Answer:
<em>(5x−3)(x−3)</em>
Step-by-step explanation:
For a polynomial of the form
ax2+bx+c, rewrite the middle term as a sum of two terms whose product is
a⋅c=5⋅9=45 and whose sum is b=−18.
5x2−3x−15x+9
Factor out the greatest common factor from each group.
x(5x−3)−3(5x−3)
Factor the polynomial by factoring out the greatest common factor, 5x−3.
(5x−3)(x−3)
Let's start by rationalizing the radical:
4√6/√50 * √50/√50
This gets rid of the radical in the denominator, giving us:
4√300/50
√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:
4 * 10√3/50
This is equivalent to:
40√3/50
40/50 can be simplified to 4/5.
Therefore, the answer is 4√3/5.
Answer:
1st is rational 2nd is irrational 3rd is irrational 4th is rational 5th is irrational
Step-by-step explanation:
I encountered this problem before but it had an accompanying image and list of answer choices.
I'll attach the image and include the list of options.
Each unit on the grid stands for one mile. Determine two ways to calculate the distance from Josie's house to Annie's house.
A) Distance Formula and Slope Formula
B) Midpoint Formula and Slope Formula
C) Distance Formula and Midpoint Formula
<span>D) Distance Formula and Pythagorean Theorem
</span>
My answer is: D.) Distance formula and Pythagorean Theorem.
When looking at the image, I can visualize a right triangle. I'll simply get the measure of the long and short legs and solve for the hypotenuse.
Since the distance formula is derived from the Pythagorean theorem, it can be used to determine the distance from Josie's house to Annie's house.