what is the absolute value of l 10 - 11 l =

Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

Answer:

7

Step-by-step explanation:

4-(-3)=4+3 (negative times negative is positive)

4+3=7

Hope that helps!

Answer:

x = 15                   x = -13

Step-by-step explanation:

|x-1|=14

There are two solutions to the absolute value equation, one positive and one negative

x-1 = 14   and x-1 = -14

Add 1 to each side

x-1+1 = 14+1     x-1+1 = -14+1

x = 15                   x = -13

Answer:

x= 13 or -13

Step-by-step explanation:

Substitute x for 13

|13+-1|=14

13+1=14

14=14

Now try -13

|-13+-1|=14

13+1=14

14=14

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)

Answer:

240

Step-by-step explanation:

(2x36)/2=36

(36+39)x2/2=75

(31+39)x2/2=70

(14+31)x2/2=45

(2x14)/2=14

14+45+70+75+36=240

ur gonna do : lxbxh

so :

8x5x7

the answer is 280 yd cubed

Answer:

Acute isoceles

Step-by-step explanation:

Two base angles of the triangle are equal making it isosceles

The top angle is less than 90° making it an acute angle

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

Answer:

20x^2 +19x - 60

Step-by-step explanation:

3x( 4x+5) -4 (-x-3) (2x -5)

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean [tex]3^x=15[/tex]

so let s use the ln() function

[tex]ln(3^x)= xln(3)=ln(15)[/tex]

so x = ln(15)/ln(3)

x = 2.4650

Answer:

1. -3x² × 3x × 2x³ × x⁵

= (-3×3×2) x^2+1+3+5

= -18x¹¹

2. [3×(-1)×(-1)] n^2+2+3

= 3n⁷

3.[-0.5×2×(-1)] x^3+5+1

= x⁹

4.[-2×(-1)×(-1)] s^2+3+4

= -2s⁹

5.[-6×1×(-1)] v^8+5+1

= 6v¹⁴

6.[1/2×(-1)×6] p^2+3+1

= -3p⁶

7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1

= 8b¹⁰

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Answer:

The first graph

Step-by-step explanation:

I think it is the first one because I remember doing this. If this is wrong please forgive me. Have a wonderful day!

First graph shows the function f(x) and g(x).

" Graph is representation of the coordinates on the coordinate plane along x-axis and y-axis."

According to the question,

Given function,

[tex]f(x) = x^{5} -3x^{2} +5x\\\\g(x) = f(-x+4)[/tex]

Plot the given functions on the graph we get,

Compare the drawn graph with the given graph.

First graph is same as graph drawn for the function f(x) and g(x).

Hence, we conclude that  first graph shows the function f(x) and g(x).

Learn more about graph here

https://brainly.com/question/20381610

#SPJ2

Answer:

60 minutes/1 hour

Step-by-step explanation:

45+ 15=60

Answer:

a. -3x = -2y

When x=6, y=9

Step-by-step explanation:

From the hanger, There are two sides

If x=triangle and y=square

First side has 1 triangle and 3 squares

It can be represented by

x+3y

Second side has 4 triangles and 1 square

It can be represented by

4x+y

Equate the first and second side

x+3y=4x+y

Collect like terms

x+3y-4x-y=0

-3x+2y=0

-3x=-2y

Find y when x=6

-3(6)=-2y

-18=-2y

Divide both sides by -2

-18/-2=-2y/-2

9=y

y=9

The value of y when x = 6 is 9

Given that the weight of the triangle is x and the weight of the square is y.

For the hanger at the left, the resulting equation will be:

x + 3y (1 triangle and 3 square)

For the right-hand side

4x + y (4 triangles and 1 square)

Equating both expressions

x + 3y = 4x + y

x - 4x = -2y

-3x = -2y

3x = 2y

If x = 6, hence;

3(6) = 2y

2y = 18

y = 9

Hence the value of y when x = 6 is 9

Learn more here: https://brainly.com/question/14107099

Answer:

Step-by-step explanation:

Answer:

1= 105, 2= 75

Step-by-step explanation:

Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8

Answer:

12

Step-by-step explanation:

Alr so correct me if I'm wrong but I think you made a mistake. It says find 44 of those rectangles. You found just 1 in that case which the area is 3/11. You have to do 3/11 X 44 which is

3/11 x 44/1 = 132/11 = 12.

As I said, correct me if I'm wrong.

Hope this Helps!

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

Answer:

8 grams

Step-by-step explanation:

The balance is in equilibrium, so the weights of the two sides are equal.

Let the weight of a square be s.

Left side: 2s + 4

Right side: s + 3(4) = s + 12

The weights are equal, so we set the two expressions equal.

2s + 4 = s + 12

s = 8

Answer: The weight of a square is 8 grams.

Answer:

Katie

Step-by-step explanation:

lets convert all the speeds to ft/1 sec

V adam: 9ft/sec

V noah: 164ft/14sec

164/14=11.7142857143= around 11.7 ft/sec

V jake: 1 mile/412 sec

1 mile= 5280 ft

5280 ft/412 sec=

5280/412=12.8155339806= around 12.8 ft/sec

V katie: 845ft/min

minute=60 sec

845ft/60sec=

845/60=14.0833333333= around 14.1 ft/sec

now lets order the velocities(speeds) from least to greatest:

V adam: 9ft/sec, V noah: 11.7 ft/sec, V jake: 12.8 ft/sec, V katie: 14.1 ft/sec

thus, Katie is the fastest runner

Answer:

D)She may not be correct because means cannot be determined from Box plots.

Step-by-step explanation:

Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,

Box plot tells us about :

1) Mininmum value

2) 25th Percentile value

3)Median

4) 75th Percentile value

5)Maximum value

6) Interquartile Range

Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.

So,Option D is true

She may not be correct because means cannot be determined from Box plots.

Answer:

She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

Answer:  8

Step-by-step explanation:

there is no table

Answer:

!!B!!

Step-by-step explanation:

What is the scale factor used to

enlarge an 8" by 10" original

photo to a 16" by 20" image?

A. 2

B. 2.5....is the answer

C. 0.5

D. 1.6

Answer:

A

Step-by-step explanation:

8x2= 16   10x2=20

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps