Answer:
(2, - 2 )
Step-by-step explanation:
y = - 3 + x → (1)
3x + 2y = 2 → (2)
Substitute y = - 3 + x into (2)
3x + 2(- 3 + x) = 2 ← distribute parenthesis and simplify left side
3x - 6 + x = 2
4x - 6 = 2 ( add 6 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Substitute x = 2 into (1)
y = - 3 + (2) = - 3 + 1 = - 2
solution is (2, - 2 )
Answer:
3 metres
Step-by-step explanation:
Let the width of the pathway be x
Area: (9+2x)(4+2x)
36 + 8x + 18x + 4x²
4x² + 26x + 36
Increased area is 150:
4x² + 26x + 36 = 150
4x² + 26x - 114 = 0
2x² + 13x - 57 = 0
2x² + 19x - 6x - 57 = 0
x(2x + 19) - 3(2x + 19) = 0
(x - 3)(2x + 19) = 0
x = 3, x = -19/2
Answer: x<-1/4
Step-by-step explanation:
Given
-3/x<12
Multiply x on both sides
-3/x · x<12 · x
-3<12x
Divide 12 on both sides
-3 / 12 < 12x / 12
<h2>-1/4<x</h2>
Answer:
18 π cm^2.
Step-by-step explanation:
The area of the whole circle = π r^2 = 81π cm^2.
Since there are 360 degrees in a circle the area of the shaded region =
80/360 * area of the circle.
This = 80/360 * 81 π
= 2/9 * 81 π
= 18 π