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ratelena [41]
3 years ago
7

Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^

Mathematics
1 answer:
vitfil [10]3 years ago
5 0

Answer:

Below,...

Step-by-step explanation:

They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...

Hope it helps,... Chow!

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Given the diagram below with line DE║ line AC. Find BC.
Karolina [17]

Answer:

13.5

Step-by-step explanation:

In triangle ABC, DE || AC

Therefore by basic proportionality theorem:

\frac{BD}{DA} = \frac {BE}{EC} \\\\\therefore  \frac{4}{8} = \frac {BE}{9} \\\\\therefore  \frac{1}{2} = \frac {BE}{9} \\\\\therefore  BE = \frac{9}{2} \\\\\therefore BE = 4.5\\\because BC = BE + EC \\\therefore BC = 4.5 + 9\\\huge \red {\boxed {\therefore BC = 13.5}} \\

8 0
3 years ago
FILL IN THE BLANK
IgorLugansk [536]
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.

now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

\bf \begin{array}{ccccllll}
\stackrel{increase}{x}&\stackrel{new}{price}&students&\stackrel{revenue}{y}\\
------&------&------&------\\
0&12&14&168\\
1&14&13&182\\
2&16&12&192\\
3&18&11&198\\
\boxed{4}&20&10&\boxed{200}\\
5&22&9&198\\
6&24&8&192\\
7&26&7&182\\
8&28&6&168\\
..&..&..&..
\end{array}

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.

thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200

\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
\boxed{y=a(x-{{ h}})^2+{{ k}}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
\stackrel{c(x)}{y}=a(x-\stackrel{h}{4})\stackrel{k}{+200}
\\\\\\
\textit{now, we also know that }
\begin{cases}
x=2\\
y=192
\end{cases}\implies 192=a(2-4)^2+200
\\\\\\
-8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a
\\\\\\


\bf therefore\qquad \stackrel{ c(x)}{y}=-2(x-4)^2+200\impliedby \textit{let's expand that}
\\\\\\
y=-2(x^2-8x+16)+200\implies y=-2x^2+16x-32+200
\\\\\\
\stackrel{y}{c(x)}=-2x^2+16x+168
3 0
3 years ago
Read 2 more answers
Please answer these questions! Explanations are really helpful but not needed (: Doing one or even a couple problems, maybe all
Lisa [10]

Answer:

which one is the question I can't understand

7 0
3 years ago
Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines
aev [14]
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°. 
Therefore,
45° + 62° + k = 180
   107°      + k = 180
                   k  = 73°
The value of k is 73°
3 0
3 years ago
Read 2 more answers
When a rational and an irrational number are added, is the sum rational or irrational? Explain.
Ilya [14]
Sum of an irrational number and a rational number is always irrational. Take for example 1/2 + \pi. Clearly, 1/2 is rational and its decimal expansion is equal to 0.5, while \pi is irrational and has a non-repeating, non-terminating decimal expansion. When you add the two, you are obviously going to get a non-repeating, non-terminating decimal expansion, hence the sum is irrational.
5 0
3 years ago
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