Mathematics College

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Answers

Answer 1

[tex] \sqrt{ ({ - 1 - 7})^{2} + ({2 - a})^{2} } = \sqrt{ ({ - 1 - a})^{2} + ({2 - ( - 3)})^{2} } \\ [/tex]

Bring both sides of the equation to the power of 2

[tex]( { - 8})^{2} + ({2 - a})^{2} = ({ - 1 - a})^{2} + ({2 + 3})^{2} \\ [/tex]

[tex]64 + 4 - 4a + {a}^{2} = 1 + 2a + {a}^{2} + 25 \\ [/tex]

[tex] {a}^{2} - 4a + 68 = {a}^{2} + 2a + 26 [/tex]

Subtract sides -26

[tex] {a}^{2} - 4a + 68 - 26 = {a}^{2} + 2a + 26 - 26 \\ [/tex]

[tex] {a}^{2} - 4a + 42 = {a}^{2} + 2a [/tex]

Subtract sides -a²

[tex] {a }^{2} - {a}^{2} - 4a + 42 = {a}^{2} - {a}^{2} + 2a \\ [/tex]

[tex] - 4a + 42 = 2a[/tex]

Plus sides 4a

[tex]4a - 4a + 42 = 2a + 4a[/tex]

[tex]42 = 6a[/tex]

Divided sides by 6

[tex] \frac{42}{6} = \frac{6}{6}a \\ [/tex]

[tex]a = 7[/tex]

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Related Questions

Need HELP! ASAP!! I’ll mark BRAINLIEST if you answer RIGHT!!

Answers

Answer:

The 1st and second is yes and the last one is no.

Step-by-step explanation:

to find the mid-point you add the two x and divide it by 2 same as y.

11. What is the value of y?
1420
105°
140°
124)
88°
you

Answers

Answer:

59 degrees (just taking a shot)

Step-by-step explanation:

A six sided polygon should have a total degree total of 720 degrees. 105+142+140+124+88+x=720. When you find x, it should equal 121 degrees. Since x and y are both on a straight line, that line has to be 180 degrees. These are supplementary angles. 180-121 should equal 59.

An amusement park charges an admission fee of 40 dollars for each person.
Let C be the cost (in dollars) of the admission for P people.
Write an equation relating C to P. Then use this equation to find the cost of admission for 19 people

Answers

Answer:

the equation is c×p

and the admission for 19 people is 760

what is the product of 4/9 and 1/11? 4/99. 5/99. 9/44. 1/4

Answers

Hi!
You need to multiply them. So 4x1=4 and 9x11=99
Answer : 4/99

Answer:

Option A 4/99

Step-by-step explanation:

4 x 1 = 4

9 x 11 = 99

4/99

state the domain of the relation ? ( there is more than one?) select all that apply

Answers

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

Frieda and three of her friends decide to go canoeing. They each rent a life preserver for $12.75. They split the cost of the canoe. If each person pays $23.75, how much did the canoe cost?

Answers

Answer:

The canoe cost $44

Step-by-step explanation:

There are 4 friends that went canoeing. Each one of them spent a total of $23.75 including $12.75 for the rent of a life preserver, and for one-fourth of the canoes cost, assuming they split the total cost of the canoe.

From the $23.75, we must subtract the $12.75 that the life preserver cost:

$23.75-$12.75 = $11

Those $11 were the individual contribution to the cost of the canoe. Since there were 4 friends, the canoe cost 4*$11 = $44

The canoe cost $44

A factory worker can package 150 games in 15 minutes. How many games can he package per minute

Answers

He can package 10 games per 1 minutes. If you do 150 and divide it by 15 you get 10

What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x 2y = 14?

Answers

Hi sorry help this helped

What’s 11/3 divided in 2/3

Answers

Answer:

5 1/2

Step-by-step explanation:

11/3 divided by 2/3= 5 1/2

Which sequence of transformations creates a similar but not congruent triangle? (5 points)
A
Rotation and reflection
B
Reflection and translation
C
Translation and rotation
D
Dilation and reflection

Answers

Answer:

D. Dilation and reflection

Step-by-step explanation:

There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.

Answer:

Step-by-step explanation:

Need Help with this Appreciate!

Answers

Answer:

Whatever problem choice is equivalent to 2

Step-by-step explanation:

In the game of roulette, a player can place a $ bet on the number and have a probability of winning. If the metal ball lands on , the player gets to keep the $ paid to play the game and the player is awarded an additional $. Otherwise, the player is awarded nothing and the casino takes the player's $. What is the expected value of the game to the player? If you played the game 1000 times, how much would you expect to lose?

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The expected amount to be lost is 0.5263 cents per game

The expected amount to be lost is

[tex]P = \$ 526 .3 [/tex]

Step-by-step explanation:

From the question we are told that

The probability of winning is [tex]p = \frac{1}{38} = 0.0263[/tex]

Generally the probability of losing is mathematically evaluated as

[tex]q = 1-p [/tex]

=> [tex]q = 1-0.0263 [/tex]

=> [tex]q = 0.9737[/tex]

Generally the expected value is mathematically represented as

[tex]E(X) = \sum x_i * P(x_i)[/tex]

Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable ) are outcomes of the player winning and the player losing

[tex]E(X) = x_1 * P(x_1) + x_2 * P(x_2) [/tex]

Now the outcome of winning is making $350 so

[tex]x_1 = \$ 350[/tex]

the outcome of losing is losing $10 so

[tex]x_2 = - \$10[/tex]

[tex]E(X) = 350* 0.0263 -10 * 0.9737 [/tex]

[tex]E(X) = -0.5263 [/tex]

hence the expected amount to be lost is 0.5263 cents per game

If you played the game 1000 times, the amount that is expected to be lost is

[tex]P = 1000 * -0.5263[/tex]

=> [tex]P = -\$ 526 .3 [/tex]

Hence the expected amount to be lost is

[tex]P = \$ 526 .3 [/tex]

The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be?

The slide will have a height of
feet.

Answers

Answer:

Step-by-step explanation:

It’s 6 feet

Answer:

The answer is 6

Step-by-step explanation:

I just did it on Edgenutiy

Divide.

4 1/5 divided by 2/3

Express your answer as a mixed number in simplest form.

Enter your answer in the box.

Answers

Answer:

63/10 or 6 3/10

Step-by-step explanation:

There are 35 tables at the wedding. The tables can be lined up in equal-sized rows. Which list shows all the possibilities for the number of tables that could be placed in each row? 1, 5, 7, 35 3, 9, 35 5, 7, 14 7, 21, 35

Answers

Answer:

7, 21, 35

Step-by-step explanation:

If a person walks 1/4 in 10 minutes , how far will that person walk in one hour

Answers

Answer:

One and a half or 1 and 1/2

Answer:

6/4 or 1 and 2/4

Step-by-step explanation:

What Is 3 times blank equelas 27?

Answers

Answer:

3 * 9 = 27

Step-by-step explanation:

3 * 9 = 27

Answer:

3 times 9 equals 27

Step-by-step explanation:

3x1=3

3x2=6

3x3=9

3x4=12

3x5=15

3x6=18

3x7=21

3x8=24

3x9=27

Find the measure of angle b.
PLEAASE HELP!!

The answer is 123.
I need to show work

Answers

Answer:

b and 57 are adjacent and supplementary angles so

b+59=180

b=180-59=121

Answer:

123

Step-by-step explanation:

since a straight line is 180° you need to do this:

180°-57°

which is equal to 123

therefore the measure of angle of b is 123°

a soccer organization is going to spend 2990 dollars to purchase all sweatshirts or all jackets for its players. Sweatshirts are 26 dollars each and jackets are 46 dollars each. What is the greatest number of sweatshirts or jackets that the organization can purchase.

Answers

Answer:

121,436 to the nearest ten thousand

Step-by-step explanation:

Point A is located at (h, k). Point B is located at (h,;). Mis the midpoint of segment
AB. Determine the coordinates of point M.
w

Answers

Answer: 6

Step-by-step explanation:

he picture shows the length of an American alligator. What is the length of the alligator rounded to the nearest tenth?

Answers

Answer:

I do not see the picture of the alligator

Step-by-step explanation:

so therefore i do not the lenght of the alligator

A 2 3/4 inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1/4 or or 0.25

1Step-by-step explanation:

just do 2.75 divided by 11 and you get your answer

At rate 0.25 inch per hour the candle burn.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A 2 3/4 inch candle burns down in 11 hours.

Now,

Since, A 2 3/4 inch candle burns down in 11 hours.

Hence, The rate in which the candle burn, in inches per hour is;

= [tex]2 \frac{3}{4}[/tex] ÷ [tex]11[/tex]

= 11/4 ÷ 11

= 11/4 x 1/11

= 1/4 inches per hour.

Thus, At rate 0.25 inch per hour the candle burn.

Learn more about the divide visit:

https://brainly.com/question/24662212

#SPJ2

What is the product of (3 + 2i) and (-8 - 41)?

Answers

Answer:

-147 - 98i

Step-by-step explanation:

(3 × -8) + (2i × -8) + (3 × -41) + (2i × -41)

-24 - 16i - 123 - 82i

= -147 - 98i

7X minus one equals 6X -1 fin th value of x

Answers

Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution. Practice solving one-variable equations like 20 - 7x

A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?

Answers

Answer:

3 8 person tables. 11 5 person tables.

Step-by-step explanation:

if I have 3 B0oty's and I eat 1 how many B0oty's do I have left

Answers

Answer:

you have 2 b00tys lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps:)

Not an appropriate question to ask

The sum of three consecutive rven integers is 72. Let x represent the first integer, x+2 represent the srcond integer, and x+ 4 represent the third which equation can be used to find the first integer

Answers

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term = x + 4

Sum of the first three terms = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

(x) + (x + 2) + (x + 4) = 72

Solve for x;

x + x + 2 + x + 4 = 72

3x + 6 = 72

3x = 72 - 6

3x = 66

x = [tex]\frac{66}{3}[/tex] = 22

The first term of the sequence is 22

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

Answers

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?

Answers

510 pesos equals 24.12 U.S. dollars.

So Priya bought a sweater for 24.12 U.S. dollars.

A motorcycle travels 25 miles every 0.5 hour

Answers

Step-by-step explanation:

Per means division so this should be 25/0.5

I think you can do the problem by yourself now!

Hope this helps <3

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Henry's Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Henry's Jewelry Store places an order for 5,500 jewelry pieces, how many should they expect to be damaged? They should expect pieces of jewelry to be damaged. A line has a slope of 2 and goes through the point (4,3). What is the equation of this line in Standard Form? HELP ASAP!! What If? The rules for multiplying two integers can be extended to a product of 3 or more integers. Find the following products by using the Associative Property to multiply 2 numbers at a time. a. 3(3)(3) b. 3(3)(3 ) c. 3(3)(3 ) d. 3(3)(3)(3 ) e. 3(3)(3)(3) f. 3(3)(3)(3) After the war, how were the rights of different groups of Louisiana colonists affected? CHECK ALL THAT APPLYWomen gained the right to vote. Most African Americans remained enslaved. Free people of color could participate in government. American Indians were not allowed to vote.White men with land could not run for office. what rock is known for its layers Due to the process that occurs in the mitochondria, in which type of cell would you expect to find more of that organelle? *A.) Plant root cellB.) Human skin cellC.) Plant stem cellD.) Human muscle cell What is the difference between needs, wants and demand Can someone plzzzz help me with these two questions? Im in need of an answer for an exam lol Subtract. 1 2/5(3/5)Enter your answer, in simplest form, in the box.HELP PLEASE CYRIN RN :'( \_(-_-)_/ John and Susan find a penny, and Susan says, "I bet you can't tell me what is on thepenny". John thinks about it, and realizes he can't describe the penny. It appears thatJohn can't describe a penny because he never learned what one looked like in thefirst place. John's inability to describe the penny is an example of1) simply forgetting.2) a failure to encode.3) retroactive interference.4) proactive interference. what was one way american colonists resisted british policies before the american revolution. convert 0.00049 to scientific notation.A) 4.9 10^3B) 4.9 10^4C) 4.9 10^-3D) 4.9 10^-4 Fixed costs are _____.costs that increase regardless of how much of a good or service is producedcosts that stay the same regardless of how much of a good or service is producedcosts that decrease regardless of how much of a good or service is producednone of the above Need help ASAP pls.!!! please answer it ?? (comer) Jorge y Manuel(20 Points)con sus padres.comimosO comieronO com 4) Why is it important to do a warm up with stretching and also a cool down withstretching when exercising? You want to go to the movies with your friends and your parents offer to pay for everyone.If each movie ticket is $13.50 and you plan on splitting a giant popcorn and drink that cost$19.95 total, what is the maximum number of tickets you can buy if your parents give you$75? 3/4+7/8 what is the value of the answere need help ASAP!!!!!!The first three terms of an arithmetic sequence are as follows.- 11, - 16, - 21Find the next term in the sequence.

help me pleaseand don't spam​

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help me please
and don't spam