Answer:
Area of living room
= 20(x+5)
= 20x +100
Area of dining room= 20x
Total area
= 20x +100 +20x
= 40x +100
Total perimeter (after wall is removed)
= 2(20) + 2( x+x+5)
= 40 + 2(2x+5)
= 40 +4x +10 (expand)
= 4x +50 (simplify)
Step-by-step explanation:
Area of rectangle= length × breadth
Shown in the graph
<h2>
Explanation:</h2>
Using graph tools we can graph the function:

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:


Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it
) will be:

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

<h2>
Learn more:</h2>
Cubic function: brainly.com/question/13773618#
#LearnWithBrainly
Answer:
Option C, both functions have an y-intersect equal to 2.
Step-by-step explanation:
When we have a function f(x), the y-intercept is the value f(0). This is the point where the graph of the function intersects the y-axis.
Then, for f(x) = -x^2 + 5*x + 2
The y-intercept is:
f(0) = -0^2 + 5*0 + 2 = 2
f(0) = 2
And for g(x) we do not have the equation, but we have the graph, so we can just look at which value of y does the graph intersects the y-axis.
We can see that the graph intersects the graph at y = 2
Then the y-intersect is: g(0) = 2
So both functions have the same y-intersect. Then the correct option is C.
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°