The answer is slope formula because distance formula has x and y- squared exponents.
A terminated decimal does not continue forever. If there is a line above a set amount of numbers, it is not a terminated decimal as it means those numbers go on forever.
In this case, C) 10.101 is your answer, as it does not continue forever.
hope this helps
There will be 72 flowers in total in the large arrangement.
Step-by-step explanation:
No. of red flowers in vase = 4
No. of white flowers in vase = 5
Ratio of red flowers to white flowers = 4:5
No. of red flowers in large arrangement = 32
No. of white flowers in large arrangement = w
Ratio of red flowers to white flowers = 32:w
Using proportion;
Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers
![4:5::32:w](https://tex.z-dn.net/?f=4%3A5%3A%3A32%3Aw)
Product of extreme = Product of mean
![4*w=32*5\\4w=160](https://tex.z-dn.net/?f=4%2Aw%3D32%2A5%5C%5C4w%3D160)
Dividing both sides by 4
![\frac{4w}{4}=\frac{160}{4}\\w=40](https://tex.z-dn.net/?f=%5Cfrac%7B4w%7D%7B4%7D%3D%5Cfrac%7B160%7D%7B4%7D%5C%5Cw%3D40)
Total flowers in large arrangement = Red flowers + white flowers
Total flowers in large arrangement = 32 + 40 =72
There will be 72 flowers in total in the large arrangement.
Keywords: ratio, proportion
Learn more about ratios at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
The negative coefficient of x^2 tells you the parabola opens downward. (Any even-degree polynomial with a negative leading coefficient will open downward.)
Going through the steps for completing the square, we ...
1. Factor out the leading coefficient from the x-terms
-1(x^2 +14x) +1
2. Add the square of half the x-coefficient inside parentheses, subtract the same amount outside parentheses.
-1(x^2 +14x +49) -(-1·49) +1
3. Simplify, expressing the content of parentheses as a square.
-(x +7)^2 +50
4. Compare to the vertex form to find the vertex. For vertex (h, k), the form is
a(x -h)^2 +k
so your vertex is ...
(h, k) = (-7, 50) . . . . . . . . . a = -1 < 0, so the curve opens downward. The vertex is a maximum.
The maximum value of the expression is 50.
Answer:
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