Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: 
We have 
Putting values and finding midpoint
So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is:
We have 
Putting values and finding midpoint
So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely
We will break the middle term and find factors
So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely
We will break the middle term and find factors
So, the factors are (x+4)(x+2)
Option A is correct.
Answer:
8
Step-by-step explanation:
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2
Answer:
8
Step-by-step explanation:
The numbers are 6 and 2x, then:
- 1/6 + 1/(2x) = 7/24
- 1/3 + 1/x = 7/12
- (x+3)/(3x) = 7/12
- 12(x+3) = 7*3x
- 12x + 36 = 21x
- 21x - 12x = 36
- 9x = 36
- x = 4
The other number is 2*4 = 8
Answer:
3x + 2y - 5 = 0
Step-by-step explanation:
Standard form: ax + by + c = 0
2y = -3x + 5
+3x - 5 to both sides
2y + 3x - 5 = 0
Change order.
3x + 2y - 5 = 0
