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steposvetlana [31]
3 years ago
9

What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)?

Mathematics
1 answer:
seropon [69]3 years ago
5 0
To express the equation in a point-slope form, obtain first the slope of the line between the points. The slope, m, of this line is,

                                  (y2 - y1)/(x2 - x1) = (8 - 0)/(2--2) = 2

The point-slope form of the line is generally expressed as

                                         y - y2 = m (x - x2)

Thus, in this given the point-slope form is, 

                                           y - 8 = 2 (x - 2)

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8 0
3 years ago
A rectangle with an area of 5/8 ft² is dilated by a factor of 8. What is the area of the dilated rectangle?
gulaghasi [49]

Answer:

40 ft²

Step-by-step explanation:

Let the length of the original rectangle be L and original Breadth be B

it is given that the original area  is 5/8 ft²

i.e.

Original Length x Original Breadth = Original Area, or,

LB = 5/8 ft² ------------------(1)

Given that the dilation factor is 8,

Hence,

New Length = 8L and New Breadth = 8B

THerefore,

New Area = 8L x 8B

= 64 LB  (from (1) above , we know that LB = 5/8 ft², substitute into expression)

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4 0
4 years ago
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?​
seropon [69]

Answer:

The integers are (x, y) = (40, 8).

Step-by-step explanation:

x = 5y

xy = 320

Substitute the first equation into the second equation.

(5y)(y) = 320

5y^2 = 320

y^2 = 64

y = 8 (y must be positive)

The integers are (x, y) = (40, 8).

6 0
3 years ago
I need help! Math question
iren2701 [21]
Again, a spreadsheet or suitable calculator makes this short work.

The sum is 184.

_____
The terms being summed are ...
  2·3² +3 = 2·9 +3 = 18 +3 = 21
  2·4² +3 = 35
  2·5² +3 = 53
  2·6² +3 = 75
Their total is
  21 +35 +53 +75 = 184

8 0
3 years ago
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