Answer:
2x - 3y = -1
Step-by-step explanation:
Standard form: Ax + By = C
Given: slope = 2/3 and passes through the point (1,1)
Point slope form: y - y1 = m(x - x1)
Plug in
y - 1 = 2/3(x - 1)
Multiply both sides by 3
3(y - 1) = 2(x -1)
Distributive property
3y - 3 = 2x - 2
Since standard form: Ax + By = C so you can re-write the equation:
2x - 2 = 3y - 3
Subtract 3y from both sides
2x - 3y = -3
Add 2 to both sides
2x - 3y = -1
Answer in standard form: 2x - 3y = -1
Answer:
170.67 cm^3
Step-by-step explanation:
The volume is given by ...
V = 1/3s²h
We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...
V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³
_____
We have to assume that the given answer choices include a typo.
an example would be: 9x+5m/2=24
because the variables are x and m
the numbers are 9, 5, 2, and 24
and the operation symbols are +, /, and =
Answer:
4.5 ft
Step-by-step explanation:
Let us assume the height of the taller brother be x
And, the height of the shorter brother be y
Now according to the question
x + y = 10.33
x - y = 0.833
Now solve these two equations
2x = 11.666
x = 5.833
y = 10.33 - 5.83
= 4.5 ft
Length of shorter piece is 13 ft
Length of longer piece is 61 - 13 => 48 ft