Answer: First Question: True
Second Question: False
Third Question: False
Step-by-step explanation:
Based on the equations in the image, I used the substitution method.
In what ab represents in geometry algebra etc
V=LWH=20
L is 5 more than W
V=5+W
H is 1 less than W
H=-1+W
easy, sub 5+W for L and -1+W for H in LWH=V=20
20=(5+W)(W)(-1+W)
expand
20=W^3+4W^2-5W
minus 20 both sides
W^3+4W^2-5W-20=0
either factor or graph to find the possible values for W
(W+4)(W^2-5)=0
set each to zero
W+4=0
W=-4
impossible, measures cannot be negative
W^2-5=0
add 5
W^2=5
sqrt both sides
W=√5
sub back
L=5+W
L=5+√5
aprox
7.24 rounded
H=-1+W
H=-1+√5
aprox
1.24 rounded
the dimentions are
√5 by (5+√5) by (-1+√5) or aprox
2.24in by 7.24in by 1.24in
Answer:
(1,5)
Step-by-step explanation:
The solution to the system of equations is where the two graphs intersect.
The two lines intersect at x=1 and y =5
The point of intersection is (1,5)