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Radda [10]
3 years ago
12

What is the standard form of this equation of a circle?

Mathematics
2 answers:
Olenka [21]3 years ago
5 0
<span>x² + y² + 14x − 4y − 28 = 0

x² +14x +y² - 4y =28
x²+2*7x  +7² -7²  + y² - 2*2y +2² - 2² = 28
(x+7)² + (y-2)² -7²-2² =28
</span>(x+7)² + (y-2)²=28+49+4

(x+7)² + (y-2)² =81 is the answer.
Marina CMI [18]3 years ago
5 0

(x2 + 14x + 49) + (y2 − 4y + 4) − 28 = 49 + 4

(x + 7)2 + (y − 2)2 − 28 = 49 + 4

(x + 7)2 + (y − 2)2 = 49 + 4 + 28 = 81.

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A town has a population of 170000 and grows at 4% every year.what will be the population after 12 years
Aneli [31]

Answer:

\large \boxed{272175}

Step-by-step explanation:

We can use the exponential growth formula:

y = a(1+r)ˣ

where

y = amount after x time

a = initial amount

r = growth rate as a decimal fraction

x = number of years

Data:

a = 170 000

r = 0.04

Calculations:

\begin{array}{rcll}y &= &170 000(1.04)^{12} & & \\& = &170 000 \times 1.601032 &\\& = &\mathbf{272175} &\\\end{array}\\\text{The population will be $\large \boxed{\mathbf{272175}}$ in 12 yr}

The figure below also shows that the population will grow to about 272 000 in 12 yr.

5 0
3 years ago
Sherry is making snack mix for a school field trip. The recipe shows the amount of each ingredient needed to make 6 bags. Comple
bazaltina [42]

Answer:

Explanatio1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.

As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.

2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.

If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.

3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.

As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.

4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.

As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2n:

Step-by-step explanation:

8 0
3 years ago
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