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Jobisdone [24]
3 years ago
9

What is the radius of the circle ? (X-3^2+(y-4)^2=49

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

7 units

Step-by-step explanation:

The formula for a circle is: (x-x_1)^2+(y-y_1)^2=r^2 , where (x_1, y_1) is the center of the circle and r is the radius.

Right now, we see that r^2 = 49, so to find r, we square root 49 and get 7.

Thus, the answer is 7 units.

Hope this helps!

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Find the value of f(-8).
fredd [130]

Answer:

-8f

Step-by-step explanation:

5 0
3 years ago
17. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that go
OLga [1]
<h2>Answer </h2>

D. 6x>_360; x>_60

<h2>Explanation</h2>

Let x be amount you will save each weeks

Since we know that you are saving over a period of 6 weeks, you will save 6x.

We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol \geq (greater on equal than)

Now we can combine our tow parts using the inequality symbol:

6x\geq 360

To simplify divide both sides by 6:

\frac{6}{6} x\geq \frac{360}{6}

x\geq 60

You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60



4 0
3 years ago
A rectangle has vertices E(-4, 8), F(2, 8), G(2, -2) and H(-4, -2). The rectangle is dilated with the origin as the center of di
Marizza181 [45]

Answer:

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

Step-by-step explanation:

From Linear Algebra, we define the dilation of a point by means of the following definition:

G'(x,y) = O(x,y) +k\cdot [G(x,y)-O(x,y)] (1)

Where:

G(x,y) - Coordinates of the point G, dimensionless.

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

G'(x,y) - Coordinates of the point G', dimensionless.

If we know that O(x,y) = (0,0), G(x,y) =(2,-2) and G'(x,y) =(5,-5), then scale factor is:

(5,-5) = (0,0) +k\cdot [(2,-2)-(0,0)]

(5,-5) = (2\cdot k, -2\cdot k)

k = \frac{5}{2}

The dilation on any point of the rectangle is:

P'(x,y) = (0,0) + \frac{5}{2}\cdot [P(x,y)-(0,0)]

P'(x,y) = \frac{5}{2}\cdot P(x,y) (2)

The dilation on any point of the rectangle is P'(x,y) = \frac{5}{2}\cdot P(x,y).

5 0
3 years ago
Two consecutive odd integers have a sum of -152. What are the two integers?
ZanzabumX [31]

Answer:

-75 and -77

Step-by-step explanation:

This can be wrote as n+n+2=-152. Combine like terms and subtract 2 from both sides to get 2n=-154. Divide by two to get n=-77 and then add two to get -75.

6 0
3 years ago
A national survey of middle school students asks how many hours of sleep they get on school nights. Which sample ​best​ represen
mariarad [96]

Answer:

D

Step-by-step explanation:

It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.

Which leaves you with D.

5 0
2 years ago
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