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kirza4 [7]
3 years ago
6

Write an equation of a circle that is centered at (1,-4) with a radius of 10.

Mathematics
2 answers:
alexdok [17]3 years ago
5 0

Answer:

(x-1)^2 + (y+4)^2 = 100\\\\

=====================================================

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

tangare [24]3 years ago
4 0

Answer:

Hope this helps!

Step-by-step explanation:

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For each problem, identify any important quantities. If it's a known quantity, write the
Tema [17]

Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

X*$3.50 + Y*$9

And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

X*$3.50 + Y*$9  ≤ $35

Where we defined all the quantities in the inequality.

4 0
3 years ago
a television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the scre
Grace [21]

Answer: 75\%

Step-by-step explanation:

You know that the ratio of the television's screen is 5:4 . This ratio can be also written as the following fraction:

\frac{5}{4}

The television shows an image with a ratio of 20:12 which can be also written as a fraction:

\frac{20}{12}

Set up the following proportion and solve for "x":

\frac{20}{x}=\frac{5}{4}\\\\x=\frac{4*20}{5}\\\\x=16

Now, in order to find the percent of the screen area occupied make the following division:

\% occupied=\frac{12}{16}*100=75\%

6 0
3 years ago
What is the name of a figure made of 6 congruent squares
ozzi

Answer:

B) Cube

Step-by-step explanation:

A) square pyramid has one square base and 4 congruent triangles

B) Cube has 6 congruent squares

C) Rectangular pyramid has one rectangle base and 4 congruent triangles

D) Rectangular prism has 3 sets of rectangles; total of 6 rectangles

5 0
3 years ago
Help me!! don’t give me the sample response though!
REY [17]

Answer:

They are both correct because, they both used the properties of equality.

Step-by-step explanation:

7 0
3 years ago
the zeros of a parabola are -4 and 2, and (6, 10) is a point on the graph. which equation can be solved to determine the value o
natka813 [3]
Sure this question comes with a set of answer choices.

Anyhow, I can help you by determining one equation that can be solved to determine the value of a in the equation.

Since, the two zeros are - 4 and 2, you know that the equation can be factored as the product of (x + 4) and ( x - 2) times a constant.  This is, the equation has the form:

y = a(x + 4)(x - 2)

Now, since the point (6,10) belongs to the parabola, you can replace those coordintates to get:

10 = a (6 + 4) (6 - 2)

Therefore, any of these equivalent equations can be solved to determine the value of a:

10 = a 6 + 40) (6 -2)

10 = a (10)(4)

10 = 40a
7 0
3 years ago
Read 2 more answers
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