Solving <span>8x-5y=10 for y helps us to identify the y-intercept:
-5y = -8x + 10. Dividing both sides by -5, we get (8/5)x -2. Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).
The equation </span><span>-6x-7y=-6 can be solved for its slope in the same manner.
7y = -6x + 6; then y = (-6/7)x + 6/7. Its slope is -7/6. A line perpendicular to this line has slope equal to the negative reciprocal of -7/6, which is 6/7.
So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
Answer:
The formula for the volume of a prism is V = Bh
where,
B is the base area
h is the height.
Since, the base of the prism is a rectangle, therefore, volume of a rectangular prism = (L * B) * h
Assumptions:
Length, L and Width, B cannot be the same.
1.
h = 4 ft
B = 2 ft
L = 9 ft
2.
h = 4 ft
B = 3 ft
L = 6 ft
3.
h = 6 ft
B = 2 ft
L = 6 ft
4.
h = 2 ft
B = 2 ft
L = 18 ft
Step-by-step explanation:
The answer rounded to the tenths place is 43.8, to the hundredths place is 43.84
Hello there! :)
Answer:
First choice, (x + 2) and (x - 6).
Step-by-step explanation:
To solve for the dimensions, recall that the formula for the volume of a rectangle is:
A = l × w
Simply factor x² -4 - 12. Find two numbers that add up to -4 and multiply into -12.
2, -6 satisfy these conditions. Use these numbers to write this equation in factored form:
(x + 2) (x - 6). Thus, the first option is the correct answer.
Answer:
x ≈ 3.29
Step-by-step explanation:
Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x = 
Decimal Form:
x = 3.29202967
… ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)
