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3 years ago

Determine wether the lines given are parallel, perpendicular or neither

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

6 0

Answer:

perpendicular

Step-by-step explanation:

Monica [59]3 years ago

5 0

Answer:

Neither

Step-by-step explanation:

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect. So if the slopes have reciprocals, they are perpendicular. Otherwise, they are neither.

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Point Q' is the image of Q(-4, 7) under a translation by 4 units to the right and 2 units down.

Reil [10]

Answer:

Q' ( 0,5)

Step-by-step explanation:

Q(-4, 7)

To shift to the right, add the amount to x

x+4

To shift down, subtract from y

y -2

Q' ( -4+4, 7-2)

Q' ( 0,5)

3 0

3 years ago

Solve the problem 3g+7g+8=-10+g

Vinil7 [7]

First simplify like terms (things with the same letter):

3g + 7g + 8 = -10 + g

10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

Next divide both sides by 9 to find the value of g:

g = -2

3 0

3 years ago

Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the origin

RSB [31]

Answer:

6 × 8

Step-by-step explanation:

Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller. Smaller by a factor of 4.

So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:

(24/4) x (32/4) = 6 x 8

It couldn't be the first answer choice (3x8) because that doesn't maintain the ratio of the enlarge picture. The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.

3 0

3 years ago

Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3

Aleksandr [31]

Answer:

(a)The percentage of hatchbacks that run on gasoline.=78%

(b) The percentage of diesel vehicles that are hatchbacks.=21%

(c)The percentage of SUVs that run on gasoline=30%

(d)The percentage of gasoline vehicles that are sedans=42%

(e)The percentage of sedans that run on diesel =44%

(f)The percentage of gasoline vehicles that SUVs.=8%

Step-by-step explanation:

This table gives information about vehicles sold at a dealership in a month.

------------------Gasoline-------Diesel

Hatchback------18---------------5

Sedan------------15---------------12

SUV----------------3----------------7

(a)The percentage of hatchbacks that run on gasoline.

Total Number of Hatchbacks=23

Number that run on Gasoline=18

Percentage that run on gasoline=(17/23)X100=78%

(b) The percentage of diesel vehicles that are hatchbacks.

Total Number of Diesel Vehicles=5+12+7=24

Number of Diesel Hatchbacks=5

Percentage of diesel vehicles that are hatchbacks=(5÷24)X100=21%

(c)The percentage of SUVs that run on gasoline

Total Number of SUVs=10

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷10)X100=30%

(d)The percentage of gasoline vehicles that are sedans.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline sedans=15

Percentage of Sedans that run on gasoline=(15÷36)X100=42%

(e)The percentage of sedans that run on diesel

Total Number of Sedans=15+12=27

Number of Diesel Sedans=12

Percentage of sedan that run on diesel=(12÷27)X100=44%

(f)The percentage of gasoline vehicles that SUVs.

Total Number of Gasoline Vehicles=18+15+3=36

Number of Gasoline SUVs=3

Percentage of SUVs that run on gasoline=(3÷36)X100=8%

4 0

3 years ago

HELP

Westkost [7]

Answer:

see below

Step-by-step explanation:

The exponent rules that apply are ...

(a^b)(a^c) = a^(b+c)

a^-b = (1/a)^b

(a^b)^c = a^(b·c)

_____

These let you rewrite the given function as ...

f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x

and

f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)

5 0

3 years ago