Given:
Triangle Point coordinates or vertices:
A(16,0)
B(9,2)
C(2,0)
Required:
Side with slope -2/7
Solution:
To know which side has the slope required, we need to calculate the slope of each paired point by the two-point slope formula:
m = (y2-y1)/(x2-x1)
We first try points A and B.
m1 = (2-0)/(9-16)
m1 = -2/7
Thus, the side with the slope -2/7 is side AB.
Answer:
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
Step-by-step explanation:
Given equations are:
There are three methods to solve simultaneous equations
- Elimination
- Substitution
- Co-efficient method
We will use the elimination method as the coefficients of x in both equations are already same
Subtracting equation 2 from equation 1
Putting y = 3 in equation 2
Hence,
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
To determine the length of time it would took for the biker to cool down, we need the rate that would relate the distance he traveled to cool down per units of time. For this problem, the rate is given as 0.25 miles per minute. So, we simply divide the total distance he traveled with this rate. We calculate as follows:
time to cool down = distance / rate
time to cool down = 35 miles / 0.25 miles / minute
time to cool down = 140 minutes or 2 hrs and 20 minutes
Therefore, the biker would need to cool down for about 2 hrs and 20 minutes if he traveled for 35 miles.
Answer:
$21.55
Step-by-step explanation:
21.50 + 44.95 + 12 = $78.45
100 - 78.45= $21.55
Answer: A 15/100
Step-by-step explanation:
1. Convert 17/20 into percents
2. You get 85% Which is how much of her homework she has completed
3. To find what she has left subtract 85 from 100
4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete
