The answer is (1,3). It is the only point that is in the line.
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
replace F with 95 into the given equation.
C =
40 - 35 = 5
Answer: 5 degrees Celsius
Answer: 9/15, 16/25, 3/4 and 5/6.
Step-by-step explanation:
From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:
3/4 = 3/4 × 100 = 75%
5/6 = 5/6 × 100 = 83.3%
16/25 = 16/25 × 100 = 64%
9/15 = 9/15 × 100 = 60%
From the above percentages, arranging the fractions from the smallest will be:
9/15, 16/25, 3/4 and 5/6.
Answer: 1/4 or 25%
Step-by-step explanation: The probability of drawing any card is equal because there is only 1 of each number. 4 is pulled out and not replaced, so there are 4 numbers instead of 5; the denominator is 4. The probability of 6 is 1/4, because there is one 6 out of four numbers. The suggested answer is 1/4, but some tests or questions will ask for the percent specifically.