Answer:
<h2>8 feet</h2>
Step-by-step explanation:
The formula of a volume of a square pyramid:

s - base length
H - height
We have the volume V = 32 ft³ and the base length s = 4 ft.
Substitute and solve for H:

The value of y from the diagram is 9
<h3>Similar shapes</h3>
From the given figure, the shapes are similar, using the similarity theorem of triangles, you ill have;
6/10 = y/15
Cross multiply
10y = 15* 10
10y = 90
y = 90/10
y = 9
Hence the value of y from the diagram is 9
Learn more on similar shapes here: brainly.com/question/2644832
Answer:
2/12
Step-by-step explanation:
4w=2/3
1/4(4w)=1/4 x 2/3
w=2/12
Answer:
f(x)=4x(x-3)
Vertex=3/2, -9
Step-by-step explanation:
First, factorize it.
That is equal to 4x(x-3)
Therefore, x intercepts are 0 and 3, as at least one of them need to be 0.
To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2
Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.
The vertex will by 3/2, -9
Answer:
3
Step-by-step explanation:
For it to be a linear function, then it obeys the general form of a liner equation which is y = mx + c
Where m represents the slope and c represents the y intercept
Now let’s take the last point on the table;
and substitute the values of x and y;
we have;
10 = 2m + c. ••••••••(i)
let’s take the second to the last;
7 = m + c ••••••••••(ii)
So let’s solve both equations simultaneously
Just subtract second from first directly
This gives m = 3