Answer:
See Explanation
Step-by-step explanation:
A positive integer is a perfect square if it can be expressed as the product of two same positive integers.
Any number that cannot be written this way is a non-perfect square.
Since the integers are not presented, we will quickly examine the perfect squares between 1 and 50.
The perfect squares are: 1,4,9,16,25,36 and 49.
- 1=1 X 1
- 4=2 X 2
- 9=3 X 3
- 16 =4 X 4
- 25 =5 X 5
- 36 =6 X 6
- 49 =7 X 7
Every other positive integer in the numbers 1-50 apart from those listed above is a non-perfect square.
Perimeter is the sum of all outside dimensions.
Solve for x first:
12 + x+7 + x+2 + 5 + x +4 + x + 4 = 42
Combine like terms:
4x + 34 = 42
Subtract 34 from both sides:
4x = 8
Divide both sides by 4:
X = 2
Now solve for EF by replacing x:
EF =. X + 7 = 2 + 7 = 9 feet.
I will do 9 only. You can do 11.
Question 9
sin(60) = x/8
sin(60)(8) = x
4•sqrt{3} = x
x^2 + y^2 = 8^2
(4•sqrt{3})^2 + y^2 = 64
16(3) + y^2 = 64
48 + y^2 = 64
y^2 = 64 - 48
y^2 = 16
sqrt{y^2} = sqrt{16}
y = 4
Do 11 the same way.
Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)