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3 years ago

Write the standard form of the equation of the circle with radius 4 and center (−7,−6).

Mathematics

1 answer:

olasank [31]3 years ago

4 0

The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2

h is the x value of the center and k is the y value of the center and r is the radius.

Replace h, k and r with the given information:

(x- -7)^2 + (y - -6)^2 = 4^2

Simplify:

(x+7)^2 + (y+6)^2 = 16

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Which is a greater number the mass of a cat in grams or the mass of a cat in kilograms

dem82 [27]

The mass of a cat in grams is greater because in 1 gram=0.001 kilograms

6 0

3 years ago

CAN SOMEONE HELP DO #1 PLEASE

love history [14]

Answer:

B. $450

Step-by-step explanation:

The amount of commission is the commission rate (3%) times the amount of sales to which it is applied ($5000). Garrett's commission last week would be ...

0.03 × $5000 = $150

He is also paid $300 each week in addition to his commission, so his total pay last week was ...

pay = salary + commission

pay = $300 +150 = $450

4 0

2 years ago

Find the area of the shape shown below.

cricket20 [7]

Answer:

Step-by-step explanation:

3+9=12

12/2=6

6x3=18

3 0

3 years ago

Read 2 more answers

Find tan(450-a), If <img src="https://tex.z-dn.net/?f=%20%5Ctan%28a%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

Inessa05 [86]

Answer:

$tan(450-a)=5\sqrt{3}-8$

Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

Remember:

450°=360°+60°

and:

$tan(a)=\frac{1}{2}$

Thus:

$tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\$

Then:

$tan(450-a)=5\sqrt{3}-8$

4 0

2 years ago

Assume the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons.

Rama09 [41]

The rate of change is 16.8 million tons per year

Solution:

Given that, the world catch of fish in 1950 was 12 million tons and in 1955 it was 96 million tons

The average rate of change is given by formula:

$\text{ Average rate of change } = \frac{\text{ change in value }}{\text{ number of years }}$

Value in 1950 = 12 million tons

Value in 1955 = 96 million tons

Change in value = value in 1955 - value in 1950

Change in value = 96 million - 12 million = 84 million tons

Number of years = 1950 to 1955 = 5 years

Substitute the given values in formula,

$\text{ Average rate of change } = \frac{84 \text{ million tons}}{5} = 16.8 \text{ million tons}$

Thus rate of change is 16.8 million tons per year

5 0

3 years ago