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2 years ago

The absolute value of a number is added to the original number. Kayla says the sum is always 0. Is she correct? Why

1 answer:

5 0

The absolute value of a number is its distance from 0. The absolute value of -4 is 4, the absolute value of 4 is 4.
-4 + 4 is 0, so she's right there; but 4, + its absolute value, 4, is 8. This means that Kayla is incorrect.

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Find the difference.<br><br> (−x2+9xy)−(x2+6xy−8y2)

VLD [36.1K]

Answer:

-2 $x^{2}$ +3xy+8 $y^{2}$

Step-by-step explanation:

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3 years ago

Write each fraction as an expression using a negative exponent other than -1: 1/1024

raketka [301]

Answer: 2^-10
Do you need an explanation?

6 0

2 years ago

Katherine went to Hibbet sports and spent $125.50 on a pair of shoes and $12.25

Sergio039 [100]

Answer:

1. $137.75

3. $149.15

Step-by-step explanation:

12.25+125.50=137.75

3. 8.25% of 137.75= 11.4

137.75+11.4=149.15

3 0

2 years ago

Read 2 more answers

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

2 years ago

What is the slope of the line (9,-6) and (-6- -9)?

Vlada [557]

Answer:

1/5

Step-by-step explanation:

Slope formula = (y2-y1)/(x2-x1)

((-6)- (-9))/ ((9)-(-6)

(-6 + 9)/ (9 + 6)

3/15

1/5

6 0

3 years ago

Read 2 more answers