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mafiozo [28]
3 years ago
12

NEED HELP! Which equation represents a circle with a center at (-5,5) and a radius of 3 units?

Mathematics
2 answers:
Alja [10]3 years ago
7 0

Equation of the circle is (x + 5)² + (y - 5)² = 9

Step-by-step explanation:

  • Step 1: Given center is (h, k) = (-5, 5) and radius is 3. Equation of a circle is given by (x - h)² + (y - k)² = r²

Equation is (x - -5)² + (y - 5)² = 3²

⇒ (x + 5)² + (y - 5)² = 9

creativ13 [48]3 years ago
6 0

Answer:

(x + 5)² + (y - 5)² = 9

Step-by-step explanation:

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Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
Graph<br> plz step by step
Mazyrski [523]

Answer:

Step-by-step explanation:

The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.

5 0
3 years ago
Scale factor word problem<br> Someone please help me!
natima [27]

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

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8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

3 0
2 years ago
Write an equation in slope-intercept form of the line shown.
7nadin3 [17]

Answer:

y = 2x - 5

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in y = mx + b

-3 = (2)(1) + b

-3 = 2 + b

Subtract 2 from both sides

-3 - 2 = 2 + b - 2

-5 = b

b = -5

Plug in the value of m and b into the slope-intercept form equation, y = mx + b.

Thus:

y = 2x +(-5)

✅y = 2x - 5

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3 years ago
A softball team is ordering pizza to eat after their tournament. They plan to order cheese pizzas that cost $ 6 each and four-to
Vlada [557]

Answer:

6x + 10t

Step-by-step explanation:

We know that each cheese pizza (c) is $6, and each four topping pizza (f) is $10.

Knowing this, the total of all the pizzas is going to be 6* the amount of cheese (c) plus 10* the amount of four-toppings.

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