6. The roots of the equation 2x2 + 4 = 9x are
a. Real, rational, and equal
b. Real, irrational, and unequal
Real, rational, and unequal
d. Imaginary

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

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Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

Answer:

9/8 or 1.125

Step-by-step explanation:

multiply 6/1 * 3/16 = 18/16

divide both by 2

9/8

Answer:

21 people completed the assignment by the due date, hope this helps !!!

Step-by-step explanation:

70% of 30 is 21 according to my calculator lol :D

brainliest would be swag ?

Answer:

speed of the rocket is 6feet

Step-by-step explanation:

Complete question

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Note that the average rate is also known as the speed

Average rate = h(3)-h(1)/3 - 1

h(3) = 3+70(3) - 16(3)^2

h(3) = 3 + 210 - 144

h(3) = 69

h(1) = 3+70(1) - 16(11)^2

h(1) = 3 + 70 - 16

h(1) = 73 -16

h(1) = 57

Average rate = 69-57/3-1

Average rate = 12/2

Average rate = 6ft/s

This shows  that the speed of the rocket is 6feet

Answer:

If you're looking for the answer for edge, its;

B. The rocket is at a greater height when t = 3 than when t = 1.

Step-by-step explanation:

edg- answers ;p

Answer:

1.79

Step-by-step explanation:

add the times

multiply the speed by 2

Answer:

EF=FC =22 ( diagonals bisect each other )

then EC=2 EF =2 x 22 =44

Answer:

SOLUTION: Yes; one pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel. By the definition of congruence, these segments are congruent. By Theorem 6.12 this quadrilateral is a parallelogram.

Answer:

Below.

Step-by-step explanation:

The definition of a parallelogram is a 4 sided figure  with 2 pairs of oppsoite parallel sides.

One of the properties of a parallelogram is that opposite sides are congruent.

In this figure the opposite sides are both parallel and congruent, so it must be a parallelogram.

Answer:

V≈268.08

Step-by-step explanation:

V=4

3πr3=4

3·π·43≈268.08257

Answer:

122.5 cm²

Step-by-step explanation:

Area = 1/2 × 35 × 7 = 122.5 cm²

Answer:

area of rectangle=l×b =14×7 =98cm²

again,

area of triangle=1/2×7×7=24.5cm²

total area =98+24.5=122.5cm²

hope it helps.

Answer: 70 chickens

Step-by-step explanation:

7:2

Chickens to ducks

5:9

Ducks to pigs.

There are 36 pigs. 9 is the ratio of pigs.

5 : 9

? : 36

9 x 4= 36

So multiply 5x4 to find the total ducks

=20 ducks

7 : 2

? : 20

So, 2x10 is 20 (ducks)

So 7x10 to find the chickens

(You have to balence out the sides and keep it equal

So if one side is multiplied by 10, the other is too)

7x10

= 70 chickens

The number of chickens in the farm is 70 chickens

The ratio of chickens to ducks is

7:2

The ratio of ducks to pigs is

5:9

There are 36 pigs in the farm

The first step is to calculate the total number of ducks

9-5

= 4

= 5×4

= 20 ducks

The next step is to calculate the number of chickens

= 7×10

= 70 chickens

Hence there are 70 chickens in the farm

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Answer:

Step-by-step explanation:

I take it that what you mean is

10/4 + 12/6 + 17/12

Change all the questions so that their denominators are 12

10*3 / 4*3 + 12*2 / 6*2 + 17/12

30 / 12 + 24/12 + 17/12

(30 + 24 + 17)/12

71 / 12

5 11/12

5.917

Answer: $7,488

Step-by-step explanation:

For answer B:

The formula for the new balance would be A=P(1 + r)t

A = new balance

P = principal balance -> $900

r = rate (in decimal form)

t = time in years -> 8 years

To find the rate, convert 4% to decimal  

4/100 = 0.04

A=P(1+ r)t  

A=900(1+0.04)8

A=900(1.04)8

A=$7,488

Answer:

A. 288, b 1,188

Step-by-step explanation:

Answer: 5 (4x + 7)

Step-by-step explanation:Wouldn't it be 5(4x+7). So I guess the sign it's looking for is an addition symbol.

Answer:

100.48

Step-by-step explanation:

Multiply the radius by 2 to get the circumference. Then multiply by pie, 3.14

Answer:

100.48

Step-by-step explanation:

circumference=3.14 times 16 squared(which means you just do 16 times 16)

256 times 3.14 and you get 100.48

Answer:

1/6

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

The probability of getting a blue marble is 0.15.

The probability of an event is a number that indicates how likely the event is to occur.

Given that, a  bag contains marbles of four different colors: 8 blue marbles, 24 red marbles, 16 green marbles and 4 yellow marbles,

We need to find the probability of picking a blue marble at random out of the bag,

Probability(Event) = Favorable Outcomes / Total Outcomes

Favorable Outcomes = 8

Total Outcomes = 52

Therefore,

P(blue marble) = 8/52 = 0.15

Hence, the probability of getting a blue marble is 0.15.

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Answer:

The slope of the line would be -2/3

Answer:

44.375sq.cm

Step-by-step explanation:

The Area of the figure = Area of the square - Area of the quadrant

Area of the square = 8 * 8 = 64sq. cm

Area of the quadrant = πr²/4 = 3.14(5)²/4

Area of the quadrant = 19.625sq.cm

Area of the figure = 64 - 19.625

Area of the figure  = 44.375sq.cm

your answer should be three.

~iwa-chan

Answer:

Step-by-step explanation:

Answer: A.50 B.32

Step-by-step explanation:

I added then rounded them

Answer:

A rectangle has a length of 7 inches and a height of 2 inches

Step-by-step explanation:

The height of the vertical cross section is the same as the height of the prism, that is, 2 inches.

The length of the vertical cross section is the same as the width of the prism, that is, 7 inches.

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given that

The mean of A and B is 20

The mean of B and C is 24

And, the mean of A, B and C is 18

We need to find out the mean of A and C

Since the mean of A and B is 20

So, a + b = 20 × 2

= 40

Likewise for B and C it is 48

And, for A, B and C, it is 54

So,

a + b = 40

b + c = 48

a + b + c = 54

So if we put the value of b + c in the above equation

a + 48 = 54

a = 6

b = 34

c = 14

Now the mean of the A and C is

= (6 + 14) ÷ 2

= 10

Hence, the mean of A and C is 10

Answer:

here how 60 marks more than khriste means how many 60 more we can first find the 72% of 800=

800÷100×72= 576 number

same in sristhi = 92% of 800= 800÷100×92= 736

now how many 60s increased = 736-576= 160

= 160÷ 60= 2.6 more ANSWER

Answer:

55.43cm^2

Step-by-step explanation:

Area of a hexagon given the apothem =  1/2 x perimeter x apothem

apothem = 4cm

To find the perimeter, take the following steps

4 = x√3

x = 4/√3

Multiply by 2

8√3

Since a hexagon has 6 equal sides, multiply by 6

Perimeter = 48√3

Area = (1/2) x  48√3 x 4 = 55.43cm^2

Formula:2 pi R

R=5

5*2=10

3.14*10=34.1

The circumfrence is 34.1

34.1