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miskamm [114]
3 years ago
9

Which statement describes the relationship between the line graphs of the equations below? y = −2 x + 4 y = 1/2x + 4 a. The line

graphs are the same line. b. The line graphs are parallel lines. c. The line graphs are perpendicular lines. d. The line graphs intersect, but are not perpendicular.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

Answer:

You can tell from the picture

Step-by-step explanation:

they intercept

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While on a train trip, Marsha noticed that there were 35 people in her train car. After the next stop, there were only 21 people
const2013 [10]

Answer:

40%

Step-by-step explanation:

To find a percent, divide the part by the total and multiply by 100.

To find the part, subtract 21 from 35 to find the people who left.

35 - 21 = 14

(14/35)*100 = p

.4 *100 = p

40 =p

5 0
3 years ago
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an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length
vampirchik [111]

Answer:  15

<u>Step-by-step explanation:</u>

small:     5     12      13

middle:  __   36     39

large:    45   108    117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45    12(9) = 108    13(9) = 117

That is because the sides are proportional \dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}

To get from small to middle, multiply by 3  

5(3) = 15     12(3) = 36    13(3) = 39

To solve it using proportions:

\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x

7 0
3 years ago
An office building has 24 offices on each floor. Each office either face north, south, east, west , and the amount of offices th
yuradex [85]

Answer:

198

Step-by-step explanation:

33 * 24 = 792

792 / 4 = 198

3 0
3 years ago
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
il63 [147K]

Let x be the unknown number. Its square is x^2. The product of 6 and the square of the number is 6x^2. Increase this by 5 and you get 6x^2+5.

If this has to equal 4, you have 6x^2+5=4

4 0
2 years ago
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AURORKA [14]

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

4 0
2 years ago
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