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3 years ago

Fone the slope of a line that is perpendicular x = -12

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

m [slope] = 1/12

Step-by-step explanation:

If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.

An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.

Therefore, if m is -12 it's opposite reciprocal is -1/-12 = 1/12.

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A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which graph has a slope that best repr

mojhsa [17]

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x ---> ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

$ratio=\frac{y}{x}$

substitute the given values

$ratio=\frac{30}{18}$

simplify

$ratio=\frac{5}{3}=1.67$

Verify each graph

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

$ratio=\frac{5}{3}$

that means

5 ounces of orange juice per 3 ounces of pineapple juice

Graph F

The slope is

$m=\frac{4}{6}=\frac{2}{3}=0.67$

Graph G

The slope is

$m=\frac{4}{2}=\frac{2}{1}=2$

Graph H

The slope is

$m=\frac{70}{6}=\frac{35}{3}=11.67$

Graph J

The slope is

$m=\frac{12}{10}=\frac{6}{5}=1.2$

The value of 2 is the value closest to 1.67

therefore

The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G

7 0

3 years ago

Y'all I need help asap

worty [1.4K]

Answer:

Let's solve for x.

4x+5y=7

Step 1: Add -5y to both sides.

4x+5y+−5y=7+−5y

4x=−5y+7

Step 2: Divide both sides by 4.

4x/4=−5y+7/4

x=−5/4 y+ 7/4

Answer: for the first one x=−5/4 y+ 7/4

3x−2y=−12

Step 1: Add 2y to both sides.

3x−2y+2y=−12+2y

3x=2y−12

Step 2: Divide both sides by 3.

3x/3=2y−12/3

x=2/3y−4

Answer:

x=2/3y−4

Step-by-step explanation:

4 0

3 years ago

If the temperature is -17° F at 8 am, and 23°F at noon, how much did the temperature rise?

dedylja [7]

17 + 23 = 40

The temperature rose 40 degrees.

3 0

3 years ago

Read 2 more answers

Suppose a car going 65 mph is traveling north parallel to a train going 50 mph. Once the front of the car is as far north as the

scoray [572]

Answer:

0.75 Miles

Step-by-step explanation:

To find the answer we have to find the difference in the distance the train and car travelled

65/60 is 1.083333 which is miles per minute then multiplied by 3 is 3.25 mile gone in 3 minutes

For the train it is 50/60 which is 0.833333 and the times 3 is 2.5 miles in three minutes

3.25 miles minus 2.5 miles is 0.75 miles so that is how long the train is

6 0

2 years ago

Among 400 randomly selected drivers in the 16 minus 18 age bracket, 293 were in a car crash in the last year. If a driver in th

professor190 [17]

Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

$p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325$

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a year.

As this value is high, there is reasons to be concerned about it.

4 0

3 years ago