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Iteru [2.4K]
3 years ago
6

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
8 0

Given:

The slope of a line is -\dfrac{3}{4}.

To find:

The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.

Solution:

We know that the slopes of parallel lines are equal.

The slope of line Q and the slope of given line are same, i.e., -\dfrac{3}{4}. So, the line Q is parallel to the given line.

The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.

The slope of a line is -\dfrac{3}{4}. It means the slope of the perpendicular line must be \dfrac{4}{3}. So, the line N is perpendicular to the given line.

The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.

Therefore, the lines M and P are neither parallel nor perpendicular.

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The area of a rectangle is 168 square feet. The ratio of the width to the length is
nlexa [21]

Answer:

Width = 12 feet

Step-by-step explanation:

Given that,

Area of a rectangle is 168 square feet.

The ratio of the width to the length is  6:7.

Let the length is 7x and width is 6x.

According to question,

Area = 168 sq feet

l×b=168 sq feet

7x × 6x = 168

42x² = 168

x² = 4

x = 2

Length = 7x = 7(2) = 14 feet

Breadth = 6x = 6(2) = 12 feet

So, the width of the rectangle us 12 feet.

5 0
3 years ago
With work attached please
sasho [114]

Answer:

45

Step-by-step explanation:

You already solved that the 2 angles of the triangle are 55° and since all of the angles are on a straight line, they add up to 180°

and the equation becomes...

3x-10+55=180

3x+45=180

Subtract 45 from both sides

3x=135

Divide by 3

x= 45

Then to double check you plug 45 as the value of x in.

3(45)-10+55=180

135-10+55=180

125+55=180

180=180

7 0
3 years ago
If x equals a real number, x^0 equals what?
Stels [109]

Hey there!

x^0

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

x^0=1

Hope this helps!

AT2309

8 0
3 years ago
the formula F=9/5C+32 changes a temperature reading from the Celsius scale C to the Fehrenheit scale F. What temperature measure
cestrela7 [59]

Answer:

23

Step-by-step explanation:

F=(9/5)c + 32

F=(9/5)(-5) + 32

F=(-9) + 32

F=23

6 0
3 years ago
Marley had $495.66 in her bank account after she paid her monthly bills. She took her sister out to lunch, and paid $38.90. How
SOVA2 [1]

Answer: the answer is $456.76

Step-by-step explanation: All you have to do is subtract 38.90 from 495.66 and get your answer

5 0
2 years ago
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