Answer:
No, the maximum height that the balloon can reach is 9ft.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.
Vertex form: f (x) = a(x - h) 2 + k
Where:
- (h, k) is the vertex of the parabola-
- h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).
- k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).
In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.
So, the maximum height that the balloon can reach is k=9ft.
9 ∠ 12
The balloon will not hit the ceiling 12 ft above the pool.
Feel free to ask for more if needed or if you did not understand something.
<h3>Answer: Choice D</h3>
4x - 3y = 15
====================================================
Explanation:
The two points (-1,-1) and (2,3) are marked on the line
Let's find the slope of the line through those two points.
The slope is 4/3 meaning we go up 4 and to the right 3.
-------------
Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.
Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.
Equation A has a slope of -3/4 and not 4/3 like we want.
Therefore, this answer choice is crossed off the list.
Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.
- slope of equation B is 3/4
- slope of equation C is -4/3
- slope of equation D is 4/3
We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.
You can use graphing tools like Desmos or GeoGebra to confirm the answer.
Answer: The area is 201.06
Answer:
6
Step-by-step explanation:
So, to start answering this, lets recall the formula for a rectangles volume:
This formula is :
V=h*w*l
Lets plug in what we know, and solve for the missing variable.
We know that height(h) is 7.
We know that width(w) is 9.
We know that volume(V) is 378.
We are missing length(l)
So:
378=7*9*l
To find length(l), we must iscolate it.
To do this, we must get rid of the 7 and 9.
So lets start by dividing 378 by 9:
378/9=7*9/9*l
=
42=7*l
Now lets do the same thing with the 7 to iscolate l:
42/7=7/7*l
=
6=l
So our missing length(l) is 6.
Answer:
l = 6
Hope this helps!
Answer:
A rectangle.
Step-by-step explanation:
The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section parallel to the base would be a rectangle as the base is a rectangle as well.
I hope this helps and if you can please mark brainliest.
