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3 years ago

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

Mathematics

1 answer:

MrMuchimi3 years ago

8 0

Answer:

3x+y=-31

Step-by-step explanation:

$4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}$

Slope of perpendicular line is -3.

$y=-3x+b$

Sub in the point (10, -1)

$-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31$

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If 7x + 3 = 24, what is the value of 5 - 4x?

Iteru [2.4K]

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

3 0

2 years ago

How much water must be evaporated from 130 gallons of a 9% acid solution to make a 12% acid solution?

Bad White [126]

Answer: 33 gallons

Step-by-step explanation:

We initially have 130 gallons of a $9\%$ acid solution and we need to change it to a $12\%$ acid solution, and for that it is necessary to evaporate $n$ gallons of water.

So, this situation can be mathemtically expressed as follows:

$(130)(9\%)=(130-n)(12\%)$

Then:

$(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})$

Isolating $n$ :

$11.7=15.6-0.12 n$

$n=32.5 \approx 33$

Hence, we need to evaporate 33 gallons of water.

6 0

3 years ago

Choose the correct proportions.

ozzi

Answer:

Step-by-step explanation:

We know that the only possibilities with proportionate answers are 6:7 = 12:14, or 7:6 = 14:12. Only 6:7 = 12:14 is an answer choice. Both the numbers in the first pair times two equal the second pair.

6 0

3 years ago

PLEASE HELP IMAGE ATACHED

rodikova [14]

What kind of problems or what are you trying to ask?

8 0

2 years ago

Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 ye

ehidna [41]

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+ $\frac{r}{n}$ $)^{nt}$ where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.

Applying the formula to question:

800(1+ $\frac{2.88}{100}$ $)^{16}$ = 1260.04 (rounded off to nearest cent since it's money)

5 0

3 years ago