Answer:
Using the distance formula, when I plugged in the information, the answer I got was the square root of 85. (B)
explanation:
C(x₁ , y₁) and T(x₂ , y₂) OR C(0,4) and T(-6,-3)
CT=√[(x₂ - x₁)² + (y₂ - y₁)²] =√[(-6-0)² + (-3 - 4)²]
CT=√[(36) + (49)} = CT = √85
Answer: A. There all 90 degrees
Step-by-step explanation:
Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.
We know that if two lines cut by transversal the following pairs are equal:
- Vertically opposite angles.
- Corresponding angles.
- Alternate interior angles.
- Alternate exterior angles.
If one angles measures 90°, then its supplement would be 90°.
Then by using above properties , we will get measure of all angles as 90°.
This is a compound interest problem, therefore s(t) should be in the form:

where:
t = time in years
s(t) = the value of your item after t years
a = the initial value of your item
r = rate
Therefore, we already know that a = 245$.
Now, we can calculate r:

![r = \sqrt[t]{ \frac{s}{a} }](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5Bt%5D%7B%20%5Cfrac%7Bs%7D%7Ba%7D%20%7D%20)
![r = \sqrt[5]{ \frac{560.50}{245} }](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%20%5Cfrac%7B560.50%7D%7B245%7D%20%7D%20)
= 1.18
Therefore, the correct answers are
a = 245 and
r = 1.18
An applicable equation of a vertical parabola in vertex form is:
y-k = a(x-h)^2
Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex. Then,
4-(-1) = a(2-[-1])^2, which becomes 5 = a(9). Therefore, a = 5/9, and the
equation of the parabola is
y+1 = (5/9)(x+1)
Answer:
The answer is 
Step-by-step explanation:
If we assume that people cannot taste a difference between bottled water, then the probability of identifying tap water is 0.5
Thus, P(identify tap water)=0.5
The probability that at least 8 of the 9 people identify the tap water correctly is the sum of the probabilities
- 8 of 9 people identified correctly or
- 9 of 9 people identified correctly
Since P(identify tap water)=0.5 each probabilities are the same and equal to
=
So we have
= 