Evaluate C(7, 5).
21
42
1,008
Answers
Answer:
21
Step-by-step explanation:
This is a combination of 7 objects taken 5 at a time
nCr = n! / r! * (n - r)!
7C5 = 7! / (5! (7-5)!)
= 7! /(5! 2!)
= (7*6*5*4*3*2*1)
-----------------------
5*4*3*2*1 * 2*1
Canceling
= 7*6/ (2*1)
= 21
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Parallel
Perpendicular
They intersect at an angle other than 90 degrees
Answers
Answer:
Perpendicular
Step-by-step explanation:
Here, we want to know the relationship between the two lines .
The easiest way to go about this is to get their slopes;
Mathematically, the equation of a straight line can be expressed in the form;
y = mx + c
where m is the slope;
Hence;
2x -5y = 10
Isolating the y part
5y = 2x -10
divide through by 5
y = 2/5x - 2
So the slope here is 2/5
for the second line
10x + 4y = 20
Divide by 2 all through
5x + 2y = 10
Isolate y
2y = 10-5x
Divide by 2 again
y = 5 -5/2x
The slope here is -5/2
What do we notice? we can see that if we multiply the two slopes by each other, we get -1
That is;
2/5 * -5/2 = -1
What this means is that both lines are perpendicular.
This is because the slopes of perpendicular lines, when multiplied by each other = -1
Final answer:
The two given lines, 2x - 5y = 10 and 10x + 4y = 20, intersect at an angle other than 90 degrees. We determined this by finding the slope of each line and seeing that they are neither equal (for parallel lines) nor negative reciprocals (for perpendicular lines).
Explanation:
To determine the relationship between the lines 2x - 5y = 10 and 10x + 4y = 20, we need to analyze their slopes. Both equations can be rewritten in slope-intercept form (y = mx + b) to determine their slopes. The first equation becomes y = (2/5)x - 2, and the second equation becomes y = (-10/4)x + 5.
The slopes of the two lines are m1 = 2/5 and m2 = -10/4. Since the slopes are different, the lines are not parallel. To determine if they are perpendicular, we need to check if their slopes are negative reciprocals.
The product of the slopes is (2/5)(-10/4) = -4/5. Since the product is not -1, the lines are not perpendicular. Therefore, the correct relationship is that the lines intersect at an angle other than 90 degrees.
Learn more about Relationship between two lines here:
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Answers
Answer:
6 cubic centimeters = 0.202884 ounces
Step-by-step explanation:
We have 1 fluid ounce = 29.57353 cubic centimeter.
That is
1 cubic centimeter
Here we are asked to convert 6 cubic centimeters to fluid ounces.
6 cubic centimeters = 6 x 0.03381402 = 0.202884 ounces
if (1, y) is on the graph, then y =
Answers
Answer:Y=6
Step-by-step explanation:
Y=-x+7
For -x put 1 for the -x
So y=-1+7
Y=6
Answers
Answer:
The scientific notation of billion is
Step-by-step explanation:
Given: billion
As per question,
we have to express billion in scientific notation.
As we know that,
A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power.
Example: written as
.
Now, In scentific notation of
Hence, billion in scientific notation is
.
For more information:
Answers
Answers
Answer:
17.9 degrees
Step-by-step explanation:
tangent x= 3.2/9.9
tangent x= 0.323
x=tan^-1(0.323)
x=17.9 degrees