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swat32
3 years ago
8

Which of the following statements is true?

Mathematics
1 answer:
siniylev [52]3 years ago
8 0
A isnt correct because radius goes from center of circle to any point on circle. Chord on the other hand connects 2 points on circle...

B is also false. Secant goes through circle while tangent only touches it in one point. 

C is correct. Chord connects as said before 2 points on circle and in some cases it can connect 2 points in such way that it goes through center which is diameter.

D is not correct because chord doesnt have to pass trought center of circle in order to connect any 2 points on circle.
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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
A punch recipe that serves 24 people calls for 4 liters of lemon-lime soda, 2 pints of sherbet, and 6 cups of ice. How much of e
Tatiana [17]
Find out how much you need for one person then multiply by 18 is one way you could do this..

4 divided by 24 = 0.166666666666667 x 18 = 3 litres of lemon-lime soda.

2 divided by 24 = 0.083333333333333 x 18 = 1.5 pints of servet

6 divided by 24 = 0.25 x 18 = 4.5 cups of ice.

Hope this helps!
Your teacher may have wanted you to (some how) use your 6x tables to work this out?!

8 0
3 years ago
Read 2 more answers
How many millions to get a billion? <br><br>A. 100<br>B.4000<br>C.1000<br>D.10​
hoa [83]

Answer:

c

Step-by-step explanation:

3 0
2 years ago
The measure of ∠P is five less than four times the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find m∠P
MArishka [77]

Answer:

P=143

Step-by-step explanation:

So, we know that P and Q are supplementary angles. In other words:

\angle P +\angle Q =180

We also know that P is 5 less than 4 times Q. Thus:

\angle P=4\angle Q-5

Substitute the second equation into the first:

(4\angle Q-5)+\angle Q=180

Find Q. Combine like terms:

5\angle Q-5=180

Add 5 to both sides:

5\angle Q=185

Divide both sides by 5:

\angle Q=37

So, Q is 37 degrees.

Q and P are supplementary, which means that P is 180-37 or 143 degrees.

And we're done!

6 0
2 years ago
binh is choosing from 6 youtube videos and and nine online role-playing games to link to his Myspace Page. If he randomly picks
mina [271]
56/143
Using (6C3 x 9C4)/ 15C7 to find probability of 3 out of 6 youtube and 4 out of 6 online divided by  7 out of 15 total
4 0
3 years ago
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