The functions f(x) = 2x2 + 2 and g(x) = 2x+1 + 2 are graphed on the coordinate plane as shown.
32
24
16
8+000
0
1
2
For what values of x is g(x) > f(x)?
O A 0 < x < 2 and x > 4
OB. 2 C. X > 4
OD. X > 2

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

C.

Step-by-step explanation:

Answer:

Two sides have the same length, which is less than the length of the third side.

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side.

this is also a right angled triangle because it has a 90 degree angle. the sum of the square of the two sides would be equal to the square of th third side

Answer:

864

Step-by-step explanation:

∵X-Y=5    and.  

∵X+Y=59   add the two equations

∴2X=64

∴X=32 (substitute in any equation)

∴32 - Y=5

∴Y = 27

∴ So . X×Y=32 × 27=864

Answer:

x=32, y=27

Step-by-step explanation:

32-27=5

32+27=59

32>27

32x27=864

Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.

Answer:

Step-by-step explanation:

From the graph attached,

Coordinates of the vertices of ΔOAB,

O → (0, 0)

A → (2, 4)

B → (5, 0)

If a point (h, k) is rotated 90° counterclockwise about the origin the image point will be,

(h, k) → (-k, h)

By this rule, if triangle OAB is rotated 90° counter clockwise, new vertices will follow the same rule,

O(0, 0) → O'(0, 0)

A(2, 4) → A'(-4, 2)

B(5, 0) → B'(0, 5)

By plotting these points we can get the image triangle.

Answer:

Sperm whale

Step-by-step explanation:

6500 feet is the greatest depth of the four

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

Answer:

A) y= -1.4x + 13

Step-by-step explanation:

use the graphing app desmos it makes your life easier

Answer:

Step-by-step explanation:

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

Answer:

Step-by-step explanation:

Answer:

it cant be simplified but this is what i got

Step-by-step explanation:

sorry if its incorrect :')))))))

Answer:

X=4, y=1

Step-by-step explanation:

number 1 is the answer circle FA

Answer:

Yes

Step-by-step explanation:

Answer:

I think the value of -124 is just 124

Just remove the negative!!

Step-by-step explanation:

Hope this helped!!!

Answer:

5 cups

I would appreciate Brainliest but no worries.

Answer:80

Step-by-step explanation:

All angles in a triangle add up to 180.

70+30= 100

180-100= 80

There you have it

Answer:

416 mi

Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

Remember to find the area it is length x width

Answer:

The answer is C. 65

Step-by-step explanation:

You can really just do this visually ngl

Answer:

the answer is on line and it have the correct work

Answer: $36.45

Step-by-step explanation:

45(.25)=11.25

45-11.25=33.75

33.75(.08)=2.70

33.75+2.70=36.45

Answer: y=3/7x + 5

Step-by-step explanation:

The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we know that,

In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:

m1 = -1/(m2)

where m1 and m2 are the slopes of the lines.

Write the given equation in slope-intercept form to identify the slope m1, as follow:

7x + 3y = -18 subtract 7x both sides

3y = - 7x - 18 divide by 3 both sides

y = -7/3 x - 6

remind that the general form of the equation of a line can be written as follow:

y = mx + b

where m is the slope. Based on the expression for y = -7/3 x - 6, you have

m1 = -7/3

then, calculate m2:

m2 = -1/(m1)

m2 = -1/(-7/3)

m2 = 3/7

Hence, it is necessary that the perpendicular line has a positive slope of 3/7.

From the given answer choices, you can notice that the only option with the required slope is:

y = 3/7 x + 5

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

Answer:

D

Step-by-step explanation:

If you think of the equation as an equation for a line.

=+

y

=

m

x

+

b

where

=5/9(−32)

C

=

5

/

9

(

F

−

32

)

or

=5/9−5/9(32)

C

=

5

/

9

F

−

5

/

9

(

32

)

you can see the slope of the graph is 5/9

5

/

9

, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9

5

/

9

of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5

9

/

5

degrees Fahrenheit. Since 95

9

5

= 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5

9

/

5

degrees Fahrenheit, not 5/9

5

/

9

degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answer:

D

Step-by-step explanation:

equation is C= 5/9(F-32)