2h for the volume.  We know h, but we need to find r

The question tells us the circumference, well how do we find circumference? C = 2πr, so we can use this to find r.

C = 2πr

56.52 = 2 * 3.14 * r Here divide both sides by 2*3.14

56.52/(2*3.14) = r

9 cm = r

Now we can just plug into the volume.

V=πr^2h

V = 3.14 * 9^2 * 152

V = 38659.68 cm^3

I feel I should mention this is all true if the circumference is in centimeters, since the question didn't specify.  

6 0
3 years ago
a man wanted to paint a cylinder gas tank. What amount of surface area will need to be covered if it had a radius of 14 inches a
Over [174]

Answer:

224

Step-by-step explanation:

  1. in a cylinder  the  only sides that would actually count is the top and bottom
  2. you would multiply the top and bottom.
  3. 14 x 16 = 224
  4. if I'm wrong let me know
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3 years ago
HELP ASAP (math)(6th grade)
nlexa [21]
Answer: D 3/8,2/3,19/24
5 0
3 years ago
Which expression is equivalent to absolute value of 8 + absolute value of -7
anzhelika [568]

Answer:

8+7

Step-by-step explanation:

Absolute value is when you calculate how far away the number is from zero.

Since 8 is 8 spaces away from zero, then the absolute value of 8 is 8.

Since -7 is 7 spaces away from zero, then the absolute value of -7 is 7.

So, in conclusion, an equivalent expression can be 8+7

4 0
3 years ago
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Illusion [34]

Answer:

A princess is stuck at the top of a tower that is 20 ft tall. To get down she shoots an arrow with rope attached into the ground and it lands 15 ft away from the tower. how long is the rope to safely guide her onto the ground.

Step-by-step explanation:

using the Pythagorean theory which is a squared plus b squared equals c squared you will see that 20 squared plus 15 squared will equal 625. Once you have that answer you find the square root of 625 which will give you your overall answer of 25.

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3 years ago
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