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3 years ago

14

Kinda need help anything helps

1 answer:

katovenus [111]3 years ago

6 0

First you have to find the slope with the equation y2 - y1 / x2 - x1 , then once you have found the slope (slope = -2) you simply plug it into the point slope formula. y-0 = -2(x-5) solving it algebraically you should arrive at Y=-2x+10. (the 5 and 0 were plugged in are two of the X and Y points of the line which is why we plugged them into the X and Y values of the equation)

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3 years ago

Lindsie is painting on a canvas with dimensions of 3 ft by 4 ft. She wants to make a display model for a gallery that has twice

love history [14]

Answer:

B. 1.4 feet

Step-by-step explanation:

Let, the amount of increase be 'x' ft.

Since, the length and width of the canvas are 4 ft and 3 ft respectively.

Thus, area of the canvas, $A_{c}$ = length × breadth = 4 × 3 = 12 ft²

Since, the area of display model is twice the area of the canvas. We have,

$A_{d}$ = 2 × $A_{c}$

i.e. $A_{d}$ = 2 × 12

i.e. $A_{d}$ = 24 ft².

As, the length and width of the canvas are increased by 'x'.

The, length and width of the display model are (x+4) ft and (x+3) ft.

So, we get,

$A_{c}$ = length × breadth = (x+4) × (x+3) = $x^{2} +7x+12$

Since, $A_{d}$ = 24 ft²

i.e. $x^{2} +7x+12$ = 24

i.e. $x^{2} +7x-12=0$

Solving the quadratic equation, we get,

i.e. x = -8.4 and x= 1.4

Since, the value of x cannot be negative.

Thus, x = 1.4 feet.

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3 years ago