Find the sum of the sequence 31+32+33+34...+94
1 answer:
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Answer:
<h3>In the attachment.</h3>Step-by-step explanation:
It's the equation of a linear function in a standard form.
Convert to a slope-intercept form y = mx + b:
-5x + 2y = -10 <em>add 5x to both sides</em>
2y = 5x - 10 <em>divide both sides by 2</em>
y = 2.5x - 5
To draw a graph we need only two points.
We choose two arbitrary values of x. Put them to the equation and calculate the values of y:
for x = 0
y = 2.5(0) - 5 = 0 - 5 = -5 → (0, -5)
for x = 2
y = 2.5(2) - 5 = 5 - 5 = 0 → (2, 0)
Plot a straight line through given points.
Answer:
All the points change, there are no invariant points
Step-by-step explanation:
The given parameters are
To translate the square OABC by the vector , we have;
The coordinates of the point O is (0, 0)
The coordinates of the point A is (3, 0)
The coordinates of the point B is (3, 3)
The coordinates of the point C is (0. 3)
The translation is by moving 1 step right and three steps up to give;
O' is (0+1, 0+3) which is (1, 3)
A' is (3+1, 0+3) which is (4, 3)
B' is (3+1, 3+3) which gives (4, 6)
C' is (0+1, 3+3) which gives (1, 6)
As all the points change, there are no invariant points and the number of invariant points is zero.