Find slope
slope betwen 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
first make denoms same
denom is 10
(4/5,1/5) turns to (8/10,2/10)
(1/2,3/2) turns to (5/10,15/10)
slope=(15/10-2/10)/(5/10-8/10)=(13/10)/(-3/10)=13/-3=-13/3
use point slope
use (4/5,1/5)
y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y-1/5=-13/3(x-4/5)
expand
wait, we don't need to do that, the only one with slope -13/3 is D
answer is D
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
Answer:
50 batches
Step-by-step explanation:
A bag of flour = 5 pounds of flour
A batch of cookies = 0.10 pounds of flour
How many batches can be made with the 5-pound bag?
Batch of cookies in 5 pounds of flour = Total pounds of flour / flour needed per batch of cookies
= 5 pounds / 0.10 pounds
= 50 batches of cookies
50 batches of cookies can be made with 5 pounds of flour
9514 1404 393
Answer:
108
Step-by-step explanation:
The circumference of a circle is given by ...
C = 2πr
The circle shown has a radius of 9 in, so the circumference is ...
C = 2π(9 in) = 18π in
__
When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...
dilated C = 6(18π in) = 108π in
The multiplier of π inches is n = 108.
Answer:
y= -3 + 2x
Step-by-step explanation:
