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dusya [7]
3 years ago
11

2) Prove that these two lines are parallel:

Mathematics
1 answer:
borishaifa [10]3 years ago
3 0

Answer:

if the two lines have the same slope that means they are parallel

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Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' loca
V125BC [204]

Answer:

Option A

Step-by-step explanation:

We are given that

Scale factor=2

Center of dilation=(0,0)

Point A(0,2) and point B (2,0).

Slope of line f=\frac{y_2-y_1}{x_2-x_1}

Substitute the values

Slope of line f=\frac{0-2}{2-0}=-1

Distance between  A and Origin (0,0) is given by

OA=\sqrt{(0-0)^2+(0-2)^2}=2 units

Using distance formula

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

OB=\sqrt{(0-2)^2+(0-0)^2}=2 units

Length of OA'=2OA=2(2)=4 units

Length of OB'=2(OB)=2(2)=4 units

x-intercept of line f' at x=4

y-intercept of line f' at y=4

Therefore, the points A' and B' are given by

(0,4) and (4,0)

Slope of line f'=\frac{0-4}{4-0}=-1

Slope of line f and f' are equal.Therefore, lines f and f' are parallel.

Option A is true.

4 0
3 years ago
If your brother is 12 years old and you are 10 years old. How old will you have to be to be half your brother's age?
vivado [14]
6 years old because 12 divided by 2 is 6

4 0
3 years ago
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Which is greater, 3/4 or 10/12?
RUDIKE [14]

Answer:

10/12

Step-by-step explanation:

3/4=9/12

(3*3 and 4*3)

and 9/12<10/12

6 0
2 years ago
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6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?​
Georgia [21]

Answer:

1200

Step-by-step explanation:

We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.

In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

7 0
2 years ago
A study of a population of 600 turtles revealed that 6 out of 90 turtles in the
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560 turtles don’t have spots on their backs
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