First, you want to find the slope of the line. You do this by taking the difference in the heights divided by the difference of the time.
m=(20-12)/(5-3)
m=8/2
m=4
Now plug the information into slope intercept form (you can choose whichever set of data you want, just as long as you are consistent):
y=mx+b
12=(4)(3)+b
12=12+b
b=0
This is saying that there is no y-intercept (b).
So our final equation is:
y=4x
The question is asking for y when x is 1, so just plug it into the equation:
y=4(1)
y=4
Hope this helps!
Answer:
The distance across the lake from A to B = 690.7 ft
Step-by-step explanation:
Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such that
∠CAB=46.5∘. He also measures CA as 312 ft and CB as 527 ft. Find the distance between A and B.
Given
A = 46.5°
a = 527 ft
b = 312 ft
To find; c = ?
Using the sine rule
[a/sin A] = [b/sin B] = [c/sin C]
We first obtain angle B, that is, ∠ABC
[a/sin A] = [b/sin B]
[527/sin 46.5°] = [312/sin B]
sin B = 0.4294
B = 25.43°
Note that: The sum of angles in a triangle = 180°
A + B + C = 180°
46.5° + 25.43° + C = 108.07°
C = 108.07°
We then solve for c now,
[b/sin B] = [c/sin C]
[312/sin 25.43°] = [c/sin 108.07°]
c = 690.745 ft
Hope this Helps!!!
Calculate the area of the circle= pir^2
= 254,5 cm x height (20)
=45804,42 cm^3
She needs to have 4 hours a week for the next 7 weeks.
To make this true we know need 4x, x as for week (time).
We also need to have it done with 7 weeks, so we will need 7 weeks x 7 days which would be 49 days total.
Now to put it together,4(x) and place the number of weeks to get the total number of hours. Example on week 7 hour number of hours she played is (4*7)=28 hours total.
f(x) = 4x + 14 is the function.
14 is from the first week. Therefore, that's the function of the total hours she played.
The first one to the left is:
Alternate Exterior.
The second one on top is:
None of these.
The bottom one to the left is:
Corresponding.
The bottom right is:
Alternate Interior.
I hope this helps!
~kaikers