Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
= 
, substitute values
= 
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
y + 1 = 3x
Step-by-step explanation:
The graphed line is y = 3x - 1
The options given to us are
y + 1 = 3x
y = -3x + 1
y = 3x + 1
y - 3x = -3
Consider the first equation:
y + 1 = 3x
Substitute (0,-1) into the equation:
-1 + 1 = 3(0)
0=0
Substitute (1,2) into the equation:
2+1 = 3(1)
3 = 3
Thus the equation holds true for the given points.
Rearrange the equation
y + 1 = 3x
y = 3x - 1
As it is the same equation which was initially graphed, both of these lines will be same and overlap each other, resulting in infinite number of solution
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (4, 3) and (x₂, y₂ ) = (- 2, - 5)
m = 
= 
=
Answer:
5
Step-by-step explanation:
Answer: A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.
Step-by-step explanation:
Multiply the dimensions given, then select the one that matches Jorge's required 42 in³
5×5×5 = 125
5×4×4 = 80
2×7×3 = 42
6×3×2 = 36
