Which graph best represents −3x+5y=−15?
1 answer:
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The answer is:
<u><em>Explanation</em></u>
Given functions are.......
For finding , we just <u>need to multiply the two functions</u>
and
. So......
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
Answer:
Step-by-step explanation:
<u>Second-Degree Equation</u>
The second-degree equation or quadratic equation has the general form
where a is non-zero.
There are many methods to solve the equation, one of the most-used is by using the solver formula:
The equation of the question has the values: a=1, b=2, c=4, thus the values of x are
Since the square root has a negative argument, both solutions for x are imaginary or complex. Simplifying the radical
The solutions are