Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 5/3, so the parallel line's slope is also 5/3
y = 5/3x + b
To find "b", plug in the point (3,6) into the equation
y = 5/3x + b
6 = 5/3(3) + b
6 = 5 + b
1 = b
y = 5/3x + 1
Answer:
32.5
Step-by-step explanation:
23x6÷4-2 and that's how you get your answer
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
Well according to the Inscribed Angle Theorem, the angle inscribed in a circle is equal to one-half of its intercepted arc. We can apply that theorem to this problem as well. So the measure of AED = 1/2( arc AD + arc BC). Plug in the numbers and simplify.
AED = 1/2( 62 + 28)
AED = 1/2( 90 )
AED = 45
So the measure of angle AED is B. 45 degrees.
Hope I helped!
Answer:
A) y=3x+1
Step-by-step explanation:
Use the formula y=mx+b
m is the slope and b is the y intercept
the graph starts on 1 on the y axis so you replace 1 for b
the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.
