Answer:
width: 4cm
length: 13cm
Step-by-step explanation:
Let the width of the rectangle be w. From the problem, we can infer that the length would be equal to 3w + 1. The formula for the perimeter of a rectangle is:
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width.
We can substitute our values into the equation:
34 = 2(3w + 1 + w)
17 = 3w + 1 + w
17 = 4w + 1
16 = 4w
w = 4
We can substitute this into the length:
3w + 1
3(4) + 1
12 + 1
13
Answer: He drove 42 miles per gallon and remainder 4.
Step-by-step explanation:
X= 8
Y= -7
If you use elimination:
–3y–4x=–11
3y–5x=–61
Add the two equations and get
–9x=–72
Divide by –9 on both sides
X=8
Substitute 8 in for x
–3y–4(8)=–11
Simplify
–3y–32=–11
Add 32 on both sides
–3y=21
Divide by –3 on both sides
Y=–7
First find all of the factors of 6. They are 1, 2, 3, and 6. The probability of anything is the number of possible outcomes divided by the total number of outcomes. The possible outcomes for factors of 6 are 1, 2, 3, and 6. There are 4. The total number of outcomes is 8, listing all of the integers 1-8. Therefore, the probability is 4/8 or 1/2. This can also be written as 50%.
We will use the Reminder theorem.
The polynomial f ( x ) is divisible by x - a when f ( a ) = 0.
For the 1st one:
f ( - 2 ) = ( - 2 )³ + 7 · ( - 2 )² + 14 · ( - 2 ) + 8 =
= - 8 + 28 - 28 + 8 = 0
For the 2nd one:
f ( 5 ) = 3 · 5³ - 12 · 5² - 4 · 5 - 55 =
= 375 - 300 - 20 - 55 = 375 - 375 = 0
Answer;
1. ( x + 2 )
2. ( x - 5 )