The values of y are 1 and 3
What is distance formula -
x1 and y1 are x and y coordinates of a point.
similarly x2 and y2 are x and y coordinates of another point.
Explanation with steps -
As point P is equidistant from Q and R, the distances PQ and PR should be the same.
So, calculate distance PQ can be calculated from the above formula
The distance PQ is 
now use this distance to calculate the unkown 'y'
Squaring both sides
50 = 49 + 
On factorizing,
Thus we get values of y to be 1 or 3
To see more about distance formula
refer : brainly.com/question/1872885
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Answer:
Step-by-step explanation:
<u>Slope-intercept </u><u>form</u>
y= mx +c, where m is the gradient and c is the y-intercept.
Gradient
Substitute the value of the gradient into the equation:
To find the value of the y-intercept, substitute a pair of coordinates.
When x= -1, y= -8,
Thus the equation of the line is 
.
Answer:
10
3.59
6 7/12
Step-by-step explanation:
4 - (-6)
= 4+ 6 ( because when we multiply the negative sign with the negative sign we get a positive sign or a plus sign)
= 10
-2.5 + 6.1 -10.3 - (-7.79) -4 + 6 1/2
= -2.5 + 6.1 -10.3 +7.79 -4 + 6.5 [ (-*-=+) ( converting 6 1/2 into decimal = 6.5)]
= 6.1+7.79+ 6.5 -2.5 -10.3-4 { adding the + numbers and - numbers separately}
= 20.39 - 16.8 { subtracting the totals of + and - numbers}
= 3.59
8 5/6 + (-2 1/4)
= 53/6 - 9/4 { Converting into improper fractions}
= 53( 2) - 9(3)/12 { Taking LCM = 12}
= 106-27/12
= 79/12
= 6 7/12
{ Converting into improper fractions and vice versa}
- we multiply the denominator with the whole number and add it to the numerator to get the improper fraction.( 8 5/6= 53/6)
- we divide the numerator with the denominator the answer gives the whole number and the remainder gives the numerator of the proper fraction. ( 79/12 = 6 7/12)
{ Taking LCM = 12}
Factors of 6 are 3 and <u>2</u>
Factors of 4 are 2 and <u>2</u>
Least Common Multiple is taking the common factors and multiplying it with the rest . 2 is common in both . It will be taken once and then multiplied with the other 2 and 3 so we get
LCM = 2*2*3= 12
Answer:
12 3/5
Step-by-step explanation:
What can be said about the convergence or divergence of the following series? summation n=0 to infinite (-1)^n Cn9^n
Answer:
The series diverges
Step-by-step explanation:
Given.
The center of convergence of the series, ΣCnx^n = 0 (for n = 0 to ∞)
The interval of the convergence is of the form (-k,k)
One or both the end points may be included in the intervals of convergence.
Also, given that the series diverges when x = 7; this implies that the interval of convergence is smaller than {-7,7}
The series
Σ(-1)^n Cn9^n (for n = 0 to ∞)
= Σ Cn(-9)^n (for n = 0 to ∞)
This is obtained after substituting -9 for x in ΣCnx^n = 0
So, x = -9
This is outside the boundary {-7,7}.
Hence, the given series diverges
