The answer is B. Y= 3/4x-1
27)
Equation of the existing water pipe's line
a) slope, m = rise / run = Δy / Δx = 3/2
b) y-intercept, b = 3
equation: y = mx + b = (3/2)x + 3
Equation of the new water pipe's line
slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3
point (0,2)
=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe
28)
two parallel lines have the same slope =>
slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3
point (4,5) => y - 5 = (4/3) (x - 4)
=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3
y = (4/3)x - 1/3 <--- equation of the new bike path
Answer:
6
Step-by-step explanation:
No exact amount of cookies so if its a large batch we'll say there is 45 cookies 45 divided by 1/3 is 15
So 15 divided by 2 1/2 = 6
So your answer is 6.
Answer:
Step 1:
✔ Cofunction identity
Step 5:
✔ Sine difference identity
Step 6:
✔ Cofunction Identity
Step 7:
✔ Cosine function is even, sine function is odd.
Step-by-step explanation:
An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:
Let a and b be two sides of a triangle and c is the longest side:

So taking your given:

<

100 + 225 <

325 <

To get the smallest possible number, just get the square root of both sides:

<

18.03 < c
So your smallest possible whole number is 19