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jok3333 [9.3K]
2 years ago
5

Describe how to determine whether the parabola y = 3x2 + 3x + 6 is opening upward.

Mathematics
1 answer:
qaws [65]2 years ago
4 0

Answer:

  • Opening upward

Step-by-step explanation:

<u>Standard equation of parabola is:</u>

  • y = ax² + bx + c

The parabola is opening upward if a > 0 and opening downward if a < 0

The given parabola has a = 3 > 0, therefore it is opening upward

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Which one is right. I am lost and I need help
Lubov Fominskaja [6]

Reflection across y=x is a special case transformation


(x,y) \rightarrow (y,x)


The original triangle has vertices A(-5,1), B(-4,3), C(-2,1), D(-3,-1) so the transformed triangle has vertices


A'(1,-5), B'(3,-4), C'(1,-2), D'(-1,-3)


Choice A'(1,-5)




8 0
3 years ago
If Log 4 (x) = 12, then log 2 (x / 4) is equal to <br>A. 11 <br>B. 48 <br>C. -12 <br>D. 22
klio [65]
C I guess sorry if I get you a low score
6 0
3 years ago
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
Veseljchak [2.6K]

Answer:

Approximately 68.5\; \rm mm.

Step-by-step explanation:

Convert the angle of this sector to radians:

\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}.

The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

In this question, it is given that the arc length of this sector is s = 36\; \rm mm. It was found that \theta = 2.22 radians. Rearrange the equation s = r\, \theta to find the radius r of this sector:

\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}.

The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

8 0
2 years ago
7(6+d)=49 Solve for d.<br><br> A:d=7<br> B:d=-1<br> C:d=-7<br> D:d=1
Elan Coil [88]

Answer: d = 1

Step-by-step explanation:

First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1

3 0
3 years ago
Find all real solutions of this equation to answer
Lera25 [3.4K]

Answer:

(6-2x)(3-2x)x=40

Step-by-step explanation:

(-2x-2x) (6+3)x=40

8x=40

8x/8=40/8

x=5

6 0
3 years ago
Read 2 more answers
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