Point b has coordinates ​(1​,2​). the​ x-coordinate of point a is negative −11. the distance between point a and point b is 15 units. what are the possible coordinates of point​ a?

Answer:  Choice B.  3√2

This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]

===========================================================

Reason:

For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]

In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]

So,

[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]

If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.

Side note: This formula or concept is related to the pythagorean theorem.

Answer:

4.1 units

Step-by-step explanation:

A( -2,3)

B( 2,5)

C( 8.6)

Answer: number of kids(k)=200

sand the number of adults(a)=300, visited the carnival.

The tool I used is called simultaneous equation and I used elimation method as the method.

Answer:

The rule is "add 5, add 10, add 20" and the rule keeps doubling.

Part A

y-intercept: 3

It represents that after 0 months practice, the number of matches won is 3.

Part B

slope intercept form: y = mx + b

Here to find slope,

take two points: (5, 12), (0, 3)

[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]

Equation:

y - y1 = m(x- x1)

y - 12 = 1.8(x - 5)

y = 1.8x - 9 + 12

y = 1.8x + 3

To find Matches won after 13 months

insert x = 13

y = 1.8(13) + 3

y = 26.4 ≈ 26 matches

The team could have won 26 matches after 13 months practice.

Answer:

See below ~

Step-by-step explanation:

Part A :

Part B :

Forming the equation :

Predicting how many matches can be won with 13 months of practice :

Answer:

difference between town A and town B is 5.4 deg. celcius

Step-by-step explanation:

I added each row and divided by 5 to get the average for A and B

I subtracted the average

see attached picture showing the math

Problem 16

Work Shown:

[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]

I factored out x, then divided both sides by (2a-5)

=========================================================

Problem 17

Work Shown:

1 yard = 3 feet

1/3 yard = 1 foot

x/3 yards = x feet

In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.

#16

Option C

#17

So

Answer:

a=b-44y

Step-by-step explanation:

a=b-44y

Answer:

[tex] d = sin(39) \times 30[/tex]

Answer:

volume = 14,137

Step-by-step explanation:

radius is the diameter divided by 2

30÷2=15

radius = 15 then square

15^2 = 225

formula of volume of a cone is 1/3*pi*raduis^2*the height

1/3(3.14)(225)(60)= 14,137

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

The volume of the cone is given by;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height[/tex]

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15[/tex]

Substitute all the values in the formula

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130[/tex]

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

https://brainly.com/question/3013784

#SPJ2

The values of x given the following expression are ∛243/7 and 7^1/4

Given the following expression

7x³ =243
x³ = 243/7

x = ∛243/7

For the expression

5x⁴ + 7 = 42
5x⁴  = 42 - 7

5x⁴ = 35

x⁴ = 7

x = 7^1/4

Hence the values of x given the following expression are ∛243/7 and 7^1/4

Learn more on indices here: https://brainly.com/question/8952483

#SPJ1

Answer:

288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

908

Step-by-step explanation:

879+29=908

The percent of change in the number of points she scored between the first and second tests  = 4.878 %

If the data is decreasing,

Decrease = Original Number - New Number.

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100.

Given that:

The score of first Math test = 82

The score of second Math test = 78

Changes occurs in marks by=78-82

                                               =-4

So, there is decrease in marks.

We have to find the decrease percentage:

Decrease%= [tex]\frac{change \;in \;value}{Original\; value} *100[/tex]

                   = [tex]\frac{4}{82} *100[/tex]

                   = 0.04878 * 100

                  = 4.878 %

There is 4.88% decrease in Olivia's score.

Learn more about percentage decrease here:

https://brainly.com/question/10168902

#SPJ1

Answer:

(8w + 7)(7w + 9)

Step-by-step explanation:

56w² + 121w + 63

consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term

product = 56 × 63 = 3528 and sum = 121

After much trial and error the factors are + 49 and + 72

use these factors to split the w- term

56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )

= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term

= (8w + 7)(7w + 9) ← in factored form

20f - 4 (5f + 4) + 16

= 20f - 20f - 16 + 16

= 0

Answer:

0

Step-by-step explanation:

Distribute terms in the parentheses

Answer:

Jorge needs 1/2 apple to make the snack.

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition:

For any real numbers a, b, and c, (a + b) + c = a + (b + c).

Answer:

Commutative Property of Addition

Step-by-step explanation:

The statements about the octagon that are true are:

This is known to be a kind of 2D shape object that is said to be made up of eight-sided polygon.

Note that when one measure the central angle, ∠zxw, as 45° it will therefore holds true for an octagon true shape and as such the two options above are correct.

Learn more about octagon  from

https://brainly.com/question/13011837

#SPJ4

Answer:

its C and E my friend

Step-by-step explanation:

i took the test

yw :)

hope i helped/ made life easier

Answer: y=108

Step-by-step explanation:

Answer:

k = 4.5

y = 4.5x

Step-by-step explanation:

Finding the variation constant, k :

Equation of variation :

The special ticket cost to cover the expected value of the refunds would be $2.60

Probability of A winning = 80%

Probability of B winning = 20%

We have to solve for the rebate of the bet.

80% = 0.8, 20% = 0.2

0.8 x 2 = 1.6

0.2 x 5 = 1

The extra minimal cost of the special ticket would be calculated as: 1 + 1.6

= $2.6

Therefore the answer to the question is $2.6

Read more on probability here: https://brainly.com/question/24756209

#SPJ4

Answer:

radius = 72.00 in (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substituting the given values into the formula and solving for r:

[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]

[tex]\implies \sf 1481276.16=285.74r^2[/tex]

[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]

[tex]\implies \sf r^2=5184[/tex]

[tex]\implies \sf r=\sqrt{5184}[/tex]

[tex]\implies \sf r=72\:in[/tex]

Answer: radius : 72.00 inch

The following is a cylinder.

Volume of Cylinder: πr²h

Given following:

Solve for radius:

[tex]\rightarrow \sf \pi r^2h =V[/tex]

[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]

[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]

[tex]\rightarrow \sf r^2 =5184[/tex]

[tex]\rightarrow \sf r=\sqrt{5184}[/tex]

[tex]\rightarrow \sf r=72[/tex]

a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29

b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-

The data from the graph will be

1,0,6,2,0,2

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]

Hence standard deviation is 1.29

b)The standard deviation of the scores of the monthly home run totals in this season

The data from the graph will be

4,6,4,8,7,13

Standard deviation is calculated as:-

[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]

[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]

Putting the values we get

[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]

Hence standard deviation is 2.738

To know more about standard deviation follow

https://brainly.com/question/475676

#SPJ1

The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.

A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.

In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.

Therefore, the dimensions of the rectangle Michael should draw is given by:

Dimension = 4 × 4 units.

Read more on parallelogram here: https://brainly.com/question/4459854

#SPJ4

Answer:

option C

Step-by-step explanation:

Let's solve this problem step by step:

 ⇒ on one side, I solve the equaiton

    ⇒ on the other side, I give you the property that I use to solve the

        equation

         ⇒ you don't need to write down those properties if your teachers

             didn't ask you for it

  [tex]4(5x-2)=2(9x+3)\\[/tex]      |   Given equation

  [tex]20x-8=19x+6[/tex]           |    Distributive Multiplication over subtract/add

  [tex]x=14[/tex]                             |    Subtraction Property of Equality

Answer: x = 14

Definition of Properties:

Answer:

A parameter is a numerical description of a population characteristic

Step-by-step explanation:

A parameter is a numerical description of a population characteristic

Answer:

[tex]a^{4}-2a^{2} -24[/tex]

Step-by-step explanation:

We do FOIL to solve this

Answer:

a) 20r + 20w = 500, 10r + 35w = 500

b) r = 15, w = 10

c) 900 calories

Explanation:

Let running time be r, walking time be w

a) Hence, make equation's:

20r + 20w = 500... equation 1

10r + 35w = 500... equation 2

b) Determine the value of the variables by solving simultaneously.

⇒ (500 - 20w)/20 = (500 - 35w)/10

cross multiply

⇒ 10(500 - 20w) = 20(500 - 35w)

multiply

⇒ 5000 - 200w = 10000 - 700w

shift sides

⇒ -200w + 700w = 10000 - 5000

simplify

⇒ 500w = 5000

divide both sides by 500

⇒ w = 10

Now find the value of variable r,

⇒ r = (500 - 20w)/20

insert w = 10

⇒ r = (500 - 20(10))/20

simplify

⇒ r = 15

Hence the value of r is 15 and w is 10

c) Find calories burnt after one hours of running:  [1 hours = 60 minutes]

calories = 60r = 60(15) = 900 calories

Hence, he can burn 900 calories after one hours of running.

a) a= 2×40 = 160°

b) b = 60/2 = 30°

c) c = 40°

d) d = 115°