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Pilar built a tower by stacking identical layers on top of each other. If her tower used a total of 312 blocks and if the bottom layer has 13 blocks, how tall is her tower? Explain how you know.

The height of the tower = 24 units.

Explanation:

In the question above, we are given the following variables.

The total number of blocks used = 312 blocks

The bottom layer( base of the tower) = 13 blocks

We are to find how tall the tower is = height of the tower = unknown.

The total number of blocks used = Volume of the tower = 312 cubic units(blocks)

Area of the base = number of the blocks used in the bottoms layer = 13 square units( block).

Because blocks are used, we assume that this is a Rectangular based prism

The Volume of a Rectangular based prism = Area of the base × h

312 = 13 × h

h = 312 cubic units ÷ 13 square units.

h = 24 units.

There fore, the height of the tower = 24 units

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: