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4 years ago

A line goes through the points (8,9) and (-2,4).

Mathematics

1 answer:

vazorg [7]4 years ago

8 0

<h3>Answer:</h3>

slope = 1/2
equation: y = 1/2x +5

<h3>Step-by-step explanation:</h3>

Slope

The slope of the line between two points (x1, y1) and (x2, y2) is ...

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

For your given points, the slope is

... m = (4 -9)/(-2 -8) = -5/-10

... m = 1/2

Equation

The point-slope form of the equation for a line can be written ...

... y = m(x -h) +k . . . . for a line of slope m through point (h, k)

Using the first point given and the slope just calculated, the equation for the line can be written ...

... y = (1/2)(x -8) +9

... y = (1/2)x -4 +9 . . . . eliminate parentheses; next, collect terms

... y = 1/2x +5

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How many quarters are thee in 4 1/2

Neko [114]

Hi there!

quarter:18

1.Find common denominator in 4 and 1/2:

$4=\frac{1}{4}$

$\frac{1}{2}=\frac{2}{4}$

2.Convert 4 2/4 into mixed number:

$4\frac{2}{4}=\frac{18}{4}$

3.Divide 18/4 by 1/4:

$\frac{18}{4}*\frac{1}{4}=18$

Therefore, there is 18 quarters in 4 1/2.

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3 years ago

Abed says he has written a system of two linear equations that has an infinite number of solutions. One of the equations of the

LenKa [72]

Answer:

3x - y = 1

Step-by-step explanation:

This will be the same equation written in a different way'

The original equation is:

y = 3x - 1

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3x - y = 1.

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3 years ago

The fractions 3/4,6/8 ,9/12 , and 12/16 are examples of _____.

g100num [7]

Answer:

Equivalent fractions

Step-by-step explanation:

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3 years ago

Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )

damaskus [11]

A = π(r²) --- r is radius

C = πd --- d is diameter

First, the circumference must be found. If the circumference is 15.7, plug it in.

15.7 = πd

We know what pi is.

15.7 = 3.14 (d)

Now, simply divide 3.14 by 15.7 to find the diameter (d). You get 5. Since the radius is half of the diameter, the radius is 2.5. Plug this into the area formula, and plug pi in, too.

A = 3.14(2.5²)

2.5 to the second power is 6.25.

A = 3.14(6.25)

Tada! Multiply, and you're left with 19.625!

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3 years ago

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PLS HELP! 0.99 is what percent of 9.90?

Leno4ka [110]

Answer:

10%

Step-by-step explanation:

first let's write out the problem

0.99 is what percent of 9.90 = 0.99=9.90*x

We need to what c is so we would do the opposite operation of multiplication, division so we get,

0.99/9.90= .1

now we turn .1 into percent and get out answer

0.1= 10%

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3 years ago

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