Answer:
- D(5, 4), E(14, 7), M(9.5, 5.5)
Step-by-step explanation:
As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB
<u>Find the coordinates of D:</u>
- x = 1 + 1/4(17 - 1) = 1 + 4 = 5
- y = 5 + 1/4(1 - 5) = 5 - 1 = 4
<u>Find the coordinates of E:</u>
- x = 13 + 1/4(17 - 13) = 13 + 1 = 14
- y = 9 + 1/4(1 - 9) = 9 - 2 = 7
<u>Find the coordinates of the midpoint M of DE:</u>
- x = (5 + 14)/2 = 19/2 = 9.5
- y = (4 + 7)/2 = 11/2 = 5.5
Answer:
see below
Step-by-step explanation:
7. f(x) = mx + b; b acts as the vertical shift moving the graph up if b is positive and down if b is negative.
f(x) = x-2 has shifted the graph of f(x) down 2 units.
g(x) = x + 7 has shifted the graph up 7 units.
If f(x) is changed to g(x) the vertical shift has gone from -2 to + 7 or (7-(-2) = 9 units up
8. f(x) = mx stretches the graph by a factor of m if m > 0 and compresses the graph by a factor of m if 0<m<1
f(x) = 3x stretches the graph by a factor of 3.
g(x) = 1/4x compresses the graph by a factor of 1/4
Answer:.66
Step-by-step explanation:
You divide 8 and 12
Answer:
so the equation is y=-2x-4
Step-by-step explanation:
sub the points in the equation to find the y-intercept
y=x(-2)+b
0=-2(-2)+b
0=4+b
0-4=b
-4=b
Factor the denominators.
Adjust fractions based on LCM.
Denominators are same, so add the fractions.
Expand the numerator.
