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zaharov [31]
3 years ago
8

Also round answers to three decimal places​

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0

Answer:

?

Step-by-step explanation:

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Solve for x in the triangle
grigory [225]
Answer: 49
explanation: since the triangle is a right angle, that means it is 90 degrees, so if you subtract the 41 degrees from 90 you get 49.
7 0
3 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

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Sally bought a soft drink for 3 $and 9 candy bars she spent a total of $48. How much did each candy bar cost?
luda_lava [24]

each candy bar costs $9


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3 years ago
Why are you guys rong
Gwar [14]

Answer:

"Rong"? I believe you need to re-do English class.

Step-by-step explanation:

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3 years ago
32-?-10+4=16 what is the missing number?
Fittoniya [83]
X=10

Hope this helped :)
4 0
2 years ago
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