4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
(4,4)736472i would help but i jus points to do my homework lol
Answer:
<u>Oliver and Lenny reached the top of the hill at the same time</u>
<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.
Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.
2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?
Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:
Speed = Distance/Time
Time = Distance/Speed
Oliver = Time of hiking first 5 km + Time of hiking second 5 km
Lenny = Time of hiking first 5 km + Time of hiking second 5 km
Oliver = 5/5 + 5/4
Oliver = 1 + 5/4 = 2 1/4 hours
Lenny = 5/4 + 5/5
Lenny = 5/4 + 1 = 2 1/4 hours
<u>Oliver and Lenny reached the top of the hill at the same time</u>
<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>
Alex defeated Griffin by 2 feet and 5 inches. 2.5
How to solve: 35.4 - 32.9 = 2.5 :))
