Answer:
Please see below.
Step-by-step explanation:
I will be using * to express multiplication, and ^ to express squares.
A) Can you find the area of the shape?
Yes, we can.
We can simply multiply 5x - 3 by 2x, as seen below.
(2x)(5x - 3)
2x * 5x = 10x^2
2x * -3 = -6x
Area = 10x^2 - 6x
B) Can you find the perimeter of the shape?
Yes.
Because a rectangle has two sets of equal sides, we can merely multiply the two given measurements by two and add them together to find the perimeter.
2x * 2 = 4x
2(5x - 3) = 10x - 6
4x + 10x - 6 = 14x - 6
Perimeter = 14x - 6
C) If x = 2, what is the area of the shape?
We can just plug in 2 wherever our x shows up.
5x - 3 = 5 * 2 - 3 = 10 - 3 = 7
2x = 2 * 2 = 4
7 x 4 = 28
We can also use our previous formula from A.
10x^2 - 6x
10 * 2^2 - 6 * 2
10 * 4 - 12
40 - 12
28
Our area if 28 if x = 2
Please let me know if any of these are incorrect.
Answer:
for 
#1 is correct- The constant is 7
#2 is correct- The poly is in standard form
#3 is correct- the leading coefficient is 4
#4 is correct- there are 4 terms
Answer:
3a, 13cm 5, 1:200
Step-by-step explanation:
In the question 3 you just have to divide all of those numbers with that 5000, maybe also make them cm so it makes more sense. So 650m = 65000cm:5000= 13cm
then for the question 5, make the km to cm, so 4.2km would be 420000cm. Then you have to divide that 420000cm with the 21 cm, so 420000:21= 200. Then the scale should be 1:200
I had difficulties with these as well. If you need extra help with the task 3 please pm me :)
Answer: 3/10
Step-by-step explanation: (1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way......each 1/10 of a gallon fills 1/3 of the bin......so 3(1/10) gallons fills 3(1/3)bins....or
3/10 gallons fills a whole bin...
