The diagram shows a straight line ABCD.
A is the point (−260,480) D is the point (620,−180)
The line cuts the y-axis at B and the x-axis at C.

The Diagram Shows A Straight Line ABCD.A Is The Point (260,480) D Is The Point (620,180)The Line Cuts

Answers

Answer 1

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = [tex]\frac{-180-480}{620-(-260)}[/tex] = [tex]\frac{-660}{620+260}[/tex] = [tex]\frac{-660}{880}[/tex] = - [tex]\frac{66}{88}[/tex] = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

Answer 2

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!


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The garden club bought 2,360 tulip bulbs. They want to split the bulbs equally into at
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Step-by-step explanation:

13(16.5)+12(16.5)+5(16.5)

16.5(13+12+5) = 30(16.5) = 495 ft²

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Answer:

256/3π

Step-by-step explanation:

Volume of Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

So by subbing into the equation:

[tex]\frac{4}{3} \pi 4^3[/tex] = 4/3π x 64 = 256/3 π

What is the value of x if 2 over 2x plus 1 over 2x is 1 over 2

Answers

Answer:

3/4 = x

Step-by-step explanation:

2/2x + 1 = 1/2

2/2x + 1 * 1/2x = 1/2 * 1/2x

2 + 1 = 1/4x

3 = 4x

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Eric wants to create a scale drawing of a house. The scale drawing needs to fit on a piece of paper that is 6 inches wide. The drawing itself must be ate least 3 inches wide. A. Drag numbers into the box to show an appropriate scale for the drawing. B. Use the Connect Line tool to create a drawing based on the scale you chose in Part A

Answers

To build a scale model we must take into account the original measurements of the original house.

What is a scale model?

A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.

How to build a scale model?

To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.

For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.

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Answers

Answer:

Step-by-step explanation:

I did two of them for you

Use distributive on the right side and you will find the correct answer

The screen shot should help you.

Find the height of a triangle if the area is 42 square units and the base is 7 units.

Answers

Answer:

your answer is 12

Step-by-step explanation:

Base 7 Area 42

Using the formula

A= hb over 2

Solving for hb

hb=2A

b=2·42

7=12

hope this is not to confusing but the answer is 12.

Fining the Unit Rate.​

Answers

Answer:

See below ~

Step-by-step explanation:

Option A

Unit Rate = $2.49 / 24Unit Rate = $1.04 per bottle

Option B

Unit rate = $6.00 / 48Unit rate = $0.13 per bottle

Option C

Unit rate = $1.86 / 12Unit rate = $0.16 per bottle

Option C has the lowest rate, hence it is the best deal.

A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Circumference of the wheel is :

[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]

c = circumference

r = radius

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

Now, equate both the equations ~

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]

radius of wheel is 80 cm

[ To the hundredth place : 0.796 m ]

i need answers asap pleaseeee

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Answer: A

Step-by-step explanation:

what is 128 : 144 in the form of n:1

Answers

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 128 and 144 is 16Divide both the numerator and denominator by the GCD

128 ÷ 16144 ÷ 16Reduced fraction: 89

Therefore, 128/144 simplified to lowest terms is 8/9.

A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. what is the length of the rectangle? to find the length of the rectangle, use 45x2 − 42x − 48 as the and 5x − 8 as the .

Answers

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

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https://brainly.com/question/10046743

Answer:

First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!

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Answers

Answer:  181.8 cubic inches

Work Shown:

A = area of the base

A = length*width

A = 9*10.1

A = 90.9

V = volume of the pyramid

V = (1/3)*(Area of the base)*(height)

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Help?? I could really use it

Answers

Answer:

16.5 m

Step-by-step explanation:

The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.

a² + b² = c²

a² + 32² = 36²

a² + 1024 = 1296

a² = 272

a = √272

a = 16.5

Answer: 16.5 m

The center of another circle is (-5,1) Its radius is √14 What is the equation of this circle?

Answers

Equation of a Circle

Circular equations are typically organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radius of the circle

Solving the Question

We're given:

The center is (-5,1)The radius is [tex]\sqrt{14}[/tex]

Plug the given information into the formula:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-1)^2=(\sqrt{14})^2\\(x+5)^2+(y-1)^2=14[/tex]

Answer

[tex](x+5)^2+(y-1)^2=14[/tex]

Nine more than three times a number.

Answers

It should be 9 + 3x


——————————-

Find the area of each part of the trapezoid.
Then find the total area of the trapezoid.
Area of triangle A: __ cm ^2 (exponent)
Area of rectangle: __ cm ^2
Area of triangle B: __ cm^2
Area of trapeziod: __ cm^2

PLEASE ANSWER FAST.

Answers

Answer:

Area of Triangle A = 4 cm²

Area of Rectangle = 24 cm²

Area of Triangle B = 4 cm²

Area of Trapezoid = 32 cm²  

Step-by-step explanation:

The formula to find the area of a triangle is: [tex]\frac{h_bb}{2}[/tex]

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

[tex]\frac{8}{2}[/tex] which equals 4.

So the area of Triangle A and B is 4 cm² because they are the same triangles.

The formula to find the area of a rectangle is: a times b.

a=6 and b=4

Multiply,

6 times 4 = 24

So the area of the rectangle is 24 cm²

The formula to find the area of a trapezoid is: [tex]\frac{a+b}{2}h[/tex]

A=6

B=10

H=4

So now,

[tex]\frac{6+10}{2}4[/tex]

6+10=16

16 divided by 2 is 8.

Last multiply,

8 times 4 is 32.

The area of the trapezoid is 32 cm²

Hope this helped! And have a great day!

suppose h(t)=-0.2t^2+2t models the height, in feet of a ball that is kicked into the air where as t is given time in seconds. after how many seconds does the ball reach maximum height. what is the maximum height of the ball after how many seconds does the ball reach the ground

Answers

Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.

How do you write 0.66 as a percentage

Answers

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

The end points of the diameter of a circle are (6, 0) and (-6, 0). What is the equation of this circle?

Answers

Equation of a Circle

Circular equations are organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center of the circle[tex]r[/tex] is the radius

Solving the Question

We're given:

(6, 0) and (-6, 0) are the endpoints of the diameter of a circle

To find the equation of this circle, we must determine two things:

The center of the circleThe radius

To determine the radius of the circle, find the distance between the given endpoints and divide by 2:

(6, 0) and (-6, 0)

⇒ There are 6 units between (0,0) and (6,0).

⇒ There are 6 units between (0,0) and (-6,0).

⇒ 6 + 6 = 12; the diameter of the circle is 12 units

⇒ 12 / 2 = 6

Therefore, the radius of the circle is 6 units.

To determine the center of the circle, find the midpoint of the given endpoints:

(6, 0) and (-6, 0)

⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).

⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).

Therefore, the center of the circle is (0,0).

Plug the center and the radius into the equation:

[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]

Answer

[tex]x^2+y^2=36[/tex]

What is the empirical rule????

Answers

Answer:

The empirical rule, also known as the 68 - 95 - 99.7 rule, is a statistical rule that states that in regular distribution, virutally every piece of data will fall within three standard deviations. More specifically, 68% of the data will be within one standard deviation of the mean, 95% will lie in two standard deviations, and 99.7% will be within three standard deviations.

Step-by-step explanation:

Explanation above.

hope this helps :)

Answer:

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Step-by-step explanation:

Hey guys! I need help ASAP! 5th grade math offering 15 points. I believe in u!

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Answer:

Each person will recieve between 3 and 4 liters

Step-by-step explanation:

Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.

27/8 = 3.375

3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade

need help will give brainlist​

Answers

Answer:

(C)  [tex]\frac{4x^{4} }{y{6}}[/tex]

Step-by-step explanation:

a paper has an area of 84 square inches.what is the paper’s area in square centimeters

Answers

Answer:

546

Step-by-step explanation:

Each square inch is equal to 6.5 square centimeters so you can multiply

84 × 6.5 = 546So, the area is 546 square centimeters.

Hope this helps =>

Answer:

[tex]541.93\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area in square centimeters

[tex]84\ in^2 * \frac{(2.54\ cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{(2.54)^2 * (cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{6.4516\ cm^2}{in^2}[/tex]

[tex]541.9344\ cm^2[/tex]

Answer: [tex]541.93\ cm^2[/tex]

The exchange rate is 1. 65 Bosnian markas per U. S. Dollar. The price of a refrigerator in Bosnia is 1964 markas while in the U. S. It is $1357. The real exchange rate is approximately

Answers

We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.

What is the real exchange rate?

Here we need to perform a change of units procedure.

We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.

Then we can write the relation:

1964 markas = $1357

Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:

(1964 markas)/1357 = $1357/1357

1.447 markas = $1

This means that the exchange rate is 1.447 markas per U.S. dollar.

If you want to learn more about changes of units, you can read:

https://brainly.com/question/9032119

i need help im on diagnostic!!!

Answers

Answer:

y=4z-3

Step-by-step explanation:

Electric utility poles in the form of right cylinders are made out of wood that costs $27.96 per cubic foot. Calculate the cost of a utility pole with a diameter of 1 ft and a height of 20 ft. Round your answer to the nearest cent.

Answers

Answer:

$ 439.19

Step-by-step explanation:

Volume of a cylinder =   pi r^2 h        r =  .5 ft     h = 20 ft

        V = pi (.5^2)(20)

   multiply V * 27.96 to get  $ 439.19

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x² + 8x + 7

Step-by-step explanation:

A = bh

B = x + 7

H = x + 1

A = (x+7)(x+1)

= x² + x + 7x + 7

= x² + 8x + 7

X^2+8x+7

X squared plus eight x plus 7

Three time stue number of blue tiles in a bag is the same as 30% of the number of blue tiles in the bag increased by 54. How many blue tiles are in the bag?

Answers

kil this monkey its gonna touch me

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