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Nikolay [14]
3 years ago
12

A rectangle has a length of 2x 5 units and a width of , 3 units. What is the area, in square

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

2 {x}^{2}  - 11x + 15

Step-by-step explanation:

We we're given the length of the rectangle as

l = 2 {x}  - 5

and the width of the rectangle as :

w = x  - 3

Recall that, the area of a rectangle is

Area=l×w

We substitute the given dimensions of the rectangle into the formula to get:

area =( 2 {x}  - {5} ) \times(x  -   3)

We expand

2 {x}^{2}  - 6x - 5x + 15

This simplifies to:

2 {x}^{2}  - 11x + 15

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Slope intercept of (2,-12) and (5,6)
nlexa [21]

Answer:

<em>The slope of the line is m=6.  </em>

<em>The y-intercept is (0,−24).  </em>

<em>The equation of the line in the slope-intercept form is y=6x−24.</em>

Step-by-step explanation:

The slope of the line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=2, y1=−12, x2=5, y2=6.

Plug the given values into the formula for the slope: m=(6)−(−12)(5)−(2)=183=6.

Now, the y-intercept is b=y1−m⋅x1 (or b=y2−m⋅x2, the result is the same).

b=−12−(6)⋅(2)=−24.

Finally, the equation of the line can be written in the form y=mx+b.

y=6x−24.

Answer:

The slope of the line is m=6.

The y-intercept is (0,−24).

The equation of the line in the slope-intercept form is y=6x−24.

8 0
3 years ago
Read 2 more answers
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