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Luba_88 [7]
3 years ago
8

I need help understanding how to do this .

Mathematics
1 answer:
motikmotik3 years ago
6 0

To draw the equation of a circle, you need the center coordinates (h,k) and the radius r.

Once you know them, you can write the equation for the circle as

(x-h)^2+(y-k)^2 = r^2

We can eyeball the center coordinates: from the origin, we have to go one step right and two steps below, so the coordinates are (1,-2)

For the radius, you can see that if you move three units up, down, left or right from the center, you reach the circumference. So, the radius is 3.

Given everything we said above, we're ready to write the equation:

(x-1)^2+(y+2)^2 = 9

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15. Sonny has $75 to spend. The purchase he wants to make requires
7nadin3 [17]

If he has $75 and need $93 to make the purchase, he needs to find the difference between what he needs and what he has:

     93 - 75 = 18

He needs to borrow $18 to make the purchase.

3 0
3 years ago
Read 2 more answers
Graph the function. Describe its position relative to the graph of the indicated basic function.
masya89 [10]

Answer:

The answer is (b) moved right 3 units and moved down 3 units

Step-by-step explanation:

∵ f(x) = 4^x ⇒ red in the graph

∵ f(x) = 4^(x-3) - 3 ⇒ blue in the graph

∵ x  becomes x - 3 ⇒ means:

 The graph moved right 3 units

∵ f(x) = 4^x becomes 4^(x-3) - 3 ⇒ means:

  The graph moved down 3 units

∴ The answer is (b)

9 0
3 years ago
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A parking lot is 75 feet wide and 90 feet long. What is the cost of paving the lot with concrete at $3.50 per square yard?
g100num [7]
This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?

We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.

Area of a rectangle is Length multiplied by Width.

90 × 75 = 6,750

The area of the paving lot is 6,750 feet squared.

Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.

We can solve this by first taking the step to finding how many yards are in the paving lot.

A yard is 3 feet so we'll divide the area of the paving lot by 3.

6,750 ÷ 3 = 2,250

With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.

2,250 × 3.5 = 7,875

It should cost $7,875 dollars to pave the entire lot.
3 0
3 years ago
What is the value of f(-1)
natima [27]

ANSWER

f( - 1) = 0

EXPLANATION

From the table the values of x, are on the left and the values of f(x) are on the right.

To find f(-1), we look for the value under f(x) that corresponds to x=-1.

This value is 0.

Therefore

f( - 1) = 0

8 0
3 years ago
Help help help timed exam please
LUCKY_DIMON [66]

Answer:

The correct option is the second option;

a. Division property of equality

b. Symmetric property of congruency

c. Multiplication property of equality

Step-by-step explanation:

a. For the equation in part a., we have;

6·a = 30

Therefore;

6·a/6 = 30/6

a = 5

Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality

b. For the relationship in part b., we have;

∠ABC ≅ ∠LMN

∠LMN ≅ ∠ABC

The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency

c. For the equation in part c., we have;

\dfrac{2}{3} \cdot \left (x - 6\right ) = 8

Multiply both sides by 3, to get;

3 \times \dfrac{2}{3} \cdot \left (x - 6\right ) = 3 \times 8 = 24

Cancel like terms on the left hand side of the equation, to get;

2·(x - 6) = 24

Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality

5 0
2 years ago
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