the points A (1, 5), B (5, 5) and C (5, 1) are 3 corners of a square ABCD. what are the coordinates of D, the 4th corner

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

Answer:

17:7

Step-by-step explanation:

68/4 = 17 and 28/4 = 7

Thus, 68:28 ratio simplified is 17:7

Answer:

The answer is 17/7 or 2.43

Answer:

see below

Step-by-step explanation:

A: Some points could be (1, 7.5), (2, 7), (3, 6.5), (4, 6), (5, 5.5) and (6, 5) because the y-coordinates all represent the heights of the candle after the x hours.

B: This is a function because no input has multiple outputs.

C: It would still be a function because no input would have multiple outputs.

Answer:

Have a great day!!

Step-by-step explanation:

Part A: my rate of change was first y= - 5x + 8 the reason i put a negative sign beforehand is that when the candle melts its height it's decreasing 

(0,8),(1,7.5)(2,7)(3,6.5)(4,6)(5, 5.5)

Part B: This is a function because there is one different output for each different input

Part C: yes, it still would be a function because the numbers haven't changed and are exactly the same and it still has one input for each output.

(0,8), (1,75), (2,7), (3,6.5), (4,6), (5,5.5)

Answer:

[tex] 2 \sqrt{71} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]

Answer: 340 cm3  

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height  

Replacing with the values given:  

V = 1/3 π (5)^2 (13) = 340 cm3  

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Given:

Step-by-step explanation:

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

This is because the product will be a trinomial and the polynomial will not result in a difference of squares. A difference of squares is when the factor are inverse to each other.

C- Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Answer: 1/7

Step-by-step explanation:

23x = -12x + 5

23x + 12x = 5

35x = 5

x = 1/7

Answer:

Maximum: 756

Minimum: 600

Step-by-step explanation:

A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:

(1+3+5+8+10)(2+4+6+7+9)

For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:

(1+2+3+4+5)(6+7+8+9+10)=600

Hope this helps!

Answer:

1/13

Step-by-step explanation:

There are 4 nines in a deck so the probability is 4/52 = 1/13

The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Total outcomes = 52 cards

         Number of cards which contain 9 = 4 cards

Probability = favorable outcomes/ total outcomes

                   = 4 / 52

                  = 1/13

Thus, The probability that a card drawn randomly from a standard deck of 52 cards is a nine is 1/13.

Learn more about Probability from:

https://brainly.com/question/11234923

#SPJ2

Answer: The answer is given below

Step-by-step explanation:

From store 1:

Latoya paid $17.64 for a 7.94-kg bag of dog food. The unit price will be the price paid divided by the quantity. This will be:

= $17.64/7.94

= $2.22 per kg

For store 2:

A few weeks later she paid $18.88 for an $8.39-kg bag at a difference store. The unit price in the second store will be: $18.88/8.39 = $2.25 per kg.

The unit price of the first store is a better buy because the price is cheaper.

Answer:

the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents

Step-by-step explanation:

To calculate the unit price we must divide by the price by the weight, thus we will obtain the value for each kilogram of dog food:

First price:

17.64 / 7.94 = 2.22

In other words, the price is 2.22 dollars per kilogram.

Second price:

18.88 / 8.39 = 2.25

In other words, the price is 2.25 dollars per kilogram.

Which means, that the price of the first store is cheaper by 0.03 dollars (2.25 - 2.22), that is to say 3 cents.

Answer:

postulates, common notions, and axioms

Answer:

a. ) 4

Step-by-step explanation:

13-5= 8

8/2=4

Answer:

A.) 2 x + 5 = 13; x = 4

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

V = 54 π units³

OR

V = 169.6 units³

Step-by-step explanation:

Volume of a cylinder = [tex]\pi r^2 h[/tex]

V = (3.14)(3)²(6)

V = (3.14)(54)

V = 54 π units³

OR

V = 169.6 units³

Answer:

22

Step-by-step explanation:

7^2 - 3^3

Exponents first

49 -27

Then subtract

22

Answer: 22

Step-by-step explanation:

Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.

Answer:

a). A = -2x² + 200x

b). Widths = 40 feet and 60 feet

Step-by-step explanation:

It is given that length of the fencing material = 200 feet

a). Peg wants to cover the vegetable garden from three sides with the given fencing material.

If length of the garden = l

and width of the garden = x

l + x + x = 200

l + 2x = 200

l = (200 - 2x) feet

Therefore, area of the garden = Length × width

A = [tex](200-2x)\times x[/tex]

A = -2x² + 200x

b). Foe A = 4800 square feet,

4800 = -2x² + 200x

2x² - 200x + 4800 = 0

x² - 100x + 2400 = 0

x² - 60x - 40x + 2400 = 0

x(x - 60) - 40(x - 60) = 0

(x - 60)(x - 40) = 0

x = 40, 60 feet

Therefore, widths of Peg's garden will be 40 feet and 60 feet.

Answer:

6 times ab

Step-by-step explanation:

3 times 2 = 6

a times b = ab

Answer:

6ab

Step-by-step explanation:

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

Answer:

a ) - 8x^7,

b ) - 4m^2 / nx,

c ) - 11a^2b^18 / 5

Step-by-step explanation:

[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]

To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7

[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]

Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx

[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]

I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

Answer:

-288

Step-by-step explanation:

math

Answer:

64.89£

Step-by-step explanation:

Given:

Theater ticket costs £63

Booking fee: 3% of original price

Solve for:

Total price of ticket

Solution:

Step 1: Select relevant procedure

The total price including the booking fee, then before working out the total price, the booking fee should be calculated.

Step 2: Perform the calculation

The booking fee of ticket is calculated by:

BF = 3% of £63 or (3/100) x 63 = 1.89

Adding up the ticket price and booking fee to get total price:

Total price = ticket price + booking fee = 63 + 1.89 = 64.89£

Hope this helps!

:)

Answer:

5050

Step-by-step explanation:

To solve via calculator, go to the MATH menu, then the 0th option should say "summation" and insert it from there.

To solve algebraically, break the summation into 2 parts. Excuse the strange formatting, I can't find a way to do it normally.

4([tex]\frac{50}{1}[/tex]∑n) -

= 4( [tex]\frac{50(50+1)}{2}[/tex]) - 50(1)

= 5100 - 50

= 5050

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

Answer:

3.5

Step-by-step explanation:

LJ/sin 23° = 9/sin 89°

LJ/0.39 = 9/0,99

LJ = (9*0.39)/0.99 = 3.517

LJ ≈ 3.5

Answer:

3.5

Step-by-step explanation:

∠K is about 3 times less than ∠J

so opposite sides have roughly same ratio

Only the last option, 3.5 is close to the length 3 times less than 9

Answer:

600

Step-by-step explanation:

the value of 6 in 6000 is thousands

600x10=6000

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

bag: 3 red + 2 black = 5 total

Box: 4 green + 1 yellow = 5 total

P(red) = number of red/ total in bag = 3/5

P(green) = number of green / total in box = 4/5

P( red, green) = P(red) * P(green) = 3/5*4/5 = 12/25

Answer:

93 square metres

Step-by-step explanation

The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.

Suppose a=7 b=3 and c=3

2(7x3)+2(7x3)+(3x3)=93

Answer:

Second Option, m+7n+30

Step-by-step explanation:

First I'd combine the m terms

22+5m-4m+7n-8

     5m-4m

        =1m

22+1m+7n+8

Now the numbers with no variable

22+1m+7n+8

22     +       8

      =30

m+7n+30 is our final answer

Answer:

7n +m +14

Step-by-step explanation:

22 +5m -4m +7n -8

=7n +5m -4m +22 -8

=7n +m +14