Use the number line to model why -7+3=-4

Answers

Answer 1
Answer: -7 -6 -5 -4 -3 -2 -1 0 1 2 3

There is a number line

Start on -7 and move forward 3
-6 -5 -4
Therefore yoy are left on -4

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Find the length of the radius for this circle.(x - 3)² + (y - 5)² = 8

8
4
2√2

Answers

Answer: 2√(2)

Step-by-step explanation:

The general form of equation of a circle is given by :-

(x-a)^2+(y-b)^2=r^2 , where r is radius and (a,b) is the center of the circle.

The given equation of circle:(x - 3)^2 + (y - 5)^2 = 8

\Rightarrow\ r^2=8

Taking square root on both sides, we get

\Rightarrow\ r=√(8)=2√(2)

Hence, the length of the radius for this circle= 2√(2)

we know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8 
the answer is √8 = 2√2

Can someone help me??

Answers

I'm not sure if this is what you mean by 'inverse', but here goes:

y = ∛(x+2)

Cube each side of the equation:

y³ = x + 2

Subtract 2 from each side:

x = y³ - 2

Solve each equation
x^2+6x+9=1

Answers

x= -4 and x=-2

x^2+6x+9=1
(x+3)^2=1
x+3=+/-1
x+3=-1 / x-3=1
x=-4
x=-2

Answer:x=-2,-4

Step-by-step explanation:

Sharon paid$78 sales tax on a new camera.If the sales tax rate is 6.5%,what was the cost of the camera?

Answers

Answer:

$1200

Step-by-step explanation:

78 = 6.5%

This means that if you divide 78 by 6.5, you get the equivalent of 1% of the price:

78 ÷ 6.5 = 12

So 1% = 12

Now simply multiply this by 100 to get the full answer:

12 x 100 = 1200

So the camera cost $1200!


Hope this helps!

Final answer:

To find the cost of the camera, subtract the sales tax from the total amount paid. The cost of the camera was approximately $1200.

Explanation:

To find the cost of the camera, we need to subtract the sales tax from the total amount paid. Let's denote the cost of the camera as 'x'. Since the sales tax rate is 6.5%, we can calculate the sales tax as 6.5% of 'x'. Therefore, the equation becomes:

0.065x = 78

To solve for 'x', we divide both sides of the equation by 0.065:

x = 78 ÷ 0.065

Using a calculator, we find that x ≈ 1200. So, the cost of the camera was approximately $1200.

Learn more about Sales tax here:

brainly.com/question/31507439

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Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Line B: (6, 2) and (9, 4)

Answers

If two lines are parallel, their slopes will be equal. If they are perpendicular, the slope of the first line multiplied by the slope of the second line will equal 1. If they are neither, they won't have any special relationship.

Line A:
Slope = (7 - 5)/(0 - -3), which is equal to 1/3

Line B:
Slope = (4 - 2)/(9 - 6), which is also equal to 1/3.

The two slopes are the same, therefore they are parallel.
It is parallel due to the fact that it is the exact same number with one being positive and one being negative.

what is the number of points of intersection of the diagonals of a regular convex polygon (other than the vertices of the polygon) with 7 sides?

Answers

Answer: Try to add up the integers, they might be there.

Step-by-step explanation: