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3 years ago

Please answer at least one of them

Mathematics

1 answer:

Ray Of Light [21]3 years ago

6 0

The equation of a circle with radius r and center at point (a, b) is given by
(x - a)^2 + (y - b)^2 = r^2
1.) For the circle given by x^2 + y^2 = 24
(x - 0)^2 + (y - 0)^2 = (√24)^2
Therefore, center = (0, 0) and radius = √24 = 4.9 units

3.) x^2 + y^2 -10x -2y = -10
x^2 - 10x + (-5)^2 + y^2 - 2y + (-1)^2 = -10 + (-5)^2 + (-1)^2
x^2 - 10x + 25 + y^2 - 2y + 1 = -10 + 25 + 1
(x - 5)^2 + (y - 1)^2 = 16
(x - 5)^2 + (y - 1)^2 = 4^2

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Benin is sawing boards to make a deck. What is the area of the deck, shown

sergejj [24]

Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck

Area (left triangle) + Area (rectangle) + Area (right triangle)
1/2 x 6 x 7 + 10 x 7 + 1/2 x 7 x 5
21 + 70 + 17.5
91 + 17.5
108.5 square feet

3 0

3 years ago

$855 in an account for one year at a 6% interest rate . can you help me ?

trapecia [35]

So for this, you will be using the exponential equation formula, which is y=ab^x , with a = initial value and b = growth/decay.

Since we start out with 855, that is your a variable.

And since this is a growth by 6%, add 1 and 0.06 (6% in decimal form) together, which is 1.06. That is your b variable.

In this case, time is the independent variable. therefore 1 year is the x variable.

Using the prior info, we can form our equation to be: y = 855(1.06)^1 . From here we can solve for y.

Firstly, solve 1.06^1: y = 855(1.06)

Next, multiply everything, and your answer should be y = 906.30 . In this context, there will be $906.30 in your account after 1 year.

8 0

3 years ago

If you want to place an 8 ½ inch towel bar in the center of a door that is 25 ½ wide, how much space will be on each side of the

Marta_Voda [28]

Answer:

8 $\frac{1}{2}$ in on each side

Step-by-step explanation:

If a door is 25 $\frac{1}{2}$ in wide and the towel bar is 8 $\frac{1}{2}$ in long, we can first subtract the length of the towel bar from the total width of the door to find out how many inches of space are remaining:

25 $\frac{1}{2}$ - 8 $\frac{1}{2}$ = 17

Since you want to center the towel bar on the door, you can divide the remaining space by two (2) to find how much space will be on each side:

17/2 = 8.5 inches on each side.

4 0

3 years ago

Angles L and M are complementary. If m∠L = (x + 2)° and m∠M = (x – 6)°, what is the value of x?

nevsk [136]

Answer: 47°

Step-by-step explanation:

(x + 2)° + (x - 6)° = 90°

x + 2 + x - 6 = 90

2x - 4 = 90

2x - 4 + 4 = 90 + 4

2x = 94

$\frac{2x}{2} = \frac{94}{2}$

x = 47°

6 0

3 years ago

Factonse fully 35x^2-25x

hodyreva [135]

Answer:

5x(7x-5)

Step-by-step explanation:

5 goes into both

Then you need what you times five by for each one - 7 and 5

Add an extra x for the 35x²

5x(7x-5)

7 0

4 years ago