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2 years ago

Slope= 9; intercept= 2

Mathematics

2 answers:

Lostsunrise [7]2 years ago

7 0

Answer:

Step-by-step explanation:

The equation of a line with slope m and y-intercept b is

y = mx + b

If you were asked to write the equation of the line with slope = 9 and y-intercept = 2, then the equation is

y = 9x + 2

saveliy_v [14]2 years ago

7 0

Answer:

y = 9x -2

Step-by-step explanation:

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$\text{Given:}\\\\AB=3x-4\\AC=2x+12\\BC=7x-2\\AB:AC=1:2\Rightarrow(3x-4):(2x+12)=1:2\\\\\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\qquad\text{cross multiply}\\\\(3x-4)(2)=(2x+12)(1)\qquad\text{use the distributive property}\\\\(3x)(2)+(-4)(2)=2x+12\\\\6x-8=2x+12\qquad\text{add 8 to both sides}\\\\6x-8+8=2x+12+8\\\\6x=2x+20\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\6x-2x=2x-2x+20\\\\4x=20\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{20}{4}\\\\x=5$

$\text{Put the value of}\ x\ \text{to}\ AC\ \text{and}\ BC:\\\\AC=2(5)+12=10+12=22\\\\BC=7(5)-2=35-2=33\\\\AC:BC=22:33=\dfrac{22}{33}=\dfrac{22:11}{33:11}=\dfrac{2}{3}=2:3$

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2 years ago

Find the coordinates of the midpoint HX. H (5 1/2, -4 3/4), X (2 1/4, 1 1/4)

Fiesta28 [93]

Answer:

(3 7/8, -1 3/4)

Step-by-step explanation:

The midpoint is the average of the end point coordinates:

((5 1/2, -4 3/4) +(2 1/4, 1 1/4))/2

= (7 3/4, -3 1/2)/2 = (3 7/8, -1 3/4)

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