Q 12 inches P 0 What is the length of P'Q'? inches

Mathematics

1 answer:

Westkost [7]2 years ago

6 0

Answer:

it would be 12 inches because you add them

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Point A has coordinates (-5, 3). If point (1,6) is

gtnhenbr [62]

Answer:

$(3, 7)$

Step-by-step explanation:

(4/3)P -(4/3)A + A = B . . . . . . add A

(4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

B = (3, 7)

8 0

2 years ago

Solve 2x+3y=2<br> 5x-y=-29<br> By elimination

Andreyy89

Answer:

$\huge\boxed{x=-5,\ y=4\to(-5,\ 4)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+3y=2\\5x-y=-29&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=2\\15x-3y=-87\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad17x=-85\qquad\text{divide both sides by 17}\\.\qquad\dfrac{17x}{17}=\dfrac{-85}{17}\\.\qquad\boxed{x=-5}\\\\\text{Substitute it to the second equation:}\\\\5(-5)-y=-29\\\\-25-y=-29\qquad\text{add 25 to both sides}\\\\-25+25-y=-29+25\\\\-y=-4\qquad\text{change the signs}\\\\\boxed{y=4}$