Answer:
d
Step-by-step explanation:
Slope intercept form: y = mx + b
y = -x + 7
x + y = 21
x + y = 21
-x -x
y = -x + 21
y = -x + 7
y = -x + 21
Parallel lines have the same slope. Here, our slope is -1
Therefore, our final answer is d.
Hope this helps!
Answer:
m
=
5 , (
1
,
1
)
−
3 , (
1
,
3
)
3 , (2
,9
)
Step-by-step explanation:
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Answer:
(9-j)-3
Step-by-step explanation:
Let's start from the beginning and subtract j from 9. Because the word "from" is used, 9 will be the first number and j will be the second number.
We have 9-j
Now, we have to subtract 3 from the final answer. So, we have (9-j)-3
NUMBER ONE IS THE RIGHT ANGLE AND THE SECIND INE IS SUPPLEMENTARY