Question 1. Midpoint
Answer: M(-2,4)
Explanation:
1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:
x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2
2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:
x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4
So, the answer is M (-2,4)
Question 2: The distance between the two midpoints is:
Answer: 7.21
Explanation:
1) Use the formula of distance, which is an application of Pythagora's theorem:
d² = (x₂ - x₁)² + (y₂ - y₁)²
2) Substitute values:
d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
Answer:

Step-by-step explanation:
Equilateral triangles have 3 equal sides.
Thus, perimeter of triangle
= 3(2x -3)
= 3(2x) +3(-3) <em>(</em><em>expand</em><em>)</em>
= (6x -9) inches
Given that the perimeter is 83 inches,
6x -9= 83
6x= 83 +9 <em>(</em><em>+</em><em>9</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
6x= 92

Answer:
90
Step-by-step explanation:
The step is 90×10=100
Answer:
20%
Step-by-step explanation:
15 over 75 equals x over 100. 15 × 100 over 75 equals 75x over 75. 1500 ÷ 75 is 20. (Hard to explain like this. sorry if you couldn't understand)
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as
..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)

so Y =
so the two solution are (
)
A system of the equation of a parabola and a linear equation
Let equation of Parabola be 
and linear equation y = x
substitute

Y = 0,1
so the two solutions will be (0,0) and (1,1)