Answer:
1,750 building blocks.
Step-by-step explanation:
In order to find the solution to this question, you must use multiplication.
If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.
You should get 1,750 as your final answer.
Answer:
(2,3)
Step-by-step explanation:
Circle: x^2+y^2=121=11^2 => circle with radius 11 and centred on origin.
g(x)=-2x+12 (from given table, find slope and y-intercept)
We can see from the graphics that g(x) will be almost tangent to the circle at (0,11), and that both intersection points will be at x>=11.
To show that this is the case,
substitute g(x) into the circle
x^2+(-2x+12)^2=121
x^2+4x^2-2*2*12x+144-121=0
5x^2-48x+23=0
Solve using the quadratic formula,
x=(48 ± √ (48^2-4*5*23) )/10
=0.5058 or 9.0942
So both solutions are real and both have positive x-values.
A reflection over the x-axis
Answer:
-3
Step-by-step explanation:
The average rate of change from point (x1, y1) to point (x2, y2) is given by ...
m = (y2 -y1)/(x2 -x1)
For the given points, this is ...
m = (2 -14)/(6 -2) = -12/4 = -3
The average rate of change on the interval is -3.
