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3 years ago

Write the equation of the line fully simplified slope-intercept form

Mathematics

1 answer:

bagirrra123 [75]3 years ago

7 0

Answer:

y = - 5x + 6

Step-by-step explanation:

m = $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ (slope of a line)

y = mx + b (slope - intercept form) , "b" is y-intercept (0, b)

(2, - 4)

(1, 1)

m = $\frac{-4-1}{2-1}$ = - 5

y-intercept is 6

y = - 5x + 6

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Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangl

Whitepunk [10]

Answer:

24 meters is the width of the original rectangle.

Step-by-step explanation:

Given:

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.

Now, to get the width of original rectangle.

The reduced rectangle's perimeter = 30 meters.

The reduced rectangle's length = 9 meters.

Now, we find the width of reduced rectangle by using formula:

Let the width of reduced rectangle be $x.$

$Perimeter=2\times length+2\times width$

$30=2\times 9+2\times x$

$30=18+2x$

Subtracting both sides by 18 we get:

$12=2x$

Dividing both sides by 2 we get:

$6=x\\\\x=6\ meters.$

The width of reduced rectangle = 6 meters.

Now, to get the width of original rectangle:

Let the width of original rectangle be $w.$

As given, the perimeter of the original rectangle = 120 meters.

And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.

So, 30 is equivalent to 6.

Thus, 120 is equivalent to $w.$

Now, to get the width using cross multiplication method:

$\frac{30}{6}=\frac{120}{w}$

By cross multiplying we get:

$30w=720$

Dividing both sides by 30 we get:

$w=24\ meters.$

The width of original rectangle = 24 meters.

Therefore, 24 meters is the width of the original rectangle.

6 0

3 years ago

Read 2 more answers

The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of th

natita [175]

Answer:

Step-by-step explanation:

Translation right or left means change of the x-coordinate.

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means subtracting.

$A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)$