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3 years ago

What is 105/32 as a mixed number

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

7 0

Answer:

3 9/32

Step-by-step explanation:

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Answer the following:

jonny [76]

Answer:

As the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

Step-by-step explanation:

Given the equations

$-3x+y=-4$

$x+3y=6$

The slope-intercept form of the equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Writing both equations in the slope-intercept form

$-3x+y=-4$

$y=3x-4$

So by comparing with the slope-intercept form we can observe that

slope of equation = 3

i.e.

$m_1=3$

also

$x + 3y = 6$

$3y\:=\:6-x$

$y=-\frac{1}{3}x+2$

So by comparing with the slope-intercept form we can observe that

the slope of equation = -1/3

i.e.

$m_2=-\frac{1}{3}$

The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

The slope $m_2$ is the negative reciprocal of the slope $\:m_1$

Also, the product of two perpendicular lines is -1.

i.e.

$m_1\times m_2=-1$

VERIFICATION:

It is clear that the product of the slop of both lines is -1.

$m_1\times m_2=-1$

$3\times \frac{-1}{3}=-1$

Therefore, the given equations are perpendicular.

6 0

3 years ago

Goofy Golf ticket prices for kids under 12 years of age increased from $4.00 to $6.00 this year. What is the percent of increase

Dmitry [639]

There is a 50% increase in the two values.

5 0

3 years ago

Read 2 more answers

What is the solution of the equation −x2 − 2x = 5?

Rainbow [258]

Answer:

No Real Solutions

Step-by-step explanation:

3 0

3 years ago

What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 101010 degrees Celsius?

Elis [28]

Answer:

181850

Step-by-step explanation:181850

(101010°C × 9/5) + 32 = 181850°F

7 0

3 years ago

PLEASE HELP WILL MARK BRAINIEST <br> -see attachment-

TiliK225 [7]

Answer:

f(x) and g(x) are inverses

Step-by-step explanation:

* Lets check the inverse function

- If f(x) = y has a domain = x and a range = y, then f^-1 is the

inverse of f with a domain = y and a range = x

- f(x) = f^-1(x) = x

* Now lets solve the problem

∵ f(x) = 8/x

∵ g(x) = 8/x

∴ fg(x) = f(8/x)

∴ fg(x) = 8/(8/x) = 8 ÷ 8/x ⇒ change division sign to the multiplication

sign and reciprocal the fraction after the division sign

∴ fg(x) = 8 × x/8 = x

* Now lets find gf(x)

∴ gf(x) = g(8/x)

∴ gf(x) = 8/(8/x) = 8 ÷ 8/x

∴ gf(x) = 8 × x/8 = x

∵ f(x) = f^-1(x) = x

* fg(x) = gf(x) = x

∴ f(x) and g(x) are inverses

4 0

3 years ago