Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
The slope between two points


As the point-slope form is

substituting the values m = -9/10 and (8, -4)

Writing the line equation in the slope-intercept form

where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:


subtract 4 from both sides


Therefore, the equation in the slope-intercept form will be:

You could do this with a simple proportion.
24/2.94 = 58/x
x = 2.94 * 58/24
x = 7.11
Answer: 42 cm3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.