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Triangle ABC has vertices A (3,4), B (-5,2), and C (1,4).
Determine
a) an equation for CD, the median from C to AB
i. Find the coordinates of D (th mid point).

Answer:

3/2y-3/8z

Step-by-step explanation:

-3/8(-4y)-3/8z

dysodjd kfudoandudslfhsotn

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

Answer: The blue dot is -2.1

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

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Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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the right is answer is B) alternate exterior

Answer:

m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)

m = [tex]\frac{rise}{run}[/tex]

   = [tex]\frac{2-10}{7-0}[/tex]

   = [tex]\frac{8}{7}[/tex]

   = 1[tex]\frac{1}{7}[/tex]

Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

Answer:

The first one is

5x * 10

(x is the variable) TIMES 10

Step-by-step explanation:

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

The two expressions in answer A are equivalent with each other.

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

Step-by-step explanation:

Plug in y=3/4x-4 into desmos :)

Answer:

2. Anisa gets paid $12 per hour describes a rate.

Step-by-step explanation:

A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.

Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.

Hope this helps! :)

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.

Answer:

both

Step-by-step explanation:

Luc and Ang both just didn't simply one of there equations, otherwise it is equal

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Answer:

540

Step-by-step explanation:

3% of 6000 is 180. Multiply that by 3 years and you have your result.

Answer:

5.5 rings

Step-by-step explanation:

Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)

Answer:

5 rings

Step-by-step explanation:

Hope this helps

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

Answer:

sorry... but the image is all black

I cant see anything

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

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Answer:

15 and 17

Step-by-step explanation:

x/5=3

x= 15   15/5 is 3

x/2=8.5

x=17   17/2 is 8.5

Answer:

150

Step-by-step explanation:

add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.