Hey!
So we are given that the two lines (the one you are trying to find and the other one whose equation you have been given) are perpendicular. This means that their slopes are the negative reciprocal of each other. Since the slope of the line you have been given is -3 the slope of the line that you need to find is 1/3. Using this and the point we have been given we can find the y-intercept.
-4 = (1/3)(7) + b
-4 = 7/3 + b
-19/3 = b
Since we know both the slope and the y-intercept we can write out equation:
y = (1/3)x - 19/3
The value is 55 over 200 million
Answer:
The answer 192 ft^3
Step-by-step explanation:
This is because volume is length times width times height. Therefore, multiplying those three numbers gets you 192.
Answer:
575
Step-by-step explanation:
___ ___ ___ ___
The first one must be C, so there is one possible answer for the first slot.
The second one will be B F J K or S, which is 5 possible answers.
The 3rd will be A E I O or U, which is also 5.
The fourth will be the alphabet minus the already used letters, and since none of the letters have a possibility of repeating, it is 26 - 3 = 23
1 * 5 * 5 * 23 = 575
Answer:
(x, y) = (- 2, 5)
Step-by-step explanation:
given the 2 equations
3y = 11 - 2x → (1)
3x = y - 11 → (2)
Rearrange (2) expressing y in terms of x
add 11 to both sides
y = 3x + 11 → (3)
Substitute y = 3x + 11 into (1)
3(3x + 11) = 11 - 2x
9x + 33 = 11 - 2x ( add 2x to both sides )
11x + 33 = 11 ( subtract 33 from both sides )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 in (3) for corresponding value of y
y = (3 × - 2) + 11 = - 6 + 11 = 5
As a check
substitute x = - 2, y = 5 into (1) and (2) and if the left side equals the right side then these values are the solution.
(1) : left side = (3 × 5) = 15
right side = 11 - (2 × - 2) = 11 + 4 = 15 ⇒ left = right
(2) : left side = (3 × - 2 ) = - 6
right side = 5 - 11 = - 6 ⇒ left = right
solution = (- 2, 5 )
