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pickupchik [31]
3 years ago
13

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y = 3/4x -9; (-8,

18)
Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

Answer: y=-4/3x+22/3

Step-by-step explanation:

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line

y=-4/3x+b

if you put in the x and y values

18=-4/3*-8+b

18-32/3=b

b=22/3

y=-4/3x+22/3

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A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of
storchak [24]

Answer:

y = -\dfrac{1}{28}x + 15

Step-by-step explanation:

The car uses 15 gallons of gasoline to drive 420 miles.

(15 gal)/(420 mi) = 1/28 gal/mi

The car uses 1/28 gallon of gasoline per mile.

y = mx + b

When x = 0, at the start of the drive, the car has 15 gallons of gasoline.

y = mx + 15

Then for every mile it travels, the amount  of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.

y = -\dfrac{1}{28}x + 15

5 0
3 years ago
Which souvenirs cost less than $2.25 per item?
strojnjashka [21]
Hello! To find the answer to these problems, we need to divide the price by the quantity bought. For example, if you buy 4 erasers for $2, you would do 2/4 to find the cost per eraser. When you divide all of the items correct, these are the unit prices you get:

tote bags: $1.96
picture frames: $2.15
water bottles: $2.30
mugs: $1.99
t-shirts: $2.50

Okay. So we are looking for the souvenirs that cost less than $2.25. 1.96, 2.15, and 1.99 are all less than 2.25, while 2.3 and 2.5 are more than 2.25. Therefore, tote bags, picture frames, and mugs are the souvenirs that cost less than $2.25.
7 0
4 years ago
Read 2 more answers
Bart, Lisa, and Maggle are pooling their money to buy a snack from the comer store. Bart has
zaharov [31]

Answer:

Subtract $4.60 from 0.05

Step-by-step explanation:

8 0
3 years ago
P/q + pq p=8 q=6 helppp!!!
const2013 [10]
The Answers is 15 if you look it up you will get<span> Answers.</span> 
5 0
4 years ago
What is the GCF of 5 10 and 30
Greeley [361]

Answer:

5

Step-by-step explanation:

5 because it can only go into itself one time, 5 x 2 is 10 and 5 x 6 is 30

7 0
3 years ago
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