When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.
Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.
When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace <em>x</em> with -<em>x</em> .
Question 14: f(x) = |2x - 1| + 3. Replacing <em>x</em> with -<em>x</em> produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.
Question 15 works the same way as #14.
Answer:
Its skew lines
Step-by-step explanation:
Because skew lines are lines that do not intersect nor parallel in the same graph
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L = 3 + 2w
119 = w × ( 3 + 2w )
119 = 3w + 2w^2
2w^2 + 3w - 119 = 0
( w - 7 ) ( 2w + 11 ) = 0
w = 7
x = w
x = 7
Answer: 288ways
Step-by-step explanation:
There are 5men and 5women to be arranged, since the men must seat together, they will be arranged in 5! ways. For the women, since they must also seat together but with siamese twins between them, they can be arranged in 4! ways instead of 5! ways and this is due to presence of the twins among them.
Note that Siamese twins cannot be separated as such both are taken as one making it 4!.
Since the women and men are always sitting together, they can be arranged in 2! ways i.e 2 sexes
The final seating arrangement can be done in 2!×(5!+4!) ways
= 2× (120+24)
= 2×144
= 288ways.
Note that the arrangement of the men and women are added because they can only be arranged differently to ensure different sex are not sitting together.
Answer: slope = 1/2
Step-by-step explanation:
X-2y=10
-2y=-x-10 subtract x from both sides
2y=x+10 divide by -1
y=<u>1</u> x + 5 Divide by 2
2
slope = 1/2
