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alex41 [277]
2 years ago
12

Simplify: 13x - y - y + 7y - 12x

Mathematics
1 answer:
Citrus2011 [14]2 years ago
8 0
The answer is x + 5y. You have to combine like terms
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Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

 

So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

8 0
3 years ago
How to solve a equation like:<br> 2m = -2/3
adell [148]

Answer:

m = -\frac{4}{3}

Step-by-step explanation:

2m = -\frac{2}{3}

Divide both sides by 2 to get just m

\frac{2m}{2} = \frac{-\frac{2}{3}}{2}

You can't divide a fraction by a number so you do kcf (keep it, change it, flip it)

m = -\frac{2}{3} x \frac{2}{1}

m = -\frac{4}{3}

6 0
3 years ago
Find the common ratio of the sequence 2,8,32,128..
Nezavi [6.7K]
4 because that is what's multiplied throughout
7 0
3 years ago
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What is the inverse of the function y=4^x
KengaRu [80]

Answer:  We are supped to solve for y so it will be division because that's the inverse for x. so: x/4 is your answer.

3 0
3 years ago
Cressida decided to save a part of her income in a savings account that compounds interest every four months. Her account balanc
Bogdan [553]

Answer:

A

Step-by-step explanation:

account balance on compound interest = principal amount (1+rate/100)^time

here there are t years  so toat months are 12t and ad interest is after each 4 months so time is 12t/4 =3t

now total balance = 3545(1.045)^3t

here 3545 is principal amount , rate is( 1.045-1)×100 =4.5% per 4 months and 3t is time so clearly 3t or 3 is a growth factor hence option A

8 0
3 years ago
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