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Delicious77 [7]
3 years ago
12

.............................>

Mathematics
2 answers:
kotegsom [21]3 years ago
7 0

Answer:

<AMX=70°

<YMB=70° being vertically opposite angle

Natalka [10]3 years ago
3 0

Answer:

70°

Step-by-step explanation:

because angle AMX and YMB are vertically opposite its equal

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Help me find domain? Please
dedylja [7]

This graph is that of a parabola, which in turn represents a quadratic (2nd order) equation, also a polynomial.  The domain of any and all polynomial(s) is "the set of all real numbers," or (-infinity, infinity).


4 0
3 years ago
Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
3 years ago
7) Alicia has a board game that is 18 inches wide and 18 inches long.
zysi [14]

Answer:

324 inches

Step-by-step explanation:

18 x 18 or 18² is 324

7 0
2 years ago
Read 2 more answers
Please help me on the picture above. I will give points for people who help.
Jobisdone [24]

Answer:

I believe the one you selected is correct. A negative plus a negative makes a positive meaning you start at -2 and end with +2

6 0
3 years ago
Read 2 more answers
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