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3 years ago

The difference of the square of a number and 28 is equal to 3 times that number

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

${x}^{2} - 28 = 3x \\ {x}^{2} - 3x - 28 = 0 \\ {x}^{2} - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x = - 4 \\$

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If we solve h(x) = 36, one of the possible values of x is 1

Mademuasel [1]

Answer:

Step-by-step explanation:

(x+5)² = 36

x+ 5 = ±√36 = ±6

x = -5 ±6 = 1, -11

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3 years ago

Which function has a greater rate of change

kati45 [8]

Answer:

A has a rate of change of -5 and is greater than Bs -4.5

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3 years ago

Mr. Bryan's class has 60 students. 1 4 of the students stay for tutoring on Monday. If Mr. Bryan equally divides the students th

exis [7]

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Step-by-step explanation:

You have to divided by 5 but you will get 2.8. But if you round it it will come out to be 3.

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3 years ago

Read 2 more answers

A series of three? separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers. Each

Nadya [2.5K]

Answer:

$312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$

Step-by-step explanation:

We have been given that a series of 3 separate, adjacent tunnels is constructed through a mountain. Its length is approximately 25 kilometers.

Each of the three tunnels is shaped like a half-cylinder with a radius of 5 meters.

Since we know that volume of a semicircular or a half cylinder is half the volume of a circular cylinder.

$\text{Volume of a semicircular cylinder}=\frac{\pi r^2h}{2}$ , where,

r = Radius of cylinder,

h = height of the cylinder.

Upon substituting our given values in volume formula we will get,

$\text{Volume of a semicircular cylinder}=\frac{\pi (5\text{ km})^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*25\text{ km}^2*25\text{ km}}{2}$

$\text{Volume of a semicircular cylinder}=\frac{\pi*625\text{ km}^3}{2}$

$\text{Volume of a semicircular cylinder}=\pi*312.5\text{ km}^3$

$\text{Volume of a semicircular cylinder}=981.74770\text{ km}^3$

Therefore, the volume of earth removed to build the three tunnels is $312.5\pi \text{ km}^3\approx 981.75\text{ km}^3$ .

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3 years ago

Which measurements could create more than one triangle?

lapo4ka [179]

Answer:

Step-by-step explanation:

The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.

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2 years ago