Answer:
Step-by-step explanation:
<em>The question in English is</em>
If 4x= 5/6y then 5y=
we have
Solve for 5y
Multiply both sides by 6
Simplify
Rewrite
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : 
- 1 = 
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 : 
- 1 = 
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
Answer:
perimeter-
perimeter outer rectangle = 2 (l+b)
=2×8+9
= 2×17
2×17 =34 cm sq.
perimeter of inner rectangle = 2 (l+b)
= 2×5+3
=2× 8
= 16 cm sq.
perimeter of shaded portion= 34 - 16
= 18 cm sq.
area-
<em>area</em><em> </em><em>of</em><em> </em><em> </em><em>inner</em><em> </em> rectangle =l×b
l×b = 3×5
3×5=15
15 cm sq.
area of outer rectangle =l×b
l×b= 9×8
9×8= 72
72 cm sq.
area of shaded portion = 72 -15 =57 cm sq.
hey there! In second method i have done first area of inner rectangle but you have to do first area of outer rectangle...
hope it helps you....
Answer:
SHEEESH
Step-by-step explanation:
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Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
