I am thinking of a rectangle that has the two sides parallel to one another. Set the two functions equal to one another, so
9x-14=7x+4
After a bunch of algebra and math magic, 2x=18 => x=9
So if you just insert 9 into both equations, both will end up with a value of 67, so it ends up looking like a right triangle. Don't do that. Instead, to find the rectangle widths, use 9x-4 (+10 added to intercept) instead, while keeping 7x+4, so that the intercepts match.
LN) 9x-4 = 9(9)-4 = 81-4 = 77
MP) 7(9)+4 = 63+4 = 67
*If you are also looking for the diagonals, use Pythagorean Theorem 77^2+67^2=(hypotenuse)^2*
Answer:
Hi hopefully this helps you!
Step-by-step explanation:
To find the area of a circle you can use the formula A = πr^2
The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5
A = π(1.5)^2
= 7.07
Because this is a semicircle, divide this area by 2
= 3.53429 in^2
Add up the area of this semi circle with the area of the rectangle
A = (3.53429) + (3x4)
= 15.53429 in^2
To find the circumference/ perimeter of a circle use this formula C = 2πR
C = 2π(1.5)
= 9.42478 inches
Again because this is a semicircle, divide by 2
= 9.42478 / 2
= 4.71239 inches
To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom
P = 4.71239 + 4 + 4 + 3
= 15.71239 inches
So the final answer would be
A = 15.53 squared inches
P = 15.71 inches
Hope this helps! Best of luck in your studies <3
Answer:
(4x - 1)(3x - 1).
Step-by-step explanation:
I think you mean 12x^2 - 7x + 1
= 12x^2 - 4x - 3x + 1
= 4x(3x - 1) -- 1(3x - 1)
= (4x - 1)(3x - 1).
A bc i did the test so yeah.
Answer:
The true statement is that the expression is satisfied for n = -2.
Step-by-step explanation:
Given:
To check:
Left hand side = Right-hand side ( for n = -2)
Proof :
For n = -2
Consider Left hand side of the equation given above.
∴ Left hand side = 4n
= 4×(-2) ......................for n = -2
= -8
Consider Right-hand side of the equation given above
∴ Right-hand side = 
Now we get Left hand side equal to Right hand side
i.e. Left hand side = Right hand side
i.e. is true for n = -2
