<span>The angles are supplementary.</span>
Answer:
x = 2/3, -2/3
Step-by-step explanation:
Solve the equation for x by finding a
, b
, and c of the quadratic then apply the quadratic formula.
QUESTION 33
The length of the legs of the right triangle are given as,
6 centimeters and 8 centimeters.
The length of the hypotenuse can be found using the Pythagoras Theorem.





Answer: C
QUESTION 34
The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.
The length of the other leg can be found using the Pythagoras Theorem,





Answer:B
QUESTION 35.
We want to find the distance between,
(2,-1) and (-1,3).
Recall the distance formula,

Substitute the values to get,





Answer: 5 units.
QUESTION 36
We want to find the distance between,
(2,2) and (-3,-3).
We use the distance formula again,





Answer: D
The first step in calculating the mean is to add the numbers. After that you divide by the number of items in the data set. You don’t need to group the numbers to find the mean. Hope this helped!
Answer:
The constant of proportionality is 54.
k = 54
c as a function of d:


Step-by-step explanation:
We are given the following in the question:
c is inversely proportional to the square of d.

When c = 6, d = 3.
Plugging the values, we get,

Thus, the constant of proportionality is 54.
c as a function of d can be written as:

We have to find value of c when d = 7.
Putting values, we get,

is the required value of c.