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2 years ago

I need help on my math

Mathematics

1 answer:

Kruka [31]2 years ago

4 0

Answer:

Step-by-step explanation:

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I need help with this math problem

den301095 [7]

Answer:

1). $\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}$

2). $\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}$

Step-by-step explanation:

In this question we have to write the fractions in the factored form.

Rational expressions are $\frac{2}{x^{2}-x-12 }$ and $\frac{1}{x^{2}-16 }$ .

1). $\frac{2}{x^{2}-x-12 }$

Factored form of the denominator (x² - x - 12) = x² - 4x + 3x - 12

= x(x - 4) + 3(x - 4)

= (x + 3)(x - 4)

Therefore. $\frac{2}{x^{2}-x-12 }=\frac{2}{(x+3)(x-4)}$

2). $\frac{1}{x^{2}-16 }$

Factored form of the denominator (x² - 16) = (x - 4)(x + 4)

[Since (a²- b²) = (a - b)(a + b)]

Therefore, $\frac{1}{x^{2}-16 }=\frac{1}{(x-4)(x+4)}$

8 0

2 years ago

What are some real-life situations in which you can use circumference and<br> area of a circle?

shusha [124]

Answer:

You can be remodeling a pool or maybe a kitchen (like for a island or something)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Simplify 1.25 (-x -4)

maw [93]

Answer:

-1.25x-5

Step-by-step explanation:

5 0

2 years ago

Find the volume of a right circular cone that has a height of 17.1 in and a base with a

padilas [110]

Answer:

Volume of the right circular cone = 1188.79 cubic inches

Step-by-step explanation:

Height of the cone = 17.1 inch

Circumference of the cone= 16.3 inches

Radius = 16.3/2

= 8.15 inch

Volume of the cone is:

$=\pi *r^2*\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Volume of the cone

$=3.14*(8.15*8.15)*\frac{17.1}{3} \\\\=3.14*(8.15*8.15)*5.7\\\\=3.14*66.42*5.7\\\\=3.14*378.59\\\\=1188.79inch^3$

Volume of the right circular cone is 1188.79 cubic inches

4 0

2 years ago

If <img src="https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B2y%7D%7Ba%7D%20" id="TexFormula1" title=" x = \frac{2y}{a} " alt=" x

inessss [21]

$\bf A) \\\\\\ \cfrac{3\left( \frac{2y}{a} \right)}{y}\implies \cfrac{\frac{6y}{a}}{y}\implies \cfrac{6y}{a}\cdot \cfrac{1}{y}\implies \cfrac{6}{a}\quad \otimes \\\\\\ B) \\\\\\ \cfrac{6\left( \frac{2y}{a} \right)}{y}\implies\cfrac{\frac{12y}{a}}{y}\implies \cfrac{12y}{a}\cdot \cfrac{1}{y}\implies \cfrac{12}{a}\quad \otimes \\\\\\ C) \\\\\\ \cfrac{6y}{\left( \frac{2y}{a} \right)}\implies \cfrac{6y}{1}\cdot \cfrac{a}{2y}\implies 3a\quad \otimes$

$\bf D) \\\\\\ \cfrac{12\left( \frac{2y}{a} \right)}{y}\implies \cfrac{\frac{24y}{a}}{y}\implies \cfrac{24y}{a}\cdot \cfrac{1}{y}\implies \cfrac{24}{a}\quad \otimes \\\\\\ E) \\\\\\ \cfrac{12y}{\left( \frac{2y}{a} \right)}\implies \cfrac{12y}{1}\cdot \cfrac{a}{2y}\implies 6a\quad \checkmark$

4 0

3 years ago