Answer:
1.E
2.H
3.F
4.D
5.A
6.G
7.B
8.C
Step-by-step explanation:
As 27 will always be equal to 27, you can place whatever you want for x and y and the equation would still be satisfied, as it turns out that it doesn't depend on the x or y value.
Therefore, the system has infinite solutions.
Be safe!
Answer:
The side lengths of the triangle, in order, are 11 inches, 60 inches, 61 inches.
Step-by-step explanation:
Let the shorter leg be x, the longer leg, y and the hypotenus, z.
y = 16 + 4x
z = 17 + 4x
By Pythagoras rule,
z^2 = x^2 + y^2
(17+4x)^2 = x^2 + (16+4x)^2
that is,
x^2 - 8x - 33 = 0 (A quadratic equation)
By factorising,
(x+3)(x-11)=0
either x = -3 or x = 11.
But length cannot be negative. Hence, -3 is dicarded.
x = 11 inches
y = 16 + 4x = 60 inches
z = 17 + 4x = 61 inches
A) This one has no solutions because the answer of the equation is 0=-1 which isn't true.
b) 6t-3=3t+6 ==> 3t=9 ==> t=3 This means that this has one solution.
c) 6 (2m-3)-3m=2m-18+m ==> 12m-18=2m-18+m ==> 9m=0 ==> m=0 so this one has no solutions.
d) 10+3y-2=4y-y+8 ==> 8+3y=3y+8 ==> 0=0 ==> Infinitely many solutions.
~Hope I helped!~
