Answer:
Length = 11
Width = 6
Step-by-step explanation:
We know that the length is x and the width is x - 5 since it is 5 less than the length.
The equation to find the perimeter of a rectangle is 2w + 2l
We will plug in the values and solve
2(x-5) + 2(x) = 34
2x - 10 + 2x = 34
4x - 10 = 34
4x = 44
x = 11
Since the length is simply x, we know that it is 11. We subtract 5 to find the width.
11 - 5 = 6.
The width is 6.
Answer:
Concert Specialties is the better buy
Step-by-step explanation:
In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...
Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300
We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324
Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment
A, D, and E are true
One X on the line plot marks one time something happened. So the two x’s above the 1 means that he practiced piano for one hour (see to the right that says hours next to the numbers, so 1=1 hour) two times.
45 minutes is 3/4 of an hour, and is the mark right between 1/2 and 1. There is one x above this mark, so that means Thaddeus practiced for 45 minutes one time, so B is false
Thadeus practiced piano for 30 minutes two times, so C is false because he didn’t mostly practice for thirty minutes.
D is correct because there are 2 Xs above the 0, which means two times he practiced for zero hours, which means he didn’t practice at all.
E is correct because 15 minutes is 1/4 of an hour, so it is the mark between 0 and 1/2. We see there are three x’s there, so that means he practiced for 15 minutes 3 times.
I hope this helps! Let me know if you want me to explain it differently.
The answer is heptagon because a heptagon is a shape with 7 sides, not 6. :)
Answer:
9x^4-25x^2+16
Step-by-step explanation:
(x^2−1)(3x−4)(3x+4)=(*)
(x^2−1)((3x)^2−4^2) =
(x^2 - 1)(9x^2-16)=
x^2*9x^2 - x^2*16 - 1*9x^2 +16=
9x^4-16x^2-9x^2+16=
9x^4-25x^2+16
(*) (A-B)(A+B) =A^2 - B^2
