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kumpel [21]
3 years ago
14

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

Mathematics
1 answer:
mario62 [17]3 years ago
8 0
The line passes through (2,-3) and (4,2).

Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2

The equation of the line is therefore
\frac{y-2}{x-4} = \frac{5}{2}

Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16

Answer: C. 5x - 2y = 16

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Help!
nignag [31]

1) 8 + 4 = -5 + 7

     12   =    2

        FALSE

2) y = -11x + 4

(0, -7):   -7 = -11(0) + 4   ⇒   -7 = 0 + 4   ⇒   -7 = 4   False

(-1, -7):  -7 = -11(-1) + 4   ⇒   -7 = 11 + 4   ⇒   -7 = 15   False

(1, -7):  -7 = -11(1) + 4   ⇒   -7 = -11 + 4   ⇒   -7 = -7   True

(2, 26): 26 = -11(2) + 4   ⇒   26 = -22 + 4   ⇒   26 = -18   False

Answer: C

3) Input       Output

     0                0

  <u>   1    </u>             3            

    2             <u>    6  </u>

    3                 9

 <u>   4    </u>          <u>  12   </u>

    5                 15

    6              <u>   18  </u>

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

   \frac{2x}{2} = \frac{-6}{2}

    x = -3

6) 8j - 5 + j = 67

        9j - 5 = 67   <em>added like terms (8j + j)</em>

       <u>      +5</u>   <u>+5 </u>

        9j      = 72

       \frac{9j}{9} = \frac{72}{9}

        j      = 8

7) y = mx + b

<u>   -b</u>    <u>      -b  </u>

y - b = mx

\frac{y - b}{x} = \frac{mx}{x}

\frac{y - b}{x} = m

5 0
3 years ago
According to the scale on a road map, 3 cm represents 45 kilometers. if two cities measure 10 cm apart on the map, how many kilo
denpristay [2]
150 Km.

Good luck! :)

4 0
3 years ago
The perimeter of a rectangle is 50 feet and its area is 154 feet. What are the dimensions of the
sasho [114]
14 and 11 are it dimensions

Hope this helps!
3 0
3 years ago
A 24,000-gallon pool is being filled at a rate of 50 gallons per minute. At this rate, how many minutes will it take to fill thi
ser-zykov [4K]

Answer:

192 minutes

Step-by-step explanation:

24,000 times .4 = 9600

9600 / 50 = 192

4 0
2 years ago
Please solve the following questions!!
alexandr402 [8]

Answer:

3. The missing angle is 56°

4. x = 7

Step-by-step explanation:

3.

We know sum of 3 angles in a triangle is 180°.

Looking at the top triangle, we can figure out the third angle. Let third angle be x:

85 + 35 + x = 180

120 + x = 180

x = 180 - 120

x = 60

<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>

So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:

60 + 64 + y = 180

124 + y = 180

y = 180 - 124

y= 56

This is the missing angle.

4.

10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.

Thus we can write the equation:

(10x-5) =  (8x+9)

10x-8x=9+5

2x=14

x=14/2

x=7

So x = 7

5 0
3 years ago
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