If M
then mABC = [ ? ]

Answer:

(x - 3)² + (y + 2)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Center (3, -2)

Radius r = 3

Step 2: Write Equation

Answer:D

Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased

Answer:

5x + (-8)

Step-by-step explanation:

2(x-6)+3x+4=

Distribute:

(2)(x)+(2)(−6)+3x+4

=2x+−12+3x+4

Combine Like Terms:

(2x+3x) + (-12+4)

= 5x+(-8)

Answer:

8267

Step-by-step explanation

Answer:

30

Step-by-step explanation: you add 3+3 and multiply 5 and get 6x5 is 30

Answer:

$2,854.2

Step-by-step explanation:

For Sebastian

It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.

1 year = 12 months

10 years = x

Cross Multiply

x = 10 × 12 = 120 months

He pays $296.66 monthly

Hence, the total amount he paid in 10 years =

$296.66 × 120

= $35,599.2

The loan he took was $30,000.

Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000

= $5,599.2

For Jana

Jana paid off a loan for the same

amount at the same interest rate in 5 years by paying $545.75 per month.

1 year = 12 months

5 years = x

Cross Multiply

x = 10 × 5 = 60 months

He pays $545.75 monthly

Hence, the total amount he paid in 5 years =

$545.75 × 60

= $32,745

The loan she took was $30,000.

Hence, the interest Sebastian paid on his loan = $32,745 - $30,000

= $2,745

How much more did Sebastian pay in interest than Jana?

This is calculated as:

The interest Sebastian paid - The Interest Jana paid

= $5,599.2 - $2,745

= $2,854.2

Therefore, Sebastian paid $2,854.2 more than Jana

Answer:

115

Step-by-step explanation:

The person above is right your ratio is the key to divide all the sizes.

Answer:

2.294117647

Step-by-step explanation:

3/17  =  u/13

Cross multiply:

3 * 13 = 17 * u

Simplifying

3 * 13 = 17 * u

Multiply 3 * 13

39 = 17 * u

Solving

39 = 17u

Move all terms containing u to the left, all other terms to the right.

Add '-17u' to each side of the equation.

39 + -17u = 17u + -17u

Combine like terms: 17u + -17u = 0

39 + -17u = 0

Add '-39' to each side of the equation.

39 + -39 + -17u = 0 + -39

Combine like terms: 39 + -39 = 0

0 + -17u = 0 + -39

-17u = 0 + -39

Combine like terms: 0 + -39 = -39

-17u = -39

Divide each side by '-17'.

u = 2

Simplifying

u = 2.294117647

Answer:

A. No solutions

Step-by-step explanation:

The solution of the equations would be a point where both functions meet but in our case since the functions are parallels to each other they will never meet there for there will never be a solution to the following system of equations.

Answer:

3 in a half miles

Step-by-step explanation:

Answer:

13 degrees.

Step-by-step explanation:

First we calculate the other 2 angles of the triangle of which < x is a part.

The bottom angle = 85 (vertical angles are equal).

The top one  = 180 - 98 = 82. ( corresponding and adjacent angles).

So angle x = 180 - (85 + 82).

= 180 - 167

= 13 degrees.

Answer:

one value of x would be x=5/2 and x=3/2

Step-by-step explanation:

Step-by-step explanation:

(7 + x) / 3 = 2x - 5

7 + x = 3(2x - 5) (multiply 3 on both sides)

7 + x = 6x - 15 (distributive property)

5x = 22 (arrange like terms)

x = 4.4 (divide 5 on both sides)

Answer:

The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute

Step-by-step explanation:

The given parameters are;

When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute

Therefore, we have;

dr/dt = 2 in./min

The area of the circular surface of the dough, A = π·r²

The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;

dA/dt = d(π·r²)/dt = π·2·r·dr/dt

Where;

r = 12 in.

dr/dt = 2 in./min

Substituting, we have;

dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.

The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.

The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the point (4,-7)

If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.

So,

4 units right → 4 + 4 = 8

5 units up → -7 + 5 = -2

So the new coordinate will be (8,-2)

Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".

To learn more about the transformation of graphs,

brainly.com/question/3099136

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Answer:

224

Step-by-step explanation:

Simply do 345-121 to find the answer

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

410.76

Step-by-step explanation:

34.23 * 12= 410.76

1 year = 12 months

Step-by-step explanation:

Check the photo

~~~~~~~~~~~~~~

The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.

A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.

Given:

The figure is shown, The line is passing through (1, 4) and (8, 8),

The equation of the line in the given question can be written as,

y - 8 = (8 - 4) / (8 - 1) (x  - 8)

y - 8 = 4 / 7 (x - 8)

7(y - 8) = 4(x - 8)

7y - 56 = 4x - 32

7y = 4x - 32 + 56

7y = 4x + 24

The slope of the line is 4 / 7

The translated equation can be written as,

y - (-3) = 4 / 7 (x - (-4))

y + 3 = 4 / 7 (x + 4)

Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.

To know more about translation:

https://brainly.com/question/17370215

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Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

Answer:

x= 50°

Step-by-step explanation:

the total angles in a triangle must equal 180 so just subtract 80 and 50 from 180

Answer:

x = 130°

Step-by-step:

I looked at the triangle with the angles 50° and 80°. to find the missing angle in that triangle, you want to add the numbers and then subtract 180° from that because when you add all three sides of a triangle, it equals 180°. So when you add 50° and 80°,you get 130°. Now you have to do 180° - 130° and you get 50°.  Now that you have the missing angle for the last triangle, you can use that angle to find the measure for the line across from that. To do that, you have to take 180° and subtract 50°. You would get 130°. Your answer for x is 130°.

Answer:

it is geometric because it multiplies by a factor of 3

Hi,

I cannot see the equations so...

Answer:

37.5

Step-by-step explanation:

Answer:

6 is 16% of the number 37.5

Step-by-step explanation:

We have, 16% × x = 6

or, 16/100 × x = 6

Multiplying both sides by 100 and dividing both sides by 16,

we have x = 6 × 100/16

x = 37.5

Answer:

Follow the steps above

Answer:

Square and Rhombus

Sorry for being late

Answer:

m=-1/3

Step-by-step explanation

y2=2,y1=5  ,  x2=10  , x1= 1

m=y2-y1/x2-x1

m=2-5/10-1

m=-1/3

3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.

Answer:

a

Step-by-step explanation: