The point-slope form:

m - slope
(x₁, y₁) - point
The formula of a slope:

We have the points (7, 5) and (-4, -1). Substitute:


Hannah(h) is the older sibling and their ages are conservative odd interferes. this means that anthony’s age will be 2 less then hannah the sum of these would be h+(h-2) giving us the equation of 92. combining like terms we would have the first correct choice of 2h-2=92
Answer:
1) x= -2
2) x= 3
3) x=7
4) x>5
5) x=-14
Step-by-step explanation:
1) −3x − 3 −7x = 17
−10x−3=17
−10x=17+3
−10x=20
x= -20/10
x=-2
2) 10x − 6 = 24
10x=24+6
10x=30
x= 30/10
x= 3
3) −4−5x=−39
−5x=−39+4
−5x=−35
x=-35/-5
x= 7
4) 3x - 5 > 10
3x>10+5
3x>15
x>15/3
x>5
5) -5 + x + 16 = -3
x+11=−3
x=−3−11
x=-14
Using the probability (conditional) formula, where P is equals to the number of favorable outcomes over the total number of outcomes. Calculating using five and the thirty percent, 1.5 is the answer. But that cannot be the answer.
So we look for the probability using this formula derived from the original, (total outcomes) x (percentage) = (favorable outcomes), 5x=2. That gives us the answer of 0.4 or 40%.
Answer: The central angle measures 135 degrees
Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.
So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.
Length of an arc = X/360 x 2pi x radius
Substituting for the known values, our formula can now be re-written as
9pi/2 = X/360 x 2pi x6
By cross multiplication we now have
9pi/2pi x 6 = 2X/360
We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,
9/12 = X/180
Simplify even further and we have
3/4 = X/180
By cross multiplication we now have
(3 x 180)/4 = X
540/4 = X
135 = X
Therefore the central angle that intercepts the arc measures 135 degrees.