Does the point (-2, -5) satisfy the equation y = x − -3?

Mathematics

2 answers:

Fed [463]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

To determine if (- 2, - 5) is a solution to the equation.

Substitute x = - 2 into the right side of the equation and if the value obtained is equal to the y- coordinate of the point then it is a solution.

y = - 2 - 3 = - 5 ← hence (- 2, - 5) is a solution to the equation

Verizon [17]2 years ago

4 0

No because (-2, -5) is negative and the y coordinate needs to be positive.

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The city council plans to build a new water storage tank for the community. The tank is cylindrical with a base diameter of 25 f

Stella [2.4K]

Answer:

a. $14726.216ft^{3}$

b. $110446.62gal$

Step-by-step explanation:

I attach the diagram of the new water tank.

a. In order to find the volume of the tank in cubic feet, we will need to calculate the volume of a cylinder. We know that its base measures $25ft$ and its height is $30ft$ .

The volume ''V'' of a cylinder is :

$V=(\frac{\pi D^{2}}{4}).(H)$

Where '' $D$ '' is the diameter of the base and '' $H$ '' is the height of the cylinder.

If we replace all the data in the equation :

$V=\frac{\pi .(25ft)^{2}}{4}.(30ft)=14726.216ft^{3}$

We found out that the volume of the tank in cubic feet is $14726.216ft^{3}$

b. We know that 1 cubic foot of water is equal to 7.5 gallons. To find the amount of gallons that the new tank can hold, we need to do an unit conversion.

This equivalence is given to us :

$1ft^{3}=7.5gal$ ⇒ Using the equivalence ⇒