Which expression is equivalent to that

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:

Step-by-step explanation:

The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.

-46 - 8x > 22

-8x > 22 + 46

-8x > 68

x < 68/-8        (we divided by -8 so the inequality changed direction)

x < -17/2

Step-by-step explanation:

-46 - 8x > 22: Original problem

-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality

-8x > 68: Simplification

x < 68/-8 : You have to flip the inequality symbol because you are dividing by                                

                  a negative number..

x< -8.5 : The answer!!!!!

Checking your answer....

-46 - 8x > 22 : Original problem

-46 - 8(-8.5) > 22 : Substitution

-46 + 68 > 22 : Simplification

22 > 22 : Answer check successful!!!

(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)

Hope this helps!!!!

Answer:

Follow the steps above

Answer:

-8

Step-by-step explanation:

-2(5) + 2

-10 + 2

-8

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

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:

a

Step-by-step explanation:

Answer:

A. y - 4 = 3(x + 2)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

Plug in the slope and given point:

y - y1 = m(x - x1)

y - 4 = 3(x + 2) is the equation

So, A is the correct answer.

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:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

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)

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.

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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:

you read it as 25 miles per hour

Answer:

it is geometric because it multiplies by a factor of 3

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,

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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:

115

Step-by-step explanation:

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

Answer:D

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

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.

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:

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Answer:

3 in a half miles

Step-by-step explanation:

Answer:

8267

Step-by-step explanation

Answer:

The reactantsare the what is used to solve for the products.

Step-by-step explanation:

For example if you the chemical equation C+Ph=CPh C and Ph are the reactants and CPh is the product.

Answer:

Elevator 1: (0, 0) to (0, 13)

Elevator 2: (0, 0) to (0, -10)

Vertically, the two elevators are now 23 feet apart.

Step-by-step explanation:

I just used the coordinate plane for this. Did it help?

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