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STALIN [3.7K]
3 years ago
10

What is the slope of a line that is perpendicular to the line 2y - 3x = 87​

Mathematics
1 answer:
lilavasa [31]3 years ago
5 0

Answer:

-2/3

Step-by-step explanation:

We need to put in slope intercept form..

Once we identify the slope of the line given, we can find the slope of the perpendicular line which is the opposite reciprocal of the slope for the given equation:

Let's do this:

2y-3x=86

add 3x on both sides to get 2y by itself

2y=3x+86

divide both sides by 2

y=3/2 x+43

So the slope is 3/2

The opposite reciprocal of 3/2 is -2/3 .

The answer is -2/3

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6 0
3 years ago
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Tammy must run more than 67 miles total to reach her fitness goals. She has already run 35 miles and runs 4 miles per day, Which
zhuklara [117]

Answer:

35 + 4x > 67

To reach her fitness goal, she needs to run for more than 8 days.

Step-by-step explanation:

She has already run 35 miles and runs 4 miles per day:

This means that after x days, the distance she will have run is:

D(x) = 35 + 4x

Tammy must run more than 67 miles total to reach her fitness goals.

This means that:

D(x) > 67

35 + 4x > 67

The inequality is:

35 + 4x > 67

Solution:

4x > 32

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To reach her fitness goal, she needs to run for more than 8 days.

7 0
3 years ago
Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure
rosijanka [135]

Answer:

x = 45, y = 5

Step-by-step explanation:

It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,

2x + 20y - 10 =90

2x+20y = 100

x + 10y = 50

And

2x = 20y-10

x = 10y -5

x - 10 y = -5

Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:

x + 10y =50

x - 10y = -5

------------------

x = 45

Therefore, the value of y after substitution of the value of x in one of the equations will be:

90 = 20y - 10

20 y = 100

y = 5

Hence, the required value of x and y are 45 and 5 respectively.

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3 years ago
Solve the variable in the following proportion. 3.6/y=1.2/2
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Hello : 
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y=6</span>
7 0
3 years ago
HELP! WILL GIVE BRANLIEST!
mars1129 [50]

Answer:

D

Step-by-step explanation:

This is your answer because first you have 3x10-6 and 2x1030 what you have to do is that first you multiply 3 x 2 equals to 6 then, 10 x 1 = 10 then you have to multiply 30 x 6 = 180 then you put it together and your answer is 6x10-180

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3 years ago
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