The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
The given point is (8, 6)
The scale factor of dilation = 1/2
To dilate a given point (x, y) by a scale factor m, multiply each of the coordinates (x, y) by m
The image = (mx, my)
For the point (8, 6) dilated by 1/2, the image will be calculated as shown below:
The image of the point (8, 6) dilated by a scale factor 1/2 is (4, 3)
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<h3>6x + y = -38 is the standard form of equation </h3>
<em><u>Solution:</u></em>
Given that,
y = -6x - 38
We have to write the equation in standard form using integers
<em><u>The standard form of equation is given as:</u></em>
Ax + By = C
Where,
x and y are variables and A, B, and C are integers
From given equation,
y = -6x - 38
Shift the variable terms to the left side of the equation and constants to right side of equation
<h3>6x + y = -38</h3>
Thus the standard form of equation is found
Plane A's slope 375
B's slope 425
Plane B is travelling at a faster speed rate of 425 mile per hour
Use the formula or complete the square.
The zeroes of the quadratic can be real and rational; real and irrational; complex conjugates.
If the quadratic is ax²+bx+c, x=(-b+√b²-4ac)/2a.
If b² > 4ac the solutions are real. If b²-4ac is a perfect square, the solutions are real and rational; otherwise they’re real but irrational.
If b² < 4ac the solutions are complex.
The required equation is :
Now, let's find the required values :
[distance between any successive Crest or trough]
Distance of starting position from origin = k
Now, plug in the values ~