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disa [49]
2 years ago
11

Solve inequality in interval notation Y^2>-5y-9

Mathematics
1 answer:
nata0808 [166]2 years ago
4 0
It’s going to be negative infinitely, infinitely.
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A disc jockey wants to select 4 songs from a new cd that contains 12 songs. How many ways can the disc jockey choose four songs?
WARRIOR [948]

I suppose a DJ wants to select 4 different songs, then there are: 12*11*10*9 = 11880 ways to choose them.

If the order of the songs he plays doesn't matter, there are: \frac{12 * 11 * 10 *9 }{4!} = 495 ways to choose them.

7 0
3 years ago
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Find the measure of a positive angle and a negative angle that are coterminal with 100° sketch of three angles labeling clearly
docker41 [41]

Coterminal angles are different angles that have the same terminal side.

A positive angle has one turn more around so it has a measure of 100°+360° = 460°.

A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.

We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:

3 0
1 year ago
What is the equation of the line that is parallel to y=6x−1 and passes through the point (−3,4)?
BabaBlast [244]

Answer: y = 6x + 22

Step-by-step explanation:

Parallel lines have same slope. So, a line parallel to y = 6x − 1 is y = 6x + c.

Now to find c, put (-3,4) to this equation since the line passes through the point.

4 = 6 × -3 + c

4 = -18 + c

4 + 18 = c

c = 22

So, equation is y = 6x + 22

3 0
3 years ago
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Expand 8x - 2x + 3(-4x+9)
stiks02 [169]

Answer:

4

Step-by-step explanation:

Always do parentheses first!

-4x+9=-5x

8x-2x=6x

-5x-6x+3=

x+3=4

3 0
3 years ago
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Type the correct answer in each box.
Mariulka [41]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center and any point that lie on the circle is equal to the radius

we have the points

(5,-4) and (-3,2)    

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the values

r=\sqrt{(2+4)^{2}+(-3-5)^{2}}

r=\sqrt{(6)^{2}+(-8)^{2}}

r=\sqrt{100}\ units

r=10\ units

step 2

Find the equation of the circle

we know that

The equation of a circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

we have

(h,k)=(5,-4)\\r=10\ units

substitute

(x-5)^2+(y+4)^2=10^2

(x-5)^2+(y+4)^2=100

6 0
3 years ago
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