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
You find a point at the intersection of a plane and line.
Answer
The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.
Step-by-step explanation:
The length of the monkeys rope = 75 feet long
Each side of the hexagon shaped facility = 30 feet
Note that, 1 feet = 0.3048 m
if we convert 30 feet to Meter, we have,
30 × 0.3048 = 9.144
Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building
75 feet × 0.304 meter = 22.86 meters.
So the total area the monkey will be able to cover will be
= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.
Answer: Yes they are right triangles
Explanation:
The square grid markers help us line up the angles to see that angle OBC is a 90 degree angle, and so is angle OB'C'. Any time a vertical and horizontal line meet up is when you have a 90 degree angle. A right triangle is one where it has a 90 degree angle (aka a right angle).
Extra info: it can be shown that triangle OBC is similar to triangle OB'C', which leads to the fact that the triangles are proportional.
Answer:
16 to 35
Step-by-step explanation:
The width accounts for two sides of the fence, so we'll double it. 30 × 2 = 60
Now, to find minimum length subtract 60 from 92 and divide by 2 (for each side).
(92 - 60) ÷ 2 = 16
Do the same for the maximum length, but with 130.
(130 - 60) ÷ 2 = 35
This means the range for the length of the fence is between 16 and 35.