Answer:
Step-by-step explanation:
Bring the like terms together
5x + 22 - 6x -23 = 5x - 6x + 22 -23 {now, add/subtract the like terms}
= -x -1
Answer:
yes
Step-by-step explanation:
3x - 6y = -2
-6y = -3x - 2, divide through by -1
6y = 3x + 2, divide through by 6
y = 3x/6 + 2/6
y = x/2 + 1/3
Answer:
281
Step-by-step explanation:
plug y value into expression
86(32) + 25 - 78(32)
pemdas says we must multiply first
2752 + 25 - 2496
2777 - 2496
281
Answer:
Step-by-step explanation:
We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:
Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:
5^2 = 3^2 + x^2
x = 4
The radius is 4 + 1 cm = 5 cm
So the area of the circle is A = pi*r^2
A = 3.14 * (5)^2
A = 25pi cm^2
To solve for the area of the shaded region:
Ashaded = Acircle - Atriangles
we need to solve for the area of the triangles:
A = 1/2 *b*h
A = 1/2 *6 * 5
A = 15 cm^2
Atriangles = 2 * 15
Atriangles = 30 cm^2
Ashaded = 25pi - 30
