When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2),
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point.
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10
use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)
use the same method to find the coordinates of D.
the answer I've got for D is (58/9, -2) please double check my calculation.
Answer:
100
Step-by-step explanation:
The function takes in an X value and produces a Y value.
The Y value equals 24 times the X value plus 4 more.
This means that:
Y = 24X + 4
When the X value equals 4, the Y value will be:
Y = 24(4) + 4
Y = 96 + 4
Y = 100
When the X value is 4, the Y value is 100.
Rotation is a type of transformation refered to a in which the shape of the original object is preserved and the angle of rotation is constanf for all the parts of the body.
Thus, when <span>ΔDEF rotates 90° clockwise about point A to create ΔD 'E 'F.
</span><span>m∠EAE ' = m∠FAF '</span>
Answer:
Step-by-step explanation:
Just divide the larger mass by the smaller.
0.5 / 0.005 = 0.5 / 0.5 * 10^-2 = 1 * 10^2 = 100
It take 100 ants to equal the mass of a grasshopper.
