Answer:
C. 9.5
Step-by-step explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2.
4^2 + 8.6^2 = c^2
16 + 73.96 = c^2
c^2 = 89.96
c = 9.4847....
Answer:
Probability of picking Red ball is 27.5%
Step-by-step explanation:
Given:
Total Number of balls = 200
Number of White balls = 100
Number of Red balls = 55
Number of Black balls = 45
We need to find the probability of the ball picked to be red.
Solution:
Now we know that;
Probability is equal to number of Possible Outcomes divide by total number of Outcomes multiplied by 100.
framing in equation form we get;



Hence Probability of picking Red ball is 27.5%.
Answer:
Step-by-step explanation:
Let A = R−{0}, the set of all nonzero real numbers, and consider the following relations on A × A.
Given that (a,b) R (c,d) if 
Or (a,b) R (c,d) if determinant
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =0](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D0)
a) Reflexive:
We have (a,b) R (a,b) because ab-ab =0 Hence reflexive
b) Symmetric
(a,b) R (c,d) gives ad-bc =0
Or da-cb =0 or cb-da =0 Hence (c,d) R(a,b). Hence symmetric
The y-coordinate is 16
<h3><u>Solution:</u></h3>
Given that a line with slope 3 passes through point (0, 10)
To find the y-coordinate of the point on the line with x-coordinate 2
Which means the point is (2, y)
Let us find the required y co-ordinate using slope formula
<em><u>The slope of line is given as:</u></em>
For a line containing points
and
is given as:


Given that slope "m" = 3
Substituting the values we get,

Thus the y-coordinate is 16
The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Step-by-step explanation:
Given points are:
(-3,-1) =(x1,y1)
(-6,3)=(x2,y2)
The slope-intercept form of equation of line is:

We have to find the slope first
Putting the value of slope in the slope intercept form

To find the value of b, putting the point (-3,-1) in the equation

Putting the values of b and m

The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Keywords: Equation of line, slope intercept form
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