Answer:
7x(3-5a)
Step-by-step explanation:
21-35a =
to find a minimum common multiply you have to rationalize the number with the same numer, and this number must be a whole, this will help you to write the expression easier, if you notice that 21 and 35 are familiar of 7, then you can find a common factor, to multiply your expression
Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.
BA and AC are sides and BC is the hypotenuse.
we have 23^2 + b^2 = 45^2
529 + b^2 = 2025
b^2 = 2025 - 529
b^2 = 1496
b = sqrt(1496)
b = 38.68 = 38.7
The length of AC = 38.7
Answer:

Step-by-step explanation:
Given


Required
Determine the line equation
First, we calculate the slope (m) using




The equation is then calculated using:


Open bracket



Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
1 whole pizza is equal to 8/8. If Louis eats 6/8 then there should be 2/8 left, if your teacher wants it simplified then you will divide both the numerator and the denominator by 2 giving you a fraction of 1/4.