Answer:
(-2, 2)
Step-by-step explanation:
<u>Given:</u>
- Point A is at (2, -8) and point C is at (-4, 7)
<u>Difference of coordinates:</u>
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
<u>The ratio of AB to AC is 2:1. So:</u>
- AB = 2*AC/3 and BC = AC/3
<u>Then coordinates of point B should be 2/3 from the point A:</u>
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90
3 ones = 3
7 hundredths = 7/100
So equivalent fraction is 3 7/100 or 307/100.
Equivalent decimal is: 3.07
Breaking apart means that you just take the tens from each number, and the ones from each number, then add them up.
The tens from your numbers are:
30 from 34
40 from 45
The ones from your numbers are:
4 from 34
5 from 45
Now, you have to add up the tens and ones separately.
30 + 40 = 70
4 + 5 = 9
Finally, you add up those 2 numbers that you got- 70 and 9
The answer: Stephen read for 79 minutes total.
Estimate 189 to the nearest tenth which would be 190. And then do the same for 643 which would be 640. 640-190= 450
