Answer:
Coordinates of the new library is (150, 70)
Step-by-step explanation:
To get the shortest possible distance means that line from point T to point R has to be perpendicular.
Now, the equation of R is given as;
y = x - 80 - - - (1)
For T to be perpendicular, it means it will have a slope equal to the negative reciprocal of line R.
Thus, slope of T is -1/1 = - 1
Thus, using line - slope intercept of y = mx + c, we can find equation of T as;
140 = -1(80) + c
140 = -80 + c
c = 140 + 80
c = 220
Thus, equation is;
y = -x + 220 - - - (eq 2)
Adding equation 1 to equation 2,we have;
y + y = 220 - 80
2y = 140
y = 140/2
y = 70
Putting 70 for y in eq 1 gives;
70 = x - 80
x = 70 + 80
x = 150
Thus;
Coordinate of the new library is (150, 70)
Answer:
C. 5
Step-by-step explanation:
Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:
distance formula:
d = √(x2 - x1)^2 + (y2 - y1)^2
d = √(2 - 2)^2 + (-1 - 4)^2
d = √(0)^2 + (-5)^2
d = √0 + 25
d = √25
d = 5
3x-y=6, in order to be able to graph this you would have to change the equation to y=, so you need to subtract 3x from that side making it -y=-3x+6, now you need to y positive, so divide both sides by -1, thus making the equation look like y=3x-6, now if you can't plug this into a calculator to see what it would look like then you need to know what y=mx+b means. y is the equation you want to graph obviously, m = the slope, so our slope in this case would be -3, and b = our y intercept, so it would be (0,-6), so plot (0,-6) and use the slope to plot the rest of the points, some other points in this line should include (2,0), (-1,-9) and (4,6), just to name a few. Hope this helps.
<span>Karen got an average of 0.444 hits out of 45 bats.
We need to find the number of hits did Karen got.
=> 45 bats all in all
=> 0.444 average hits
x = how many hit did she get
Now, let’s multiply the total bats to Karen’s average hit:
=> 45 x 0.444 …. (repeating decimals)
=> 20
Therefore, Karen hit 20 times out of 45 bats
Let’s check our answer:
=> 20 / 45
=> 0.44444…. (repeating decimals)
</span>
