Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing.
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.
Check
=====
l = x + 2
l = 6 + 2
l = 8
w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7
l*w = 8*7 = 56. It checks.
If this is the best answer you get, could you consider a Brainly? I need 2 of them to move up.
You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1
Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
The probability of getting the same colour twice is approximately 34%.
Answer:

Step-by-step explanation:
We want to prove algebraically that:

is a parabola.
We use the relations

and

Before we substitute, let us rewrite the equation to get:

Or

Expand :

We now substitute to get:

This means that:

Square:

Expand:




This is a parabola (0,2.5) and turns upside down.