Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:
-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18
Thus the equation for the line is y = 1x - 18
the answer would be x=6
to find it you would set 3x-2 equal to 2x+4 and solve because the two sides would be equal if the triangles are congruent
hope this helps :)
Answer: Choice B
(x-1)(x^3+x^2+5x+6)
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Explanation:
The 1 in the upper left box means that x = 1 is a root of the original polynomial.
So this means x-1 is a factor of the original polynomial.
This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.
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The 0 in the last position of the bottom row shows we got a remainder of 0.
Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.
The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6
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So we know that (x-1) and (x^3+x^2+5x+6) are factors
Meaning that,
x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)
You can confirm this by expanding out the right hand side (distribution rule).
The function is invertible on either side of the vertex. There are many possible answers. Ones that include the vertex are ...
x ≥ 3
or
x ≤ 3
Answer:
27
Step-by-step explanation:
3^-9/ 3^-12
Simply change the division into multiplication. The denominator will become numerator. We are doing so because the base are same.
3^-9 * 3^12
Negative sign of power 12 become positive
Add the powers because the base is same.
3^-9+12
3^3
3^3 means multiply 3 three times
3*3*3
=27....
