Point C is located at (10, 3) and Point D is located at (4, 3). What is the horizontal distance between the two points? Explain.

Can someone solve this for me using the multiplying monomials process?

Ira Lisetskai [31]

Answer

$-44c^{2}d^{6}$

Step-by-step explanation:

Start out by multiplying 11 by 4cd. You get 44cd.

Then multiply 44cd by -cd^5. Then you get $-44c^{2}d^{6}$ .

When exponents are multiplied, you add the exponents to find the new exponent. ( $c^{1}$ x $c^{1}$ = $c^{2}$ )

4 0

3 years ago

Figure not drawn to scale.

DerKrebs [107]

Though you do not provide a diagram, I am going to give this a try by assuming that O is the center of the circle, OA is a radius, and angle AOB is a central angle that measures 88 degrees.

We want to find out the area of sector AOB. First, we need to find the area of the entire circle. The area of a circle is given by $A= \pi r^{2}$ and since the radius of this circle is equal to 1, the area is $\pi ( 1^{2} )= \pi$

Next we need to know what fraction of the circle sector AOB represents. The distance around the circle is 360 degrees but the central angle that intercepts arc AB is 88 degrees. That meas that the fraction of the circle the sector represents is given by $\frac{88}{360}= \frac{11}{45}$

We multiply this by the area to obtain $\frac{11}{45} \pi$ which is the area of the sector.

4 0

3 years ago

Which expression represents 8 less than two times x? a. b. c. d.

Tasya [4]

There are no expressions shown but I will show you what it would look like! 2(x)-8 would be the best answer!

5 0

3 years ago

Where is the center of the circle and what is its radius

Dmitrij [34]

Answer:

(3, -4) and r = 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

$x^2 - 6x + ( ?)+ y^2 +8y + (?) + 16 = 0$

Complete the square with each variable to find what numbers should go in place of the question marks.

$(-6/2)^2 = -3^2 = 9$

$(8/2)^2 = 4^2 = 16$

Since 16 has already been added to the equation, just add 9 to both sides of the equation.

$x^2 - 6x + 9 + y^2 +8y + 16 = 9\\(x-3)^2 + (y+4)^2 = 9$

So the center is (3,-4) and the radius is 3.

5 0

3 years ago

(Find the Probability Question) Choose 2 girls from a class of 12 boys and 8 girls.

Ulleksa [173]

Step-by-step explanation:

what should be the question ?

how many different pairs of 2 girls can you pick out of 8 ?

what is the probability that a specific girl is in the picked pair ?

or is it : if you pick randomly 2 students from the class, what is the probability to have picked 2 girls ?

and there are more options.

but I assume the problem is the picking randomly 2 students.

so, it is 20 students (12 + 8). if we pick 1 student, we have a chance of 12/20 = 3/5 to pick a boy, and a chance of 8/20 = 2/5 to pick a girl.

in our experiment we pick 2 students in a row without returning the first pick into the main pool.

the probabilty for the first pick to be a girl is, as mentioned, 2/5 or 0.4.

for the second pick we have only 7 out of 19 choices to pick a girl. so, the probability to pick a girl now is 7/19.

the combination of both (non-overlapping) probabilities is done via multiplication, and the probabilty to pick 2 girls is :

2/5 × 7/19 = 2×7 / 5×19 = 14/95 = 0.147368421...

7 0

2 years ago