Answer:
Step-by-step explanation:
The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.
Thus 35 - 9x becomes . We add a constant C for any possible constant that was eliminated during differentiation.
Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map:
Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map:
We can conclude that each inch the map represents 0.5 miles of walking distance.
Answer:
<h3><u>x = 18</u></h3>
Explanation:
- Line E B C Needs To Equal 180°
3x + 5 + 3x + 4 + 3x + 9 = 180
- Simplify Both Sides Of The Equation
(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
- Subtract 18 From Both Sides
9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
<h3><u>x = 18</u></h3>
Answer:
The value of v is 6° and the value of w is 15°
Step-by-step explanation:
we know that
When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure
so
5v=2w -----> equation A
10w+5v=180 ----> equation B
substitute equation A in equation B and solve for w
10w+(2w)=180
12w=180
w=15°
Find the value of v
5v=2w -----> v=2w/5
v=2(15)/5=6°
therefore
The value of v is 6° and the value of w is 15°
