Visually, we can see that Player 1 and Player 2 are at the <em>same vertical point</em>, and we can confirm that numerically - both of their y-coordinates are 5. We can also see that it looks like the points mirror each other horizontally; numerically, their x-coordinates are 7 and -7 - the same basic number given different signs.
To find the axis of reflection, we want to find the line that passes right through the middle of the two points which, in this case, is the y-axis. Option 3 is the appropriate response in that light.
Answer:
Length of the garden = 10 ft
Step-by-step explanation:
Perimeter of a garden = 2(length + width)
Perimeter of the garden = 32 ft
Width of the garden = 6 ft
Length of the garden = x ft
Perimeter of a garden = 2(length + width)
32 = 2 ( x + 6 )
Open parenthesis
32 = 2x + 12
Subtract 12 from both sides
32 - 12 = 2x + 12 - 12
20 = 2x
Divide both sides by 2
20 / 2 = 2x / 2
10 = x
x = 10 ft
Therefore, length of the garden = x = 10 ft
For this case we must divide the following expression:
The expression can not be simplified. When dividing we have that its decimal form is given by:
3,201550
If we convert to a mixed number we have:
Verifying:
Answer:
Answer:
(x + 4) and (x + 1)
Step-by-step explanation:
x² + 5x + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)
The factors are 4 and 1 , since
4 × 1 = 4 and 4 + 1 = 5 , then
x² + 5x + 4 = (x + 4)(x + 1) ← in factored form
<h3>
Answer: Choice B) 3:1</h3>
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Explanation:
Consider a very small town of only 4 people.
If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.
The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B
We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.
We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.
In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.
