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2 years ago

10x^2+29x-21/6x^2+19x-7

Mathematics

1 answer:

Anastaziya [24]2 years ago

5 0

The answer is 13x^2 + 96x - 14 / 2

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The sum of a number and its square is 182. Find the number.

Mars2501 [29]

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

$\frac{-b+\sqrt{b^2-4ac} }{2a}$ or $\frac{-b-\sqrt{b^2-4ac} }{2a}$

a = 1, b = 1, c = -182

$\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}$ or $\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}$

$\frac{-1+\sqrt{1+728} }{2}$ or $\frac{-1-\sqrt{1+728} }{2}$

$\frac{-1+\sqrt{729} }{2}$ or $\frac{-1-\sqrt{729} }{2}$

$\frac{-1+{27} }{2}$ or $\frac{-1-{27} }{2}$

$\frac{26}{2}$ or $\frac{-28}{2}$

13 or - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

8 0

2 years ago

A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t

Lilit [14]

The answer is 1 over 3(3.14)(5²)(8)

The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).

6 0

3 years ago

Read 2 more answers

List the next four multiples of the unit fraction 1/5,

svetoff [14.1K]

Next multiples of the unit fraction 1/5 are
2/5
3/5
4/5
5/5 = 1

Hope this helps.. :)

6 0

3 years ago

Main Street, State Street, and Birch Avenue intersect to form a right triangle.

ANTONII [103]

Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees

5 0