Let width = w then we have the equation:-
w(w + 12) = 448
w^2 + 12w - 448 = 0
(w - 16)(w + 28) = 0
w = 16
Answer: the dimensions of the window are width 16 by height 28 inches
Check the picture below.
now, recall, both blades are congruent, thus a = b, so c² = a² + b² -> c² = b² + b².
Answer:
1. Substitute y = -3x +4 for y in the first equation
2. Combine like terms and isolate x
3. Substitute in x into the 2nd equation to get y
Step-by-step explanation:
1. Substitute y = -3x +4 for y in the first equation
2x- (-3x+4) = 6
2. Combine like terms
5x -4 = 6
5x -4 +4 = 6+4
5x=10 Divide by 5 to isolate x
5x/5 =10/5
x=2
3. Substitute in x into the 2nd equation to get y
y = -3x +4
y = -3(2) +4
y = -6+4
y=-2
(2,-2)
Let's look at each answer choice's words per minute:
A) 320/8 = 40
B) 600/12 = 50
C) 350/10 = 35
D) 225/5 = 45
The fastest is 50 words/min which is B
