Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
Answer:
Concept: Modeling expressions
- We are given the equation
- We want to find the time after 0.75 seconds given that t is represented in seconds.
- Hence we do
- Hence we get the answer to 191 feet
Given:
The radius of inner circle = 13 yd.
The width of the shaded region = 8 yd
To find the area of the shaded region.
Now,
The radius of the outer circle = 13+8 yd = 21 yd
Formula
The area of a circle of radius r unit is sq unit.
where, = The area of the shaded region
= Area of the outer region
= Area of the inner region
Now,
sq yd
And,
sq yd
Therefore,
sq yd
sq yd
Hence,
The area of the shaded region 854.08 sq yd.
9514 1404 393
Answer:
A, D
Step-by-step explanation:
Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.
The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...