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4 years ago

Give the equation for a circle with the given center and radius. Center at (2, -9), radius = 3

2 answers:

7 0

In standard form, the equation is $(x-2)^2+(y+9)^2=9,$ where we have plugged $(h,k,r)=(2,-9,3)$ into the standard-form equation $(x-h)^2+(y-k)^2=r^2.$ The center of this general form has coordinates $(h,k),$ and the radius is $r.$

dezoksy [38]4 years ago

5 0

The correct equation is (x-2)^2+(y+9)=9

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Which is the correct label of the parallel lines

Tpy6a [65]

The symbol to show that there are parallel lines is normally just a set of vertical lines. Although if these are being drawn on a page and need to be labelled as part of a shape or diagram, sometimes arrows will be used to show they are parallel - either one arrow in the middle of the line, or two arrows to show they are parallel but in different directions.

8 0

3 years ago

Read 2 more answers

Which points are on the graph of g(x) = (1/5)x?

AlexFokin [52]

Given:

The function is

$g(x)=(\dfrac{1}{5})^x$

To find:

The correct ordered pairs.

Solution:

We have,

$g(x)=(\dfrac{1}{5})^x$

For x=3,

$g(3)=(\dfrac{1}{5})^3$

$g(3)=\dfrac{1}{125}$

So, the ordered pair is $(3,\dfrac{1}{125})$ .

For x=-2,

$g(-2)=(\dfrac{1}{5})^{-2}$

$g(-2)=(5)^2$ $[\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n]$

$g(-2)=25$

So, the ordered pair is $(-2,25)$ .

For x=1,

$g(1)=(\dfrac{1}{5})^1$

$g(1)=\dfrac{1}{5}$

So, the ordered pair is $(1,\dfrac{1}{5})$ .

For x=-1,

$g(-1)=(\dfrac{1}{5})^{-1}$

$g(-1)=(5)^1$ $[\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n]$

$g(-1)=5$

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

5 0

3 years ago

Derek bought 15 feet of rope for a science project. if he used 10 3/8 feet of the rope, how many feet of rope does he have left

Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.

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3 years ago

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Sati [7]

Answer:

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Step-by-step explanation:

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3 years ago