Answer:
yes
Step-by-step explanation:
-1 = 5(0) -1
-1 = -1
Answer:
y=2x
Step-by-step explanation:
2 up, 1 over. put rise over run so that concludes the 2x.
The line starts at 0 so there is no y-intercept
Answer:
-8
Step-by-step explanation:
r=2
so multiply third term by 2
Answer:
Suppose we have a random number A.
The multiplicative inverse of A is a number X such that:
A*X = 1
When we work with real numbers, X = 1/A
Then:
A*(1/A) = A/A = 1
This means that (1/A) is the multiplicative inverse of A.
Where we need to have A ≠ 0, because we can not divide by 0.
Now we want to find the multiplicative inverse of the numbers:
2: Here the inverse is (1/2) = 0.5
1/5: Here the inverse is (1/(1/5)) = (5/1) = 5
-4: Herre the inverse is (1/(-4)) = -(1/4) = -0.25
Answer:
Step-by-step explanation:
We can use the Law of Sines to find segment AD, which happens to be a leg of 
and the hypotenuse of 
.
The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:
Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is 
. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:
Now use this value in the Law of Sines to find AD:
Recall that 
and 
:
Now that we have the length of AD, we can find the length of AB. The right triangle is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio 
, where 
is the side opposite to the 30 degree angle and 
is the length of the hypotenuse.
Since AD is the hypotenuse, it must represent in this ratio and since AB is the side opposite to the 30 degree angle, it must represent in this ratio (Derive from basic trig for a right triangle and 
).
Therefore, AB must be exactly half of AD:
