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sammy [17]
3 years ago
7

What is the axis of symmetry for f(x)=32+9x+15 ?

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

The axis of symmetry is

x=-\frac{3}{2}

Step-by-step explanation:

The given function is f(x)=3x^2+9x+15.

Compare to f(x)=ax^2+bx+c,

a=3,b=9,c=15

The axis of symmetry of the parabola is given by the formula;

x=-\frac{b}{2a}

We substitute into the formula to get;

x=-\frac{9}{2(3)}

The axis of symmetry is

x=-\frac{3}{2}

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A sector of a circle has an arc length of pi cm and a central angle of pi over 6 radians. What is the area of the sector?
liberstina [14]

Answer:

Area of sector is 6pi cm^2

Step-by-step explanation:

Mathematically pi radians is 180 degrees

thus pi/6 radians is 180/6 = 30 degrees

The formula for the length of an arc is;

theta/360 * 2 * pi * r

where theta in this case is 30 degrees

And the arc length is pi

so we have

30/360 * 2 * pi * r = pi

30/360 * 2 * r = 1

60r = 360

r = 360/60

r = 6 cm

Now the area of a sector is;

theta/360 * pi * r^2

30/360 * pi * 36

= 6pi cm^2

4 0
2 years ago
Find the percent of change. Round to the nearest tenth of a percent if necessary. 10 inches to 25 inches. ___ % increase.​
andrezito [222]

Answer:

150%  change

Step-by-step explanation:

Formula for Percent change =  C =[ (new - old)/ old ]* 100%

C =  [ (25 in. - 10 in.) / 10 in. ] = [15/10 ] * 100% = 150 %

8 0
3 years ago
Show work please and correct
77julia77 [94]

Answer:

-  \frac{1}{2}

its down 1 over 2 each time

7 0
3 years ago
I need the answer pls answer fast
son4ous [18]

Answer:

A = 846 in²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ ( d₁ and d₂ are the diagonals ) , then

A = \frac{1}{2} × 36 × 47 = 18 × 47 = 846 in²

7 0
2 years ago
Read 2 more answers
In the square ABCD, AE = 3x + 5 and BD = 10x + 2. What is the length of line AC?
zubka84 [21]
BD = 2 AE
10 x + 2 = 2 * ( 3 x + 5 )
10 x + 2 = 6 x + 10
10 x - 6 x = 10 - 2
4 x = 8
x = 8 : 4
x = 2
And the line AC is equal to BD.
AC = 10 * 2 + 2 = 20 + 2 = 22
Answer:
3.  22
6 0
3 years ago
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