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kupik [55]
1 year ago
9

Solve for x. The number that is cut off is 14. Suppose that both figures are similar.

Mathematics
1 answer:
Mekhanik [1.2K]1 year ago
5 0

Since both rectangles are similar, the following ratio must be fulfilled:

\frac{x+9}{14}=\frac{9}{6}

By multiplying both sides by 14, we get

\begin{gathered} x+9=\frac{9\times14}{6} \\ x+9=21 \end{gathered}

and by subtracting 9 to both sides, we have

x=12

Therefore, the answer is 12.

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Step-by-step explanation:

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(-4, -2); y = - 2x + 4
padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation  y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is  y = -2x - 10.

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Step-by-step explanation:

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