Hello!
Firstly, we need to know what the slope-intercept form is. Slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.
Our goal here is to find the y-intercept. To find b, we will substitute the slope and the given ordered pair into the slope-intercept equation and solve algebraically.
y = mx + b (substitute the slope and point P)
2 = 2(8) + b (multiply)
2 = 16 + b (subtract 16 from both sides)
b = -14
Therefore, the equation is y = 2x - 14.
Answer:
200
Step-by-step explanation:
First, we can expand the fraction into:
200*199*198*197.........*3*2*1/199*198*197*196......*3*2*1
We can cancel every number from 199 until 1 that only leaves 200 in the numerator so 200 is definetly 200
Solve by substitution. We begin by manipulating the second equation (solving for y).
2x+3y=13
4x-y=-2 => -y=-4x-2 => y=4x+2
Now substitute "4x+2" for y into the first equation because y=4x+2.
2x+3y=13 becomes 2x+3(4x+2)=13
Now solve for x.
2x+3(4x+2)=13
2x+12x+6=13
14x=7
x=1/2
Now we can solve for y because we know what x is.
y=4x+2 => y=4(1/2)+2 = y=4
answer: x=1/2, y=4, intersection point (1/2,4)
Modelling the ramp as right-angle triangle, we have the following diagram (attached)
We'll use one of the trigonometry ratios to find the elevation angle
We have the side that is adjacent to x° = 12 feet and the side that is opposite to x° = 3 feet, we will use the tan ratio
tan x° = opposite side / adjacent side
tan x° = 3/12
tan x° = 0.25
x° = tan⁻¹ (0.25)
x° = 14.03624347 ≈ 14°
Answer: A