It takes has a 20 minutes to walk to school . it takes Andre 80% as long to walk to school how long dose it take Andre to walk t
2 answers:
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Answer: 10 units
Step-by-step explanation:
Use the distance formula(√(x1-x2)^2+(y2-y1)^2)
Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10
Hope it helps <3
Answer:
Step-by-step explanation:
Let
Subbing in:
a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:
Group together in groups of 2:
Now factor out what's common within each set of parenthesis:
We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:
Remember that
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.
The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and
You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.
You can determine this by finding zeros of quadratic function,
.
Which eliminates first and third option.
Now we have up and down parabolas left.
If we factor we find that the coefficient before
determines how it is turned, since its positive its an upward turned parabola hence the answer is the last graph.
Hope this helps.