Martha rolls two number cubes. What is the probability that both number cubes come up even?

4 raised to power two minus 8u minus 9=0

coldgirl [10]

Answer:

x can be 3, -3, i, or -i.

Step-by-step explanation:

If you can't find the factoring by looking at this, simplify the equation.

let

x

2

=

y

to make things easier to see

Now we have

y

2

−

8

y

−

9

=

0

See it now?

We can factor into

(

y

−

9

)

(

y

+

1

)

Now substitute back in

x

2

for

y

.

(

x

2

−

9

)

(

x

2

+

1

)

Since

(

x

2

−

9

)

is a difference of two squares,

(

x

−

3

)

(

x

+

3

)

Now we have

(

x

−

3

)

(

x

+

3

)

(

x

2

+

1

)

x can be 3, -3 for the first two parts

x

2

+

1

=

0

can become

x

2

=

−

1

Taking the positive and negative root means

x

=

±

√

−

1

Thus

x

=

±

i

in addition to 3 and -3.

4 0

3 years ago

Read 2 more answers

Two functions are given below. How does the graph of

tensa zangetsu [6.8K]

I think it’s C. I plugged it on to a graph and shows that graph a is steeper than graph b. red is graph a. blue is graph b.

7 0

3 years ago

The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen

butalik [34]

Answer: 144 inches.

Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

$P=2l+2w$

Where $l$ is the lenght and $w$ is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

$P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in$

7 0

2 years ago

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

2 years ago

A Norman window has a length of 3 ft and width of 4 ft find the area of the rectangular piece of the glass

KengaRu [80]

Area= Length * Width

3*4= 12

Answer: 12ft^2

7 0

3 years ago