Answer:
52
Step-by-step explanation:
We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

We want to isolate the variable, so subtract 7 from both sides. This gives us:

Finally, we divide both sides by 3, giving:

So the teacher is 52 years old.
Hope this helps!
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Equation would be b = 14m
Answer:
Infinitely many solutions
Step-by-step explanation:
2y=14-2x
y=-x+7
------------
2(-x+7)=14-2x
-2x+14=14-2x
-2x-(-2x)=14-14
-2x+2x=0
0=0
infinitely many solutions
When parentheses are around a number being squared, the output value will always be positive.
For example: -2² vs (-2)²
-2² means the <em>negative of the square of two</em>, or -4
(-2)² means the <u /><em>square of negative two</em>, or 4
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