Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
Short Answer f(x) down 5 units, left 2 units and right side up from g(x)
Step OneFind out what -g(x+2) is.
There are two steps to this. The first is to deal with the minus sign
(g(x)) = - x^2 + 5. Be very careful what you do next.
Put brackets around both terms on the right.
g(x) = (-x^2 + 5) Now put the minus sign in front of g(x) and another one in front of the brackets.
-g(x) = - (-x^2 + 5) Remove the brackets.
-g(x) = x^2 - 5
<em>Result</em>
So far g(x) moves down 5 units and opens upward.
Step TwoThe second step is to see what the x + 2 does.
-g(x + 2) = (x + 2)^2 - 5
The final result is that the graph opens upward, moves left 2 spaces and down 5.
There is a graph enclosed to show you the key steps.
The red graph is g(x) = x^2 - 5
The blue graph is g(x+2) = (x+2)^2 - 5
Your answer for your question is going to be.... um.... sorry I forgot
We know that
<span>82 is an integer, a whole number, a natural number, and a rational number (since 82 = 82/1)
</span><span>So
82 belongs to the set of integers, set of whole numbers, set of natural numbers, and the set of rational numbers</span>