what is the arithmetic mean of 4,9,6,3,4,2?

The coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

The set of all points in a plane that are equidistant from a fixed line and a fixed point (not on the fixed line) in the plane is a parabola. The fixed line is the ‘directrix’ and the fixed point is the ‘focus’. The point of intersection of the parabola with the axis is the vertex.

For the given situation,

The equation of parabola is [tex](x-1)^2=12(y+2)[/tex] ------ (1)

The diagram below shows the parabola and the vertex of the equation of parabola.

The general form of the equation of parabola is

[tex](x-h)^{2} =4a(y-k)[/tex]

Here the vertex is (h,k)

Now compare the equation 1 with this general form, we get

⇒ [tex]h=1[/tex] and [tex]k=-2[/tex]

Hence we can conclude that the coordinate of the vertex of the parabola is option (C) (1,-2) is the correct answer.

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Answer:

60degrees

Step-by-step explanation:

Using the theorem that states that angle at the vertex is half the difference of the angles at the intercepted arcs

Angle at vertex can be gotten by taking the difference of 119 and 65

Angle at the vertex = 119 - 65

Angle at the vertex = 54

Hence;

54 = 1/2(168-VF)

Cross multiply

54  * 2 = 168-VF

108 = 168 - VF

VF = 168 - 108

VF = 60degrees

Hence the measure of arc VF is 60degrees

Answer:

no

[tex] {16}^{2} + {35}^{2} is not equal {41}^{2} [/tex]

Answer:

i=d ii=c iii=b iv=a

Step-by-step explanation:

You can find slop by doing rise/run Or the increase in y over increase in x

You read the graph left to right just like a  sentence so if the line is going down from left to right the slope is negative :)

Answer:

79 degrees.

Step-by-step explanation:

There are 7 total temperatures, 68, 82, 81, 82, 74, 75, and 91 degrees. To find the mean, we add all of the temperatures together and divide it by the number of tempuratures-- 7.

68+82+81+82+74+75+91 = 553.

553 / 7 = 79.

Hope this helps!

Answer:

option number three goes to square, option number two goes to trapezoid and las third option goes to rectangle.

Step-by-step explanation:

Answer: 1.12 Ghana Cedis

Step-by-step explanation:

First find the cost per kg:

= Amount spent / kg

= 224/250

= 0.90 Cedis per kg

In order to make a profit of 25%, the amount to charge per kg is:

= Cost per kg * ( 1 + makeup)

= 0.90 * (1 + 25%)

= 1.12 Ghana Cedis

Answer:

c

Step-by-step explanation:

Answer:

D. (-2, 1).

Step-by-step explanation:

y = 3x + 7

y = -2x - 3

AS the expressions on the right are both equal to y:

3x + 7 = -2x - 3

3x + 2x = -3 - 7

5x = -10

x = -2

Plug this into the first equation:

y = 3(-2) + 7

y = 1.

Answer:

D, -2, 1

Step-by-step explanation:

Just got it correct on ap-x

Answer: NO SOLUTIONS

Step-by-step explanation:

8a-3=5a+35+3a

8a-3=8a+35

-8a     -8a

-3 does not equal to 35

NO SOLUTIONS

Answer: 8a=38+8a²

Step-by-step explanation:

8a-3=5(a+7)+3a

8a-3=5a+35+3a

8a-3=8a²+35

8a=35+3+8a² (I moved 3 to put it with 35 because they are the same, I couldn't do the same for 8a and 8a² because of the 2)

8a=38+8a²

HOPE IT WORK

Answer:

x = 130°

Step-by-step explanation:

number of sides = 6

the sum of the total interior angles = (6 x 180) - 360 = 720°

x = 720 - 125 - 120 - 100 - 120 - 125 = 130°

Answer:

the approximate value after 6 years is $443

Step-by-step explanation:

The computation of the approximate value after 6 years is shown below:

= Current value × (1 + rate of interest)^number of years

= $250 × (1 + 0.10)^6

= $250 × 1.1^6

= $442.8903

= $443

Hence, the approximate value after 6 years is $443

Therefore the last option is correct

Answer:

A

Step-by-step explanation:

Area of a circle = [tex]A = \pi r^{2} \\[/tex]

R = 1/2 diameter

R = 14 / 2 = 7

A = π(7)²

A = 153.86

Answer:

a

Step-by-step explanation:

1. 5a - 8b + 7b + 3a

→ 5a + 3a - 8b + 7b

→ 8a - b ★

2. -5a + 8b - 7b - 3a

→ -5a - 3a + 8b - 7b

→ -8a + b ★

3. 5a + 8b - 7b + 3a

→ 5a + 3a + 8b - 7b

→ 8a + b ★

4. -5a - 8b + 7b - 3a

→ -5a - 3a - 8b + 7b

→ - 8a - b ★

Final answers ;

[tex] \boxed {\sf { 5a - 8b + 7b + 3a = 8a - b } } [/tex]

[tex] \boxed {\sf { -5a + 8b - 7b - 3a = -8a + b } } [/tex]

[tex] \boxed {\sf {5a + 8b - 7b + 3a = 8a + b } } [/tex]

[tex] \boxed {\sf {-5a - 8b + 7b - 3a = - 8a - b} } [/tex]

5a – 8b + 7b + 3a

5a – 8b + 7b + 3a

= 5a + 3a – 8b + 7b

= 8a – b ( Answer )

________________________________________________

–5a + 8b – 7b – 3a

–5a + 8b – 7b – 3a

= –5a – 3a + 8b – 7b

= –8a + b ( Answer )

________________________________________________

5a + 8b – 7b + 3a

5a + 8b – 7b + 3a

= 5a + 3a + 8b – 7b

= 8a + b ( Answer )

________________________________________________

–5a – 8b + 7b – 3a

–5a – 8b + 7b – 3a

= –5a – 3a – 8b + 7b

= –8a – b ( Answer )

________________________________________________

Answer:

no y = 3x +15 is greater

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given x^2 - 8x + 13 we can find several points to graph to represent this quadratic function.

The y-intercept is (0, 13) and stems from letting x = 0.

                                                 b

The axis of symmetry is x = - -----

                                                 2a

                                                                                    -8

Since a = 1 and b = -8, the axis of symmetry is x = - ------- = 4

                                                                                      2(1)

and so the vertex is at (4, 4^2 - 8(4) + 13), or (4, -3)

If you want to go the extra mile, find the roots of the given equation.  These are also your x-intercepts.  One such intercept is (2. 0).  

Plot these points and draw a smooth curve through them.

Hint:  the parabolic graph opens up.

Answer:15,368

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

you have a 6 sided die that is numbered 1, 2, 3, 4, 5, and 6.

you roll it once, so the probability that you will roll a five is 1/6

this is because you only want one specific number so that goes on the numerator of the fraction.

then, you have to multiply how many sides you have on the die to the number of rolls. in this case we have one roll and six sides. so the six goes on the denomerator side of the fraction

Answer:

- [tex]\frac{11\pi }{9}[/tex]

Step-by-step explanation:

To convert degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

radian measure = - 220 × [tex]\frac{\pi }{180}[/tex] ( divide 220 and 180 by 20 )

                           = - [tex]\frac{11\pi }{9}[/tex]

Answer:

12.56m^2

Step-by-step explanation:

a = piR^2

The area of a sector of a given circle is 37.7 m².

Given that, the radius of a circle=4 m and the central angle of a circle=270°.

The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.

The formula to find the area of a sector is θ/360°(πr²).

Where r is the radius of the circle and θ is the angle of the sector.

Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².

Therefore, the area of a sector of a given circle is 37.7 m².

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Answer:

X+67=0

X=-67

X+127=0

X=-127

Step-by-step explanation:

Answer:

please the answer is C which is; x is about 4•0 and y is about 14•6

Answer:

Answer

Step-by-step explanation:

y=-4x+22

x=(11/2,0)

y=(0,22)

y=3x+10

x=(-10/3,0)

y=(0,10)

Answer:

$2,369,136.10

Step-by-step explanation:

she earned $2,369,136.10 in interest after 130 days

Answer:

8 m/s.

Step-by-step explanation:

18 miles = 18*8/5 = 28.8km

28.8 km = 28.8 * 1000

= 28,800 m.

There are 3600 seconds in an hour.

Therefore:

28800 meters per hour = 28800/3600

= 8 m/s.

Answer:

17

Step-by-step explanation: