Yes it would be proportional because it goes through the origin
Answer: In the text
Step-by-step explanation:
The length of a rectangle is twice the width. The area of the rectangle is 74 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.
This is a combination in which you choose 4 from 10.
The formula is
combinations = 10! / 4! * (10-4)!
combinations = 10! / 4! * 6!
combinations = 10 * 9 * 8 * 7 * 6! / 4! * 6!
combinations = 10 * 9 * 8 * 7 / 4 * 3 * 2
combinations = 10 * 3 * 7
combinations = 210
Source:
http://www.1728.org/combinat.htm
For the given sequence we have the formula:
Sₙ = 1 + (n - 1)*2
The 50th square will have 99 shaded squares.
<h3 /><h3>
How many shaded squares are on the n-th square?</h3>
Here we have a sequence:
The first square has 1 shaded squares.
the second square has 3 shaded squares.
The third square has 5 shaded squares.
And so on.
Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:
Sₙ = 1 + (n - 1)*2
Where S is the number of shaded squares and n is the number of the figure.
Then the 50th square will have:
S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99
Learn more about sequences:
brainly.com/question/6561461
#SPJ1
To solve this you first need to turn your mixed numbers into improper fractions. to do this for
you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction
.
You repeat this process with
to get
.
Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so
Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.
Now, to simplify
you first divide both the numerator and denominator by 7 to get
.
Finally, you can take 10 out of the numerator to make 