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Sergio039 [100]
3 years ago
7

Write an equation in slope-intercept form for points through (2, -7), parallel to 7x - 4y = 18

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0
Y=18-7x/-4 
gradient = 7/4
parallel lines, same gradient.
y--7=7/4(x-2)
y=7x-14-28/4
y= (7x + 14)/4
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We are interested in the dimensions of a certain square a rectangle had length triple the side of this square and width two unit
Sphinxa [80]

Let s be the side length of the square. The dimensions of the rectangle are three times the side of the square (i.e. 3s), and two less than the side of the square (i.e. s-2).

So, the area of this rectangle is

3s(s-2)=3s^2-6s

The area of the square is s^2, and we know that the two areas are the same, so we have

3s^2-6s=s^2 \iff 2s^2-6s=0 \iff 2s(s-3)=0 \iff s=0 \lor s=3

The solution s=0 would lead to the extreme case where the rectangle and the square are actually a point, so we accept the solution s=3.

3 0
2 years ago
The length and breath of a rectangle are (a^2 +ab +b^2) units and (a-b) units.Find the area of the rectangle.
pshichka [43]

Answer:

a^3 - b^3.

Step-by-step explanation:

Area = length * breadth

= (a - b)(a^2 + ab + b^2)

= a(a^2 + ab + b^2) - b(a^2 + ab + b^2)

= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3

Note: the 4 middle terms cancel out. So the answer is

a^3 - b^3.

4 0
3 years ago
Makeeya only has $25 to spend on a custom T-shirt. It costs $10 for a plain T-shirt, and there is a charge of $$1.50 for each sq
kodGreya [7K]

Answer:

10 square inches

Step-by-step explanation:

cost of a plain t-shirt = $10

cost of 1 square inch of design addition = $1.50

let there be x square inches of design

then cost of x square inches of design = x*cost of 1 square inch of design

                                                                 = 1.50*x = 1.5x

Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design   = 10 + 1.5 x

It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only

Thus,

10 + 1.5 x = 25

=> 1.5x = 25-10 = 15

=> x = 15/1.5 = 10

Thus, Makeeya can  put 10 square inches of design on her T-shirt.

4 0
3 years ago
1. Order from smallest to largest:
Mademuasel [1]

Answer:

book, bread, penny, bills

Step-by-step explanation:

It takes the least amount of books to reach 1ft, then bread, penny, lastly bills

5 0
2 years ago
a bookshelf is 17 inches wide. there is enough room for 2 trophies. one trophy is 5 inches wider than the other. how wide is eac
kicyunya [14]
We need to compute for the length of each trophy given that one trophy is 5 inches wider than the other.
Let x be the length of the first trophy.
Let x+5 be the length of the second trophy
The solution is shown below:
x + (x + 5) = 17
x + x + 5 =17
2x =17 -5
2x = 12
x = 12/2
x=6 (for the first trophy)
x + 5 = 6+5 = 11 (for the second trophy)

The first trophy is 6 inches wide while the second trophy is 11 inches wide.
7 0
3 years ago
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