Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Part 2) Find the length of DE
substitute the value of x
Answer:
It's F
Step-by-step explanation:
You can see on the graph that 2 lines cross at (-3;4) so this is the point where the 2 equations have the same outcome/ value.
Answer:
x=1/4
y = -2
(1/4, -2)
b
Step-by-step explanation:
4x -y =3
y =-8x
substitute y =-8x into the first equation. Everywhere you see y put 8x
4x -y =3
4x - (-8x) =3
4x+8x=3
combine like terms
12x = 3
divide by 12
12x/12x = 3 /12
x = 1/4
now we need to find y
y = -8x
y = -8 * 1/4
y = -2
Answer:
The garden is 9 feet wide and 26 feet long.
Step-by-step explanation:
L = W+17
area = LW = 234
(W+17)W = 234
W²+17W-234 = 0
Quadratic formula
W = [-17 ± √(17² – 4·1(-234))] / [2·1]
= [-17 ± √1225] / 2
= [-17 ± 35] /2
= -26, 9
-26 is an extraneous solution
W = 9
L = W+17 = 26
The garden is 9 feet wide and 26 feet long.
