Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is
, then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
which comes from the quadratic formula, but without the square root sign. Filling in:
which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
Answer:
you wrote the answer
Step-by-step explanation:
FIRST PROBLEM AS GENIUS!!!
The 45-45-90 triangle theorem states that each leg equals x, and the hypotenuse equals

. Using this, we can find that the height is 10. Take the average of the lengths to get l = 27.
The area = 270.
Answer:

Step-by-step explanation:
We have the exponential function of the form:

And it goes through the points (0, 13) and (3, 832).
Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

Since anything to the zeroth power is 1, this yields:

So, we determined that the value of a is 13.
So, our function is now:

We will need to determine b. We know that y equals 832 when x is 3. Hence:

Divide both sides by 13:

Take the cube root of both sides:

Hence, our b value is 4.
Therefore, our entire equation is:
