Answer:
-4(8-3x)>or =6x-8
Step-by-step explanation:
open d bracket
-32+12x >or = 6x-8
collect like terms
12x-6x >or =-8+32
6x = 24
divide both sides by 6
x= 4
Answer:
1 , -4 , 2 + 5i , 2 - 5i
Step-by-step explanation:
g(x) = (x² + 3x - 4)(x² - 4x + 29)
x² + 3x - 4 = (x-1)(X+4) x = 1 or x = -4
roots of x² - 4x + 29 = ax² + bx + c
x = (-b ± √b²-4ac) / 2a
x = (4 ± √16 - 4*29) / 2 = (4±√-100) / 2 = (4±10i)/2 = 2 ± 5i
Answer:
Overlapping triangles are triangles that occupy some of the same space. They share lines or angles! Sometimes it is beneficial to pull the triangles apart and look at them separately in order to use them in math problems. Just like workers' duties can overlap, so can the area of triangles!
In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle
Answer:
(x-5)(x-5)
Step-by-step explanation:
x²-10x+25
(x-5)(x-5)