Answer:
y = (-2/3)x + 5/6
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m". To find the value of "b", you can plug the slope and the values from the point (2, -1/2) into the general equation.
m = -2/3
Point (2, -1/2):
x = 2 and y = -1/2
y = mx + b <----- Slope-intercept form
y = (-2/3)x + b <----- Insert -2/3 in "m"
-1/2 = (-2/3)(2) + b <----- Insert "x" and "y" values from point
-1/2 = -4/3 + b <----- Multiply -2/3 and 2
-3/6 = -8/6 + b <----- Give the fractions common denominators
5/6 = b <----- Add 8/6 to both sides
Thus, the equation of the line is:
y = (-2/3)x + 5/6
Answer:
8
Step-by-step explanation:
Yes the have the same 78° angle . The smaller one should be able to fit inside the larger one.
192 feet
formula 1/2(b*h)n
1/2(6*8)8
1/2(48)8
24*8
192
Answer:
x = 32, ∠A = 132
Step-by-step explanation:
A and B are equal. Set both equations equal to each other.
5x - 18 = 3x + 42
Add 18 to both sides and subtract 3x from both sides.
2x = 60
Divide both sides by 2.
x = 30
Now plug x back in to solve for angle A.
5(30) - 18 = 132