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andrey2020 [161]
3 years ago
8

Write an equation in slope-intercept form that has m = 5/4 through (-4,-3)

Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

y=5/4x + 2

Step-by-step explanation:

Ok so in the point (-4,-3) -4 is x and -3 is y. Now, since you have the slope, 5/4, you can put it into an equation. -3= 5/4(-4) + b. When you multiply 5/4 x -4 you get -3=-5 + b so then add 5 to both sides to get rid of it and you have 2=b. And your equation would be y=5/4x + 2

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Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?
Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5

Multiplying both sides by 100 we get:

5x+6(6000-x)=33750

5x+36000-6x=33750

Subtracting both sides by 36000 we get:

-x=-2250

\therefore x=2250

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0
3 years ago
Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)
Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, a^{2}+b^{2}=c^{2}, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

2^{2}+5^{2}=c^{2}

This simplifies to 29=c^{2}. Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

\sqrt{29} =\sqrt{c^{2}}

This simplifies to c≈5.4 in.

7 0
3 years ago
The lines represented by the equations 5y + 2x = –25 and y= -5/2x – 1 are?
Schach [20]

Answer the same

the same line

Step-by-step explanation:

3 0
3 years ago
Help me multiple choice math question
nikitadnepr [17]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which is the correct word form of 8.16
Aleksandr-060686 [28]

The <u>correct word form of 8.16</u> is b. eight and sixteen hundredths

Since the number is 8.16, we have 8.16 = 8 + 0.16 = 8 + 16/100

Since we have 8 in the units place, it is pronounced eight.

Also, we have our decimal part 0.16 = 16/100 which is pronounced as sixteen hundredths.

So, combining both we have eight and sixteen hundredths.

So, the <u>correct word form of 8.16</u> is b. eight and sixteen hundredths

Learn more about decimals here:

brainly.com/question/8829988

7 0
3 years ago
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