Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
Answer:
Step-by-step explanation:
1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.
1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.
The answer for your question question is 3+ 16/3 i
Answer:
(y - 6) = 3/5(x - 5)
Step-by-step explanation:
First, let's look at what point-slope form is: (y - y₁) = m(x - x₁)
Let's plug in the vallues we know.
m is the slope: 3/5
x₁ is 5
y₁ is 6
Therefore:
(y - 6) = 3/5(x - 5)
This is your equation.
Hope this helps!
Answer:
r = 7.7
Step-by-step explanation:
A = πr²
60π = πr²
r² = 60π/π
r² = 60
r = 7.746
Rounded to tenths:
7.7
