Day 2- Real World- Midpoint

While planning the layout of her yard, Laura created a grid

system representing her backyard. On the grid, Laura placed

the center of a herb garden at the coordinates (3.14) and wants

to place a bird bath at the point (7,29). If Laura wants to

position the center of a flower garden so that the bird bath is

halfway between the herb and flower gardens, at what

coordinates should the center of the flower garden be placed?

(11, 150

O (11,44)

O (4,44)

O (4,15)

Help

Answers

Answer 1

Answer:

Point of the flower garden  R ( 11, 44 )

Step-by-step explanation:

Let´s call   P (  3, 14 ) The center of the herb garden, and Q ( 7 , 29 ) the birdbath point

Differences in coordinates of these two points are:

x axis        7 - 3   = 4

y axis     29 - 14  = 15

Then the point Q ( x , y ) will be at:  Q ( 11, 44)

x axis    x = 11 because    7 + 4 = 11 means that the coordinate 7 is just halfway way between coordinates (x)  3 and 11  ( 4 above 3, and 4 below 11)

Reasoning the same way we conclude y = 44 in this case 29 is just halfway between coordinates  (y) 14 and 44 ( 15 above 14 and 15 below 44)

We can probe getting distance d₁  between P and Q  and d₂ distance between Q and R as:

d₁ = √ (7-3)² + ( 29-14)²

d₁ = √ 16 + 225

d₂ = √ (11 - 7)² +  ( 44 - 29)²

d₂ = √ 16 + 225


Related Questions

Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 2 liters per minute. Which equation below best represents how many minutes, m, will it take for the two containers to have the same amount of water?

Answers

Answer:

There is no equation?

Step-by-step explanation:

for a review, help would be appreciated (:

Answers

Answer:

Blurry as'.'s picture I cant see nothin

Step-by-step explanation:

marina wants to make 6 dozen cookies for the school bake sale. how much milk and mix does she need?
Number of cookies: 24
amount of mix: 2 1/2
amount of milk: 1 1/4

Answers

You would multiply the milk and mix by 3. Which is 7 1/2 mix and 3 3/4 milk

Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x​

Answers

The answer to this question is A

A farmer sells peaches and kiwis at a farmers market. The peaches sell for $3.50 per pound and the kiwis sell for $2.75 per pound. The farmer's truck can carry 1,800 pounds of fruit.
If the farmer sells all 1,800 pounds of fruit that he brings to the market, what is the maximum and what is the minimum amount of money he can earn? Provide support for your answer.

Answers

Answer:

2000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

3/4 divided by 8/9
A. 1/2
B. 2/3
C. 26/35
D. 27/32

Answers

Answer:

27/32

Step-by-step explanation:

Answer:

D. 27/32

Step-by-step explanation:

3/4 / 8/9

3/4*9/8

27/32

Graph the parabola.
y = 3x + 6x-3

Answers

Answer:

15

Step-by-step explanation:

Find the missing angles.

Answers

Answer:

150

Step-by-step explanation:

The front porch has a width of 2x feet, length of 8
feet, and its area is 112412. What is the width?

Answers

i think it’s 16 since there’s an x on 2 so you have to multiple 2x8

f(x) = 2x^3 g(x) = x-3

find f(2)
find g(4)
find (f+g) (x)

Answers

[tex]f(x) = 2 {x}^{3} [/tex]

[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]

_________________________________

[tex]g(x) = x - 3[/tex]

[tex]g(4) = 4 - 3 = 1[/tex]

_________________________________

[tex](f + g)(x) = f(x) + g(x) [/tex]

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

_________________________________

Done...♥️♥️♥️♥️♥️

what is the value of x (3x-3) 6(x-10)​

Answers

Answer:

x = 21

Step-by-step explanation:

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?

Answers

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h

Answers

Answer:

[tex]b=\dfrac{2A}{h}[/tex]

Step-by-step explanation:

The formula for the area of a triangle is given by :

[tex]A=\dfrac{1}{2}bh[/tex] ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

[tex]2A=bh[/tex]

Now dividing both sides by h. So,

[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]

So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].

Find the value of (27) to the - 2/3

Answers

Answer: Yes. For example: (27)^2/3 would be 3^2 which = 9.

Step-by-step explanation: Hopefully this help :D ask for more help if you need!

The function that represents the amount of caffeine in milligrams remaining

Answers

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.

Say that Malaysia has a workforce of 11,071,016, with an average yearly salary of (equivalent US dollars) $15,196. How much more revenue will the Malaysian government gather if it sets the income tax at 17% than if it sets the income tax at 8%, to the nearest million dollars? a. $21,059 million b. $16,824 million c. $15,141 million d. $13,459 million

Answers

Answer:

c. $15,141 million

Step-by-step explanation:

Population = 11,071,016

Average salary = $15,196

Tax rate 1 = 17%

Tax rate 2 = 8%

Revenue from tax :

Tax rate * average salary * population

To obtain the revenue difference :

(11,071,016 × $15196 × 17%) − (8% × $15196 × 11,071,016)

= $15,141,164,322.24

Answer:

c.

$15,141 million

Step-by-step explanation:

There are three times elephants compared to giraffes in the safari. If there is a total
of 88 elephants and giraffes, how many elephants are there in the safari?

Answers

Answer:

66 elephants

Step-by-step explanation:

88 divided by 4= 22

Therefore, there are 22 giraffes.

88-22=66. Therefore, there are 66 elephants. Hope this helps, feel free to ask for a more in depth explanation!

(1, 7); slope = -1 please help fast

Answers

Answer:

y = - x + 8

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = -x + b     Input Slope

Step 3:

7 = - 1 ( 1 ) + b    Input x and y

Step 4:

7 = - 1 + b      Multiply

Step 5:

b = 8     Add 1 on both sides

Answer:

y = - x + 8

Hope This Helps :)

When Andy goes to the shop ,he finds that:
The regular price of a single candy bar is 79 cents.
Packs of 5 candy bar cost $3.
There is a special offer of “buy two get one free”.

Question 1.find the cost of buying 20 single candy bars at the regular price.
Question 2.how much will Andy pay if he buys 20 candy bars in packs of 5?
Question 3.find the cost of buying 20 candy bars at the special price.

Answers

Answer:

1. $15.80

2. $12

3. $11.06

Step-by-step explanation:

Step-by-step explanation:

1. Buying 20 single candy bars at regular price

The regular price of one is 79 cents.

(# of bars) X (price per bar) = regular price

20 X 79 cents = 1580 cents

1580 cents = $15.80

2. Buying 20 bars in packs of 5

Each pack is $3

(# of packs) X (price per pack) = pack price

(20/5) X ($3) = pack price

4 X $3 = $12

3. Buying 20 bars at special price

For every 2 bought, 1 is free.

(Number of bars paid for) X (price per bar) = special price

(2(20/3)) X (0.79) = special price

14 X 0.79 = $11.06

Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.

Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.

Order the fractions 1/2, -2/3, -3/8 0 from least to greatest

Answers

Answer:

-2/3, -3/8, 0, 1/2

Step-by-step explanation:

The small squares on a chessboard can be combined to form larger squares. For example, there are sixty-four 1x1 squares and one 8x8 square. Use inductive reasoning to determine how many 2x2 squares, 3x3 squares, and so on, are on a chessboard. What is the total number of squares on a chessboard?​

Answers

Answer:

204

Step-by-step explanation:

Given that a 1x1 square can be located in 8 places horizontally and 8 places vertically,

Then we have 1x1 squares: 8² = 64

Again the subsequent squares will be written as

2x2 squares: 7² (2 squares in 7 places both horizontal and verticals) = 49

3x3 squares: 6² (3 squares in 6 places both horizontal and verticals)= 36

4x4 squares: 5² (4 squares in 5 places both horizontal and verticals)= 25

5x5 squares: 4² (5 squares in 4 places both horizontal and verticals)= 16

6x6 squares: 3² (6 squares in 3 places both horizontal and verticals)= 9

7x7 squares: 2² (7 squares in 2 places both horizontal and verticals)= 4

8x8 squares: 1² (8 squares in 1 places both horizontal and verticals)= 1

Hence, the total number of squares on chessboard is 1+4+9+16+25+36+49+64 = 204.

What is 17 : 3 to 740

Answers

Answer:

629 : 111

Step-by-step explanation:

17 + 3 = 20

20 goes into 740 exactly 37 times.

So what you are looking for is:

17 x 37 : 3 x 37

Which  makes your answer:

629 : 111

let me know if this helps!!

anyone in flvs? we should find each other in live lessons lol

Answers

Answer:

nope

Step-by-step explanation:

Which angles are adjacent?

Answers

Answer:

D) mln and kln

Step-by-step explanation:

angles are adjacent when they have a common side and a common vertex, they have to share both a side and vertex

A basketball player made 55 baskets in a season. Of these, 20% were three-point shots. How many three-point shots did the player make?

Answers

Given:

A basketball player made 55 baskets in a season.

20% of these baskets were three-point shots.

To find:

The number of three-point shots.

Solution:

We have,

Total number of baskets = 55

Number of three-point shots = 20% of total baskets

Now,

[tex]\text{Number of three-point shots}=\dfrac{20}{100}\times 55[/tex]

[tex]\text{Number of three-point shots}=\dfrac{1}{5}\times 55[/tex]

[tex]\text{Number of three-point shots}=11[/tex]

Therefore, the number of three-point shots did made by the player is 11.

Martha earns $24 in four hours. How much would she
earn in 10 hours?

Answers

Answer:

$60

Step-by-step explanation:

24/4=6

6*10=60

Answer:

$60

Step-by-step explanation:

24 ÷ 4 = 6

6 × 10 = 24

she makes $6 an hour. $60 in ten hours.

please help me with this .
i’m going to give out the brainly thingy

Answers

Answer:

Comment if you ready for me to give you an answer

Also message me please.

Step-by-step explanation:

Answer

B

Step-by-step explanation:

Basically divide the Number of Candles by the price.

A) $2.40/2 = $1.20

B) $3.50/5 = $0.70

C) $8.00/10 = $0.80

D)$9.48/12 = $0.79

B cost the least at $0.70

Consider these three numbers written in scientific notation.

1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67

Answers

The correct order from least to greatest is:

9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.

What is scientific notation?

Scientific notation is a system that simplifies very big or small numbers by using 10^... In this case, the number multiplied by the power of 10 indicates the number of 0 or digits before the period (.) in case the number is negative or after the period (.) in case, the number is a positive integer.

Numbers in scientific notation to standard form:

To understand which number is the smallest/greatest let's convert these numbers to regular notation:

1.67 x 10^4 = 167009.7 x 10^-6 = 0.00000974.5 x 10^9 = 4500000000

Based on this, the correct order is:

9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.

Note: This question is incomplete because the complete numbers are not provided. Here is the missing section.

Consider these three numbers written in scientific notation.

1.67 x 10^4

9.7 x 10^-6

4.5 x 10^9

Learn more about numbers in: https://brainly.com/question/17429689

Answer:A. 115

B. 200

C. 11,500

D. 20,000

Step-by-step explanation:

what is /4 of 3/4 =
What is 1/4 of 3/4

Answers

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:

3/16

Answer:

3/16

Step-by-step explanation:

1/4 of 3/4

= 1/4 × 3/4

you multipy the numerators together and then multiply both denominators

ie. 1×3 divided by 4×4

= 3/16

Nine less than five times a number is equal to -30.

Answers

Answer: 5x-30-9

-159

Step-by-step explanation:

-159 is the answer

Other Questions
How are ecological islands different from geographical islands as described from the reading in the text? There are 55.0 g of neon gas in a 3.0 L cylinder, the pressure is 4.5 atm what is the temp of the gas What are the building blocks of proteins?O sugarsO fatty acidsO amino acidsO nitrogen bases 5. The synapse is part of the firing process of a neuron.(1 Point)O trueOr O false Which statement best explains why nations must trade?A. All nations belong to free trade agreements.B. All nations seek out new production needs.C. No nation has all necessary resources.D. No nation can employ all of its laborers. escriba estar oraciones de forma interrogaiva The children play soccer in the parkHE CALLS TO HIS GIRLFRIENDTHE GIRL TAKES PHOTOGRAPHSMARY DRINKS WATERMY FRIENDS SING IN THE DISCOThey play in the afternoonMY GRANDFATHER KISSES TO MY GRANDMOTHERHE SELLS FRUITSTHEY DANCE VERY WELL According to the excerpt the social contract, what do the people and the government agree to as a part of the contract? What is Sa Prathama Sanskrati Vishvavara? Select all the distribution shapes for which the median could be much less than the mean. Group of answer choicessymmetricbell-shapedskewed leftskewed rightbimodal For art class, Mia needs to cut out triangles that take up exactly 9 cm. Which is a possible measurement? HELP!! Please answer! Use the Gordon growth model formula to compute the price of a stock that will pay a $5 dividend per share next year and the dividend is expected to stay at $5 forever. Assume 5% cost of equity. The price of the stock today is $______ When a parachute opens, the air exerts a large drag force on it. This upward force is initially greater than the weight of the sky diver and, thus, slows him down. Suppose the weight of the sky diver is 915 N and the drag force has a magnitude of 1061 N. The mass of the sky diver is 93.4 kg. Take upward to be the positive direction. What is his acceleration, including sign 3 1/8 divided by 1/2 TestTestActive12345TIME REMAINING01:47:04Which statement correctly explains how Andre could find the solution to the following system of linear equations usingelimination?(85-9-15(75-21-12O Multiply the first equation by -7 and the second equation by 8, and then subtractO Multiply the first equation by -7 and the second equation by 8, and then add.O Multiply the first equation by 2 and the second equation by 9, and then add.O Multiply the first equation by -2 and the second equation by 9, and then subtract. question is attached,,,,,,,,,,,,,,,,,, How do some of the challenges described inthese two paragraphs about adaptation differ from Ha's experiences as arefugees Describe the purposes of the Internet. Include various viewpoints, including that of users and providers.Can u guys help me to write an introduction please what most contributed to the strength of ancient Chinese dynasties? gasoline has a comparatively high btu per galloon rating around?