There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
9x9x9x9x9x9x9 = 9^7
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Answer:
m∠ADB = 59°
Step-by-step explanation:
I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.
Rime factorization of 2001:
By prime factorization of 2001 we follow 5 simple steps:
1. We write number 2001 above a 2-column table
2. We divide 2001 by the smallest possible prime factor
3. We write down on the left side of the table the prime factor and next number to factorize on the ride side
4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)
5. We continue until we reach 1 on the ride side of the table
<span>2001<span>prime factorsnumber to factorize</span><span>3667</span><span>2329</span><span>291</span></span>
<span>Prime factorization of 2001 = 1×3×23×29= </span><span>1 × 3 × 23 × 29</span>
Answer:
g(1) = -6
Step-by-step explanation:
g(x) = -2x^2 - 4x
You want to solve for g(1). To do this make every x value in the original equation become 1.
g(1) = -2(1)^2 - 4(1)
Evaluate the exponent.
g(1) = -2(1) - 4(1)
Multiply.
g(1) = -2 - 4
Subtract.
g(1) = -6