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torisob [31]
3 years ago
11

write each of the following in the form of a x + B Y + C is equal to zero and find the values of a b and c ​

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
4 0

Step-by-step explanation:

(i) 2x = 5

compare with ax+by+c = 0

→ 2x + 0.y - 5 = 0

» a = 2 ,b = 0 ,c = -5

(ii) y - 2 = 0

compare with ax + by + c = 0

→ 0.x + 1y -2 = 0

» a = 0 , b = 1 , c = -2

(iii) y/7 = 3

y = 3×7

y = 21

y - 21 = 0

compare with ax + by + c = 0

→ 0.x + 1y -21 = 0

» a = 0 , b = 1 , c = -21

(iv). x = -14/13

13x = -14

13x + 14 = 0

compare with ax + by + c = 0

→ 13x + 0.y + 14 = 0

» a = 13 , b = 0 , c = 14

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Answer:

y = 2x + 8

Step-by-step explanation:

Find the slope of a line between (-8,-8) and (-9,-10) using m = \frac{y_2-y_1}{x_2-x_1}, which is the change in y over the change in x.

Substitute in the values of x and y into the equation to find slope.

m= \frac{-10-(-8)}{-9(-8)}

Simplify.

Simplify the numerator.

Multiply -1 by -8

m=\frac{-10+8}{-9-(-8)}

Add -10 and 8

m=\frac{-2}{-9-(-8)}

Simplify the denominator.

Multiply -1 by -8

m=\frac{-2}{-9+8}

Add -9 and 8.

m=\frac{-2}{-1}

Divide -2 by -1.

m=2

Using the point slope form y-y_1=m(x-x_1) plug in m = 2, x_1 = -8, y_1 = -8

y-(-8)=(2)(x-(-8))

Solve for y.

Multiply -1 by -8

y + 8 = ( 2 ) ( x − ( − 8 ) )

Simplify  ( 2 ) ( x − ( − 8 ) ) .

Multiply  − 1  by  − 8

y+8 = 2 ( x + 8 )

Apply the distributive property.

y + 8 = 2 x + 2 ⋅ 8

Multiply  2  by  8 .

y + 8 = 2x + 16

Move all terms not containing  y  to the right side of the equation.

Subtract  8  from both sides of the equation.

y = 2 x + 16 − 8

Subtract  8  from  16 .

y = 2 x + 8

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The base of a triangle is 4 cm greater than the
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Answer:

Step-by-step explanation:

Formula for area of a triangle:

Height x Base /2

Base (b) = h +4

Height = h

h + 4 x h /2 = 30cm

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=> 5h = 60

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Base = 12 +4 = 16

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Select the correct answer.
wariber [46]

Answer:

<u>~Senpi boi here~</u>

Step-by-step explanation:

Multiply all terms by x and cancel:

x+2x+1=1x

3x+1=x(Simplify both sides of the equation)

3x+1−x=x−x(Subtract x from both sides)

2x+1=0

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2x=−1

2x

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Check answers. (Plug them in to make sure they work.)

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