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:
C
Step-by-step explanation:
Because of all the variables in the side lengths, we don't have enough information to use side-angle-side similarity.
We do have two angles of one triangle congruent to two corresponding angles of the other triangle, so we can use angle-angle similarity.
Sides AE and AD are corresponding sides. Sides AC and AB are corresponding.
Answer: C
Https://youtu.be/3y1U0sntOsI
Answer:
Option B.
Step-by-step explanation:
The given table of values is
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We need to find the interval for which the function f(x) is positive.
From the given table it is clear that the value of function f(x) is negative before -2 and after 1.
The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).
Therefore, he correct option is B.
Answer:
the equation is : x²-x-12
Step-by-step explanation:
the quadratic equation is in the form of : y=ax²+bx+c
the product of the zeros is -12 and the sum is 1
b = - 1
c=-12 (product)
y=x²-x-12
check : factorize first (x+3)(x-4)=0
either x+3=0 then x=-3
or x-4=0 then x=4
-3*4=-12
-3+4=1
the equation is : x²-x-12
