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Pavlova-9 [17]
4 years ago
9

3. Which point lies inside the circle with equation (x - 2)2 + (y + 3)2 = 4?

Mathematics
2 answers:
timofeeve [1]4 years ago
8 0

Answer:

C (2,-4)

Step-by-step explanation:

You could graph the circle and then graph the points and see...

Or you could them in and see which point makes the left hand less than 4?

So if you wanted to draw it is a circle with center (2,-3) and radius 2.

If you want to do it the other way:

Plug in time!

(2,-5)?

(2-2)^2+(-5+3)^2

0^2+(-2)^2

0+4=4 so not this one

(2,-4)?

(2-2)^2+(-4+3)^2

0+1

1<4  so this one  (you can also see this in the drawing:

icang [17]4 years ago
5 0
(2,-4) is the answer
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plug in the coordinates and get 1-6/5-(-2) which makes our slope -5/7

then use the equation for point slope form which is:

y-y1=m(x-x1)

then plug in one of the coordinates, I'll use (-2,6), now we have

y-6=-5/7(x+2)

now to make this slope intercept, we just have to solve

y-6=-5/7x-10/7

y=-5/7x+4 4/7

repeat all these steps for 2 and 3

#2: slope = -13/5

plug it in to point slope and get: y+8=-13/5(x-3)

slope intercept:

y+8= -13/5x + 39/5

y= -13/5x -1/5

#3: slope = 3/4

point slope form: y-2=3/4(x-3)

slope intercept: y-2=3/4x-9/4 --> y=3/4x-1/4

7 0
3 years ago
Write in descending order.420t + 201 to the 3rd power -210t to the 2nd power
nexus9112 [7]

To answer this, we need to see the polynomial. Descending order is in a way that the first term of the polynomial will be three, the second (in descending order, two....and so on).

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4 0
1 year ago
Explain how to translate the phrase into an algebraic expression.
ASHA 777 [7]
Hey there.. I will be more than happy to help you today..  :)

A Number squared decreased by ten

We will do this with steps:-

Step 1 - "A number ". So, Let's say any number be x

Step 2 -  "A number squared". Our number x is squared i.e. x²

Step 3 - "A number squared" ( i.e. x²  ) is decreased by ten
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This is your answer.
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4 0
3 years ago
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A taxi cab charges $1.50 for the flat fee and $0.50 for each mile. Write an inequality to determine how many miles Sharon can tr
Korvikt [17]

Answer:

C. 0.50x+1.50\leq 25

Step-by-step explanation:

Let x represent number of miles.

We have been given that a taxi cab charges $1.50 for the flat fee and $0.50 for each mile.

The cost of riding x miles would be 0.50x and the total cost of riding x miles would be 0.50x+1.50.

Since Sharon has only $25 to spend on the taxi ride, so the cost of riding x miles on taxi must be less than or equal to 25.

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Therefore, option C is the correct choice.

7 0
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