Answer:$ 6,014.52
Step-by-step explanation:
The function appears to be L(legos) = T(tower)^3
L = T^3
This checks out for t =1,2,3,4
The 100th tower would have 100^3 legos.
100^3 = 1,000,000.
The 100th tower would have 1 million cubes
Answer:
-2
Step-by-step explanation:
The equation of the line is written in y=mx+c form, where m is the gradient and c is the y-intercept.
In this case, your m is a -2 and your c is a -3.
Hence the gradient of the line is -2.
Answer:
Parallel Slope: -3 Perpendicular Slope: 1/3
Step-by-step explanation:
First, solve for y to get the simplified equation for the line.
Once you solve, the equation should be y=-3x+2
Seeing this, we know that the slope of this line is -3. A line parallel will have the same slope as the original equation, and a line perpendicular will have a slope that is the opposite reciprocal.
Hope that helps!
Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.
