Answer:
d) the slope of f(x) is greater than the slope of g(x)
Step-by-step explanation:
to find the slope of an equation, you look at its rise/run. for f(x), you can see that from one point (0, 3) to another (1, 1) it goes down 2 values (3 - 1) and over 1 value (0 + 1). because it goes down 2 values, the rise is -2, and because it moves to the side 1 value positively, the run is +1.
-2/+1 = -2. this means the slope of f(x) = -2.
finally, it says the slope of g(x) = -6, and -2 > -6. i hope this helps! :)
#1 is true. The term they have in common is y with an invisible coefficient in-front of the second y term
#2 has zero like terms. 15 has no variable, and the other terms have different variables.
#3 has two like terms, that’s 9 and 8 which add to equal 17. The answer is 3x + 17 aka D.
#4 has two like terms, the numbers with the variable ‘n’. 4n + 7n = 11n. Your answer is 11n + 12 aka D
<h2>
The area of the quadrilateral is
units.</h2>
Step-by-step explanation:
The given four sides of quadrilateral = (2, 4), (3, 5), (4, 6) and (5,8)
To find, the area of the quadrilateral = ?
We know that,
The area of quadrilateral ![=\dfrac{1}{2} [x_{1}( y_{2}-y_{3})+x_{2}( y_{3}-y_{4})+x_{3}( y_{4}-y_{1})+x_{4}( y_{1}-y_{2})]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%20%5Bx_%7B1%7D%28%20y_%7B2%7D-y_%7B3%7D%29%2Bx_%7B2%7D%28%20y_%7B3%7D-y_%7B4%7D%29%2Bx_%7B3%7D%28%20y_%7B4%7D-y_%7B1%7D%29%2Bx_%7B4%7D%28%20y_%7B1%7D-y_%7B2%7D%29%5D)
![=\dfrac{1}{2} [2( 5-6)+3( 6-8)+4( 8-4)+5(4-5)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%20%5B2%28%205-6%29%2B3%28%206-8%29%2B4%28%208-4%29%2B5%284-5%29%5D)
![=\dfrac{1}{2} [2(-1)+3(-2)+4(4)+5(-1)]](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%20%5B2%28-1%29%2B3%28-2%29%2B4%284%29%2B5%28-1%29%5D)
![=\dfrac{1}{2} (-2-6+16-5)](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%20%28-2-6%2B16-5%29)
![=\dfrac{1}{2} (16-13)](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B2%7D%20%2816-13%29)
=
units
Thus, the area of the quadrilateral is
units.
Answer: 8.404
Step-by-step explanation:
Answer:
x = 29
Step-by-step explanation:
Added together equals to 180 degrees. Write out the equation:
x + 35 + 4x = 180
5x + 35 = 180 (Add the x together)
5x = 145 (Minus both sides by 35)
x = 29