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Iteru [2.4K]
3 years ago
8

3.

Mathematics
1 answer:
saveliy_v [14]3 years ago
4 0

Answer:

32pi

Step-by-step explanation:

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Complete the square to transform the quadratic equation into the form
faltersainse [42]

The square of a binomial is written like

(x\pm a)^2 = x^2\pm 2ax + a^2

In your case, you have 2ax=-8x, which implies a=-4

So, we want to write

(x-4)^2 = x^2-8x+16

But our left hand side is

x^2-8x-10

If we add 26 to both sides, we have

x^2 - 8x - 10 +26 = 18+26 \iff x^2-8x+16=44 \iff (x-4)^2=44

7 0
4 years ago
The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins
garik1379 [7]

Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

15b=300

b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

a+b=45

a+20=45

a=25

The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.

3 0
3 years ago
I need help i'm struggling with this work
Mamont248 [21]
I believe the correct answer is C I could be wrong tho
3 0
3 years ago
Read 2 more answers
A bottle holds 570 milliliters of liquid. How much is this in ounces? Use the following conversion: 1 ounce is 30 milliliters.
Sveta_85 [38]
570 ÷ 30 = 19 ounces is the answer
7 0
3 years ago
Read 2 more answers
Today, you want to sell a $1,000 face value zero coupon bond you currently own. The bond matures in 3.5 years. How much will you
Agata [3.3K]

The amount I would receive for the bond when I sell it at the yield to maturity is $810.41.

<h3>How much would I receive for the bond?</h3>

In order to determine the amount I would receive for the bond, the present value of the bond has to be determined. Present value is the discounted cash flow.

Present value = $10000 / (1.0619)^3.5 = $810.41

To learn more about present value, please check: brainly.com/question/26537392

4 0
2 years ago
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