Answer:
100.0 feet
Step-by-step explanation:
For an acute angle in a right triangle, the cotangent function is the ratio of the adjacent side to the opposite side:
cot(16°42') = (distance to goal)/(30 ft)
Multiplying by the denominator, we have ...
(distance to goal) = (30 ft)cot(16°42') = (30 ft)(3.33317) ≈ 100.0 ft
The football is 100.0 feet from the base of the goal.
_____
cot(16°42') = tan(73.3°)
-2x + 3y = 12
x intercept y = 0
-2x = 12
x = -6
y intercept x = 0
3y = 12
y = 4
answer
y intercept (0,4)
x intercept (-6,0)
Here is an example:
3(4x +7)
2( 3 +5) =2( 3 ) = 2 ( 5 )
Answer:
1.slope is 2
2.slope is -3/5
3.slope is 1
4.vertical line slope 0 undefined
5.x=-5
6.horizontal line slope 0 undefined
Step-by-step explanation:
Answer:

Step-by-step explanation:
You can solve this two ways: insert the values into point-slope form and simplify to solve for y, converting it to slope-intercept form, <em>or</em><em> </em>insert the values into slope-intercept form, solve for b, and insert b. We'll do both :)
<em><u>Point-slope form:</u></em>

Where:
is the slope
and
are corresponding coordinate points 
Insert the given values:

Solve for y. Expand the right sie using the distributive property:

Isolate the variable. Subtract 6 from both sides, canceling out the 6 on the left:

<em>OR</em>
<em></em>
<em><u>Slope-intercept form:</u></em>

Where:
is the slope
is the y-intercept
and
are corresponding coordinate points 
Insert the given values:

Simplify the multiplication:

Solve for b. Add 10 to both sides, canceling out the 10 on the right:

The value of b is 4. Insert the appropriate information into the equation. When using slope-intercept form, you don't plug in the coordinate points:

:Done