Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
(2, 8)
Step-by-step explanation:
There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:
-3x + 2(3x + 2) = 10 and
-3x + 6x + 4 = 10 and
3x + 4 = 10 and
3x = 6 so
x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:
y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)
Denominator:
so excluded values are x = -1 and x = 1.
Answer D.
Answer:
30.96 m²
Step-by-step explanation:
In white there are four parts of a circle, so we can split the 12 m in half to show the radius, and then solve to find the area of the full circle.
A = r²
a = (6)²
a = (36)
a = 113.04
Then you find the area of the whole box.
12 x 12 = 144
Then you subtract the area of the circle in white from the area of the whole box.
144 - 113.04 = 30.96 m²
So that’s the area of the shaded region.
If there's a total of 20 students and 40% love the museum. 20 * .40 = 8 students love the museum.
