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3 years ago

Start with x^2 + 4x = 12 and complete the square, what is the equivalent equation?

1 answer:

3 0

The answer is A. You multiply each side by (b/2)^2. B is 4. 4 divided by 2 squared is 4. To make it the same equation squared, you factor it to (x+2)^2. You have to also add the (b/2)^2 to 12 so 12+4=16

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The sum of two numbers is 66. Two times the smaller number is 15 more than the larger number. What are the numbers? First one wi

Viktor [21]

Answer:

Larger number (y) is 39

Smaller number (x) = 66 - 39 = 27.

Step-by-step explanation:

Let the smaller number be x and the larger number be y.

Sum of two numbers = 66

According to question,

x + y = 66

x = 66 - y.........(1)

Now, since twice of smaller number is 15 more than the larger number, According to question,

2(smaller number) = larger number + 15

2x = y + 15 .........(2)

Now substituting the value of y from (1) in (2)

2 (66 - y) = y + 15

132 - 2y = y + 15

-2y - y = -132 + 15

3y = 117

y = 117/3 = 39

So the largest number (y) is 39

Smaller number (x) = 66 - 39 = 27.

8 0

4 years ago

5miles = 8km. How many km in 80miles?

Zina [86]

Answer:

128

Step-by-step explanation:

Set this up as a proportion with miles on the top and km on the bottom:

$\frac{mi}{km}:\frac{5}{8}$

If we want to know how many km are in 80 miles, we put the variable with the km stuff on the bottom and 80 on top and cross multiply to solve for the variable:

$\frac{mi}{km}:\frac{5}{8}=\frac{80}{x}$ so

5x = 640 and

x = 128

That means that 80 miles is equivalent to 128 km

4 0

4 years ago

How do I Factor 5x+15+xy+3y

Valentin [98]

you split the problem into two separate problems and go from there.

so, (5x+15) and (xy+3y) then you take out the common factor in both

so, positive 5 out of (5x+15) and positive y out of (xy+3y)

you'll then have 5(x+3) and y(x+3)

The x=3 is similar in both problems so you can combine them to make one and combine the two factors you took out to make another problem.

So your final answer is (x+3)(5+y)

7 0

3 years ago

Read 2 more answers

true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it

MissTica

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

6 0

3 years ago

Can someone please answer. There is one problem. There's a picture. Thank you!

iragen [17]

Volume of a tank is:
V = r² π H = 0.75² · 3.14 · 2 = 3.5325 cubic feet
For propane:
3.5325 · 2,516 = 8887.77 ≈ 8888 BTU
Answer: D)

7 0

3 years ago