Answer:
Step-by-step explanation:
The shape of this graph is that of a parabola. In this case the parabola opens down. The general form of the equation of such a parabola is
y = a(x - h)^2 + k, where (h, k) is the vertex and a is a coefficient to be determined.
In this particular case we can obtain the coordinates of the vertex (h, k) from the graph. They are (3, 4). Thus, h = 3 and k = 4. The graph goes through (1.5, 0). Use this information to determine the value of the coefficient a:
Then the equation of this parabola must be y = a(x - 3)^2 + 4.
0 = a(1.5 - 3)^2 + 4
Then:
0 = a(-1.5)^2 + 4, or
0 = 2.25a + 4, or
2.25a = -4, or
a = 16/9
Thus, the final result: The equation of this parabola is
y = (16/9)(x - 3)^2 + 4
whose graph is a parabola that opens down and has vertex (3, 4).
When multiplying the same base with exponents, you keep the base the same and then you add the exponents, so for this question you do:
10^3 x 10^6
10^9
The answer is FG = GI
Both of the lines formed by these points equal the same distance, which is 3 units.
5 teachers and 10 tutors because we can make a proportion:
3/75=x/120, and when you cross multiply and solve for x you will get 4.8, but there can't be 4.8 teachers so we can say 5 teachers (round). Do the same for tutors: 6/72=x/120, x would equal 10.
Hope this helps!
Answer:
52 cubic units
Step-by-step explanation:
1. Divide the shape into 2 parts:
The first one: a 2 by 4 by 6 rectangular prism.
The second one: a 1 by 4 by 1 rectangular prism.
2. Find the volumes of the prisms.
2*4*6=48
1*4*1=4
3. Add the two volumes
48+4=52 cubic units (or units^3)
