The expression in the form of a(x+b)^{2}+c will be 2(x+5)^{2}- 1.
<h3>What is a quadratic equation?</h3>
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Express; 2x^{2} +5x-1 as a(x+b)^{2}+c
We have been given
a = 2 , b= 5 and c = -1.
Now, substitute the values;
Hence, the expression will be 2(x+5)^{2}- 1.
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If the grist mill completes the rotation in 8 seconds. Then the final position of the bucket after 6 seconds is (0, 9).
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A water grist mill has a radius of 9ft and takes 8 seconds to make a complete rotation. a bucket starts at position (9,0).
Then the coordinates of the bucket's location after 6 seconds will be
The angle of rotation after 6 seconds will be
Then we have
x = 9 cos 270°
x = 0
and y will be
y = 9 sin 270°
y = -9
But the angle is in a clockwise direction, then
y = 9
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Answer:
4080
Step-by-step explanation:
There are 60 minutes in an hour, so you just need to multiply 68 by 60 and you get 4080
Answer:
-4/3
Step-by-step explanation:
1. The slope formula is in the form y2-y1/x2-x1
2. Use one set of points as (x1, y1), and the other as (x2, y2).
3. Plug the points into the corresponding equation variables
4. Solve: (-4 - 4)/(1 -(-5)) = -8/6
-8/2 = -4, 6/2 = 3
-8/6 = -4/3