Hello from MrBillDoesMath!
Answer:
m^2 + 11m - 11, which is the first choice
Discussion:
6m + (m-2)(m+7) +3 =
6m + (m^2 + 7m - 2m -14) + 3 =
(6m + 7m - 2m) + m^2 + (-14 + 3) = combine similar terms
11m + m^2 -11 =
m^2 + 11m - 11
which is the first choice
Thank you,
MrB
60 miles per hour is the speed
Answer21
Step-by-step explanation:xpressions equivalent? HELP!
The area of the triangle is
= 3.4641 square feet.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse will be equal to the sum of the squares of the other two sides.
In the given triangle, the hypotenuse is the side that is represented by c. The other sides on the triangle are represented by the values a and b.
Step 2:
Assume the other side of the triangle measures x units.
So according to the Pythagorean theorem,


So the other side of the triangle, b measures 2 feet.
Step 3:
The area of a triangle is half the product of its base length and height.
The base length of this triangle is
feet and the height is 2 feet.
The area of the triangle
The area of the triangle is
= 3.4641 square feet.
Answer:
0.525 = 52.5% probability that the two are from different families.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, the order in which the two participants are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
1 from the Harfield family(from a set of 7).
1 from the McCoy family(from a set of 9). So

Total outcomes:
2 from a set of 16. So

Probability:

0.525 = 52.5% probability that the two are from different families.