PLZ HELP ASAP>>>>>>>Select all that apply. Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible. -square
-circle
-pentagon
-trapezoid
-triangle
-rectangle
Answers
A circle.
Explanation:
Since a cube has no curved faces, a plane will not be able to intersect a cube in such a way to create a cross section with any curves. This eliminates circle.
A square is created when a cube is intersected by a plane parallel to its base.
A pentagon is created when a cube is intersected by a plane in all but 1 face.
A trapezoid is created when a cube is intersected by a plane in 2 pairs of opposite faces, at an angle.
A triangle is created when a cube is intersected by a plane in 3 adjacent faces.
A rectangle is created when a cube is intersected by a plane in 2 pairs of opposite faces.
Answer:
Step-by-step explanation:
circle, octagon
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Write the ratio in its simplest form using the colon. 24 blue cars out of 48 cars.
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The given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
Given that,
A color printer will print 8 pages per minute how many minutes will it take to print a report that has 136 pages is to be determined.
What is the rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
rate of printing = 8 pages / minute
Now, for the printing of 136 pages,
Time = 136 / 8 = 17 minutes
Thus, the given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
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Answers
and the point P(-3,6) and then answer the following questions:
a. How would you find the line (B) that passes through point P and is perpendicular to line A? What is the equation of that line?
b. How would you find the length of the segment of line B from point P to line A?
c. How would you find the midpoint between point P and the intersection of line A and line B ?
Answers
Answer:
- y = -6/5x +12/5
- distance from P to A: (66√61)/61 ≈ 8.4504
- midpoint: (-18/61, 168/61) ≈ (-0.2951, 2.7541)
Step-by-step explanation:
a. The slope of the perpendicular line is the negative reciprocal of the slope of the given line, so is ...
m = -1/(5/6) = -6/5
Then the point-slope form of the desired line through (-3, 6) can be written as ...
y = m(x -h) +k . . . . . line with slope m through (h, k)
y = (-6/5)(x +3) +6
y = -6/5x +12/5 . . . equation of line B
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b. The distance from point P to the intersection point (X) can be found from the formula for the distance from a point to a line.
When the line's equation is written in general form, ax+by+c=0, the distance from point (x, y) to the line is ...
d = |ax +by +c|/√(a² +b²)
The equation of line A can be written in general form as ...
y = 5/6x -5/2
6y = 5x -15
5x -6y -15 = 0
Then the distance from P to the line is ...
d = |5(-3) -6(6) -15|/√(5² +(-6)²) = 66/√61
The length of segment PX is (66√61)/61.
__
c. To find the midpoint, we need to know the point of intersection, X. We find that by solving the simultaneous equations ...
y = 5/6x -5/2
y = -6/5x +12/5
Equating y-values gives ...
5/6x -5/2 = -6/5x +12/5
Adding 6/5x +5/2 gives ...
x(5/6+6/5) = 12/5 +5/2
x(61/30) = 49/10
x = (49/10)(30/61) = 147/61
y = 5/6(147/61) -5/2 = -30/61
Then the point of intersection of the lines is X = (147/61, -30/61).
So, the midpoint of PX is ...
M = (P +X)/2
M = ((-3, 6) +(147/61, -30/61))/2
M = (-18/61, 168/61)
Final answer:
To find line B perpendicular to line A and pass through point P, calculate the negative reciprocal of line A's slope and use it in the line equation along with point P coordinates to find c. The segment length from point P to line A is calculated using the distance formula and involves finding the intersection point between lines A and B. The midpoint is calculated using the midpoint formula.
Explanation:
To answer this question, we need to understand that two lines are perpendicular if the product of their slopes is -1. Line A has a slope of 5/6. Therefore, the slope of line B, perpendicular to line A, is -6/5 (the negative reciprocal). The equation of a line is y = mx + c where m is the slope and c is the y-intercept. As line B passes through point P(-3,6), we can substitute these values into the line equation y = -6/5x + c to solve for c. This will give us the equation of line B.
To find the length of the segment from point P to Line A, we would first need to find the intersection point of Line A and B. Then use the distance formula, which is sqrt[(x2-x1)^2 + (y2-y1)^2].
The midpoint of two points, (x1,y1) and (x2,y2) is given by ((x1+x2)/2, (y1+y2)/2). This formula can be used to find the midpoint between point P and the intersection of line A and line B.
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3x = 6 (Subtraction)
x = 2
Give a reason for the last step in the argument shown.
A)
addition
B)
division
C)
subtraction
D)
multiplication
Answers
Answer: The correct answer is B) division.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
3(x + 4) = 18 (Given)
3x + 12 = 18 (Distributive Property)
3x = 6 (Subtraction)
x = 2
To obtain the result, in the last step we have to divide both sides by 3.
Mathematically speaking:
3x÷3 = 6÷3
x =2
So, the correct answer is B) division.
Feel free to ask for more if it´s necessary or if you did not understand something.