Answer:
(4,5)
Step-by-step explanation:
(xa+xb/2,ya+yb/2)
(0+8/2,2+8/2)
(8/2,10/2)
(4,5)
hope this helps
Answer:
Paulo will need to mow at least 31 lawns to reach his goal of $2115.00.
Step-by-step explanation:
1. This is an inequality problem. The solution for this problem will involve creating in inequality to solve for the answer. To create an inequality, it is important to keep your information organized concisely.
Total = $2115.00
Lawn = $70.00
x = Amount of Lawns
2. From this information, the inequality can be formed.
70x
2115
3. Using the order of operations, solve the inequality.
x
2215/70
x
30.21
4. The minimum number of lawns Paulo needs to mow is 31 lawns to meet his goal of $2115.00.
Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
A 12 feet ramp is used to load stuff into the truck which is at a height of 3.5 feet from ground.
The ramp forms a Right triangle with ground and height of truck.
In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.
We can use Pythagorean theorem that is given by :-
(Hypotenuse)² = (Base)² + (Height)²
(12)² = (Base)² + (3.5)²
144 = (Base)² + 12.25
(Base)² = 144 - 12.25
(Base)² = 131.75
(Base) = √131.75

So, horizontal distance is 11.48 feet.
The answer is 126, so it would be D:)