Two segments drawn on the diagram that are perpendicular are OR and RQ
<h3>Properties of a right rectangular prism</h3>
The properties of a right rectangular prism include;
- The angles between the base and the sides are right angles
- All its faces are rectangles
- Each corner of the prism represents a right angle.
- Each base and top of the prism are congruent
Note that a right rectangular prism has bases that are perpendicular to its lateral faces, that is, they meet at right angles.
From the image, we can see that the following segments are perpendicular;
Thus, two segments drawn on the diagram that are perpendicular are OR and RQ
Learn more about right rectangular prisms here:
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Answer:
C
Step-by-step explanation:
Angle 1 and angle 4 sit on the same straight line which means
<1 + <4 = 180
We are given that <4 = 105 degrees. So the equation above becomes.
<1 + 105 = 180 Subtract 105 from both sides
<1 = 180 - 105
<1 = 75
Answer:
The graph is attached below
Step-by-step explanation:
The function has three asymptotes. Before we can graph the function, we can find them.
Vertical asymptotes in the values that make the denominator zero.
The denominator becomes zero in:
![x = -2\\x = 1\\](https://tex.z-dn.net/?f=x%20%3D%20-2%5C%5Cx%20%3D%201%5C%5C)
Then the vertical asymptotes are the lines
![x = -2\\x = 1\\](https://tex.z-dn.net/?f=x%20%3D%20-2%5C%5Cx%20%3D%201%5C%5C)
The horizontal asymptote is found using limits
![\lim_{x\to \infty}\frac{(2x+3)(x-6)}{(x+2)(x-1)}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5Cinfty%7D%5Cfrac%7B%282x%2B3%29%28x-6%29%7D%7B%28x%2B2%29%28x-1%29%7D)
Then:
![\lim_{x\to \infty}\frac{(2x^2-12x +3x -18)}{x^2-x+2x-2}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5Cinfty%7D%5Cfrac%7B%282x%5E2-12x%20%2B3x%20-18%29%7D%7Bx%5E2-x%2B2x-2%7D)
We divide the numerator and the denominator between the term of greatest exponent, which in this case is ![x ^ 2](https://tex.z-dn.net/?f=x%20%5E%202)
The terms of least exponent tend to 0
![\lim_{x\to \infty}\frac{(2\frac{x^2}{x^2}-0 +0 -0)}{\frac{x^2}{x^2}-0+0-0}\\\\\lim_{x\to \infty}\frac{2}{1} = 2\\\\](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%20%5Cinfty%7D%5Cfrac%7B%282%5Cfrac%7Bx%5E2%7D%7Bx%5E2%7D-0%20%2B0%20-0%29%7D%7B%5Cfrac%7Bx%5E2%7D%7Bx%5E2%7D-0%2B0-0%7D%5C%5C%5C%5C%5Clim_%7Bx%5Cto%20%5Cinfty%7D%5Cfrac%7B2%7D%7B1%7D%20%3D%202%5C%5C%5C%5C)
The function has a horizontal asymptote on y = 2 and has no oblique asymptote
The graph is attached below
Change both fractions, so they have the same denomater
4 1/5= 4 4/20
3/4= 15/20
change the mixed number into an improper fraction
84/20Subtract 15 from 84
84-15=69
so you get 69/20
Hope this helped :)
Y = 8x + 12
if x = -6
y = 8(-6) + 12
y = -48 + 12
y = - 36
if y = 13
13 = 8x + 12
13-12 = 8x
8x = 1
x = ¹/₈ ≈ 0.125