Answer:
x =1 or -3
Step-by-step explanation:
10 = -x^2 - 2x + 13
when you solve that equation^ you get your answer to be either 1 or -3. Since -3 is a negative number, I would just type in x = 1
Answer:
8
Step-by-step explanation:
This can be solved using intersecting chord theorem. This tells us that when 2 chords intersect inside a circle, the 4 segment it creates, each individual segments' products are equal.
Thus, we can say that the product of 5 and x is equal to the product of 10 and 4. Thus:

Hence x = 8 is the correct answer
Answer:
The solution to the system of the equations will be:

Step-by-step explanation:
Given the system of the equations


solving the system of the equations





solving

Divide both sides by -2





Therefore, the solution to the system of the equations will be:

Answer:
The answer is B.
Step-by-step explanation:
Let us go through each of the points one by one:
The label A represents the radius of the base of the cone.
The label B represents the height of the cone.
The label C represents the origin of the base of the cone.
The label D represents the vertex of the cone (where the cone ends).
So it is choice B that represents the height of the cone.
<em>P.S: it is tempting to pick label D to represent the height, but since label A already points to a line that is the height of the cone, we don't pick Label D.</em>
Answer:
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.
Step-by-step explanation:
For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.
For the $150, the restocking fee is $9, so the ratio of the restocking fee to the price of the item is 9/150.
Now we find out if the ratios 12/200 and 9/150 are equal.
12/200 = 3/50
9/150 = 3/50
Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.