Answer:
40 miles
Step-by-step explanation:
Let's set <em>x</em> to the number of miles driven, and <em>t</em> to the number of hours it took to drive.
We know that 40<em>t</em> is equal to <em>x</em>.
We also know that 40<em>t</em> is equal to 30(<em>t</em> + 1/3).
Solve for t:
40t = 30(t+1/3)
40t = 30t + 10
Subtract 30t from both sides:
10t = 10
Divide 10 from both sides:
t = 1
40t = 40 x 1 = 40 miles
tan = opposite/hypotenyse
for B, this is 24/25
24/25 = 0.96
Answer:
The y-intercept is (0, -6).
Step-by-step explanation:
The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.
To find the slope of line j, you would use the slope formula:
.
- Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for
and 1 for
. Substitute -3 for
and 4 for
. 
- The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.
To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).
- Point-slope form is

- Substitute 1 for
, 1 for m, and 7 for
. 
- Simplify: y - 1 = 1(x - 7)
- Distribute 1 inside the parentheses.
- y - 1 = x - 7
- Add 1 to both sides of the equation.
- y = x - 6
The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.
- y = (0) - 6
- Subtract 0 - 6.
- y = -6
A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).
The answer would be C.
-1 has more than one output.
hope this is correct,, have a nice day :))
Volume of the rectangular prism = l * w * h
Diagonal = √l² + w² + h²
= √ 16² + 12² + 8²
= √464
= 21.5