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3 years ago

12

6x^+4(x^-1) simply this question

1 answer:

antiseptic1488 [7]3 years ago

8 0

1. when you see 4(x² - 1), then you have to multiply 4 with everything in the bracket. keep in mind that you always have to be cautious of the sign whether it is a positive or a negative.

positive ×/÷ positive = positive
negative ×/÷ negative = positive
positive ×/÷ negative = negative
negative ×/÷ positive = negative

^ you have to remember this.

2. only like terms (same alphabet) can plus or minus each other.

3. simplify by taking out the common factor and placing it outside the bracket. though, keep in mind that you also have to divide the terms inside the bracket by the common factor.

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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,

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

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

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

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

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

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

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

4 0

2 years ago

Evaluate the expression shown below and write your answer as a fraction in simplest form. 1 - 5 ———————- 1 1 — + —- 12 8

koban [17]

Answer:

9/14

Step-by-step explanation:

The question is not clear enough. Here is a similar question as shown in the attachment

Given the expression

-3/2 ÷ -7/3

= -3/2 ×-3/7

= (-3*-3)/(2*7)

= 9/14

Hence the equivalent result expressed as a fraction is 9/14

4 0

2 years ago

Solve equation\<br><br> PLS HELP!!!

yuradex [85]

Answer:

$\frac{dy}{dx} = \frac{ - x + 2}{y - 6}$

answer

6 0

3 years ago

4x^2-y^2-4x-2y=0<br>please

lukranit [14]

Answer:

0

Step-by-step explanation:

If you multiply anything by zero, it would be zero.

6 0

3 years ago

HELPPPPP. I’ve spent like 20 minutes on this already pleaseeee

alexandr402 [8]

Answer:

x=126

x-30=96

Step-by-step explanation:

(x-30) +(x-30) + (x-30) + x + x =540

5x-90=540

5x=630

x=126

5 0

2 years ago