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3 years ago

which of the following would represent a line in the real world? an airplane a sheet of paper a pencil the internet

Mathematics

2 answers:

Andre45 [30]3 years ago

7 0

Answer:

pencil

Step-by-step explanation:

lubasha [3.4K]3 years ago

3 0

the answer is pencil.

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Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)

Zigmanuir [339]

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

$3x + 2y = 12$

$2y = - 3x + 12$

$y = - \frac{3}{2}x + 6$

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

$m1 \times m2 = - 1$

$- \frac{3}{2} \times m2 = - 1$

$m2 = - 1 \div - \frac{3}{2}$

$m2 = \frac{2}{3}$

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

$y = \frac{2}{3}x + b$

$let \: x = 1,y = 2$

$2 = \frac{2}{3} (1) + b$

$b = 2 - \frac{2}{3}$

$b = \frac{4}{3}$

$y = \frac{2}{3} x + \frac{4}{3}$

5 0

3 years ago

Ella used 3 fourths of lemons to make one half liters of lemonade. If Ella's recipe is for 1 liter of lemonade, how many lemons

erma4kov [3.2K]

Answer:

6 Total lemons

Step-by-step explanation:

1 1/2 lemons per 1 liter of lemonade

1 1/2 times 4

= 6 total lemons

5 0

3 years ago

Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$

7 0

3 years ago

Sketch a graph of an elevator starting on the -2 floor and traveling at +5 floors per second. Label and scale the axes.

masya89 [10]

Make the x axis seconds and y axis floors. Your first point would be at (0,-2), then (1,3), then (2,8) and so on.

You could scale the axes just going by one

3 0

3 years ago

Joanne has a rectangular kitchen that is 10 ft by 15 ft. She decides to increase the length and the width by the same amount (x)

Elodia [21]

Answer:

Step-by-step explanation:

8 0

3 years ago