9514 1404 393
Answer:
√145 ≈ 12.04
Step-by-step explanation:
The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:
d² = a² +b² +c² = 6² +3² +10² = 145
d = √145 ≈ 12.04 . . . inches
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The face diagonal is found using the Pythagorean theorem in the usual way:
f² = a² + b²
The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:
d² = f² +c²
d² = a² +b² +c²
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Here is a diagram.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point slope form is

we have


substitute

The easiest way to graph a line is to calculate the intercepts
The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero
For y=0



The x-intercept is the point (-6,0)
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
For x=0




The y-intercept is the point (0,1.5)
Plot the intercepts and join the points to graph the line
(-6,0) and (0,1.5)
The graph in the attached figure
Answer:

Step-by-step explanation:

Answer:
a. No
b. Yes
c. No
d. Yes
e. Yes
Step-by-step explanation:
3(x+2) simplified is equal to (3)x+(3)2 which is simplified to 3x+6.
a. 3x+2 is not the same as 3x+6 so it is false.
b. 3(2+x) is simplified to (3)2+3(x) which is simplified to 6+3x or 3x+6 which is equal to 3x+6 so it is true.
c. 3x+2x is simplified to 5x which is not equal to 3x+6 so it is false.
d. x+2x+2+4 is simplified to 3x+6 which is equal to 3x+6 so it is true.
e. x+x+x+1+1+1+1+1+1 is simplified to 3x+6 which is equal to 3x+6 so it is true.
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