Answer:
4224
Step-by-step explanation:
Here, we want to calculate the sum of the first 44 digits
Term a which is first digit is 10
common difference which is difference of terms = 14-10 = 18-14 = 4
Now the nth term of an arithmetic sequence is
a + (n-1)d
44th term means n = 44
10 + (44-1)4
10 + 43(4)
10 + 172 = 182
To find the sum, we use the formula
Sn = n/2[a + L]
where a is the first term and L is the 44th term
Sn = 44/2 (10 + 182)
Sn = 22(192)
Sn = 4,224
Expad the expression:
4096x^(6)-18432x^(5)+34560x^(4)-34560x^(3)+19440x^(2)-5832x-729
Answer:
y = + 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = = 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 =
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
=
=
y - 4 = x - 2
y = x + 2
Answer:
y= -2x+2.
Step-by-step explanation:
1) according to the condition interception is '2' (point (0;2));
2) slope is: (2+4)/(0-3)= -2;
3) finally the required equation is: y=-2x+2.
P.S. the suggested option is not the only one.