A line and a point outside the line define a unique plane. In other words, there is a single plane that contains a line and a point outside the line. If you are given line XY and point C outside the line, there is a single plane containing both line XY and point C. Therefore, line XY and point C must lie in the same plane.

4 0

3 years ago

!!!!!!!!!I AM CRYINGGGG!!!!!! PLZZZZ

andrey2020 [161]

Answer:

-x^2-2x-3

Step-by-step explanation:

Question 1: Just substitute in the values of f(x) and g(x) and simplify!

f(x) - g(x) = 4x^2-5x+3-(5x^2-3x+6)
f(x)-g(x) = 4x^2-5x+3-5x^2+3x-6
f(x)-g(x) = -x^2-2x-3

Tell me if this helps, and if you still need number 2 or if you can do it by yourself! (Hint: substituting also plays a role in question number 2.)

Hope this helps!!

6 0

3 years ago

Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expr

Strike441 [17]

Option E

The expression show how much pizza Marcus ate in total is:

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Solution:

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Monday\ night = \frac{1}{2}\\$

Remaining is given as:

$Remaining = 1 - \frac{1}{2} = \frac{1}{2}$

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Tuesday = \frac{1}{3} \times \frac{1}{2}$

Thus expressions show how much pizza Marcus ate in total is:

Total = monday night + tuesday

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Thus Option E is correct

3 0

3 years ago