Graph the linear equation.

4x+6y=−12

Plot two points on the line to graph the line.

Answer: y = 2x-8

Step-by-step explanation:

Let's try to determine by substitution method. Starting from the first equation:

y = 2x-8

2·0-8 = -8

2·1-8 = -6

2·3-8 = -2

2·4-8 = 0

The first equation satisfies the conditions of the table.

The midpoint and distance between (-3,10) and (15,-2) are ( 6,4 ) and 6√13 respectively.

The midpoint formula is expressed as;

[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Given the data in the question;

Point 1(-3,10)

Point 2( 15,-2 )

Plug the given values into the midpoint formula and simplify.

[ (x₁ + x₂)/2, (y₁ + y₂)/2 ]

[ ( -3 + 15)/2, ( 10 + (-2) )/2 ]

[ ( 12)/2, ( 10 - 2 )/2 ]

[ ( 12)/2, ( 8 )/2 ]

( 12/2, 8/2 )

( 6,4 )

Therefore, the midpoint is (6,4).

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √( ( 15 - (-3)  )² + ( -2 - 10 )² )

D = √( ( 15 + 3  )² + ( -2 - 10 )² )

D = √( ( 18  )² + ( -12 )² )

D = √( 324 + 144 )

D = √( 468 )

D = 6√13

Therefore, the distance between the points is 6√13.

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Answer:

85 degrees

Step-by-step explanation:

Angle DEC = 50 degrees (vertically opposite  angles are equal).

So angle CDE= 180-45-50=85 degrees (angles in triangle sum to 180).

Because they are similar x = 85 degrees

Answer: Angles 2 and 4 = 38, Angle 1 = 142

Step-by-step explanation:

Given that angle 3 is equal to 142, the angle between 2 and 3 has to add up to 180. 142 + 38 = 180. The same applies for angle 4 and 3. So, angle 1 + angle 2 has to add up to 180. We already know angle 2, so now we just have to subtract that from 180 to find angle 1.

Answer:

2x³ + x² - 7x - 6

Step-by-step explanation:

(x-2)(2x+3)(x+1)

first: (x-2)(2x+3) = 2x² + 3x - 4x -6 = 2x² - x - 6

second: (2x² - x - 6)(x+1) = 2x³ + 2x² - x² - x - 6x - 6 = 2x³ + x² - 7x - 6

Answer:

(x-2) [(2x+3)(x+1)]

(x-2)[(2x²+2x+3x+3)]

(x-2)[(2x²+5x+3)]

(x-2) (2x²+5x+3)

2x³+5x²+3x-4x²-10x-6

Answer = 2x³+x²-7x-6

Answer: 25.2

Step-by-step explanation: hope the is helps :D

The new transformation coordinates are B""(6, 15), C""(-3, 12), and Dilate k=3 by multiplying both x and y by 3.

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

For point B,

B(1,2) → B'(1 , -2) → B"( 2, -5) → B""( 6 ,-15)

For point C,

C(-2,1) → C'( -2 , -1) → C"( -1 , -4 )→ C"" ( -3 , -12)

In order to reflect a point across the x-axis, keep the x coordinate constant while changing the y coordinate to its opposite.

<1, -3> the following translations: Add 1 to x, take 3 away from y.

Add 3 to both x and y to dilate k=3.

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Let x be the number of hamburgers sold, then the number of cheeseburgers sold can be represented as 2x. The total number of hamburgers and cheeseburgers sold is the sum of these two quantities, so we can write an equation:

x + 2x = 396

To solve for x, we can combine like terms on the left side of the equation:

3x = 396

Then we can divide both sides by 3 to get:

x = 132

So, the number of hamburgers sold on Saturday is 132.

Answer:

-8 feet

Step-by-step explanation:

63 - 71 = -8

Answer:0.45 miles

Step-by-step explanation:

Conversion

Answer:

I believe the answer is 3

Step-by-step explanation:

1) 3.50 * 5 = 17.50

2) 2.50 * 3 = 7.50

3) 17.50 + 7.50 = 25

Answer:

Step-by-step explanation:

given:

25 = 3.5x + 2.5y

8 = x +y

use substitution to solve

8-x = y

25 = 3.5x + 2.5(8-x)

25 = 3.5x + 20-2.5x

5 = 1x

x = 5

they bought 5  Captain Crunch  :P  yes,  Captain Crunch is sooooo good

and 3 yucky oatmeal packets  :P  

so 3 packets of oatmeal  :)

Answer:

314 cm³

Step-by-step explanation:

Given ::

Cone height, h = 12 cm

Diameter of cone, d = 10 cm

Hence, radius, r = diameter / 2 = 10/2 = 5cm

The volume of a cone = 1/3 πr²h

V = 1/3 * 3.14 * 5² * 12

V = 3.14 * 25 * 4

V = 314cm³

Answer:

On stock 2 will be has an average sell of $50 for higher price.

Step-by-step explanation:

stock 1 of $10 (today)+ $10 (80% chance tommorow)=$20 stock sell price and for $20(today)+$20(90% chance tommorow)= $40 this two final of price for stock 1.

Stock 2 of $10 (today)+$10(90% chance tommorow)= $20 and of $25(today)+$25(85% chance tomorrow)= $50 this two for final of it's price for stock 2.So as for Stock 2 has the average sell higher price.

Hope this helps you

Answer:

7 Can I have brainliest

Step-by-step explanation:

Answer:

103 is greater by .3

Step-by-step explanation:

103 mm equals 10.3 cm so it is greater by .3

Answer:

A

Step-by-step explanation:

When you distribute what is in the parentheses you get 2.5m + 7m=9.5m, and then you add that to m aka 1m, which is 10.5m and they both end with -2.

Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns,.

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here,

Given : we prefer a histogram of the percentages in each age class rather than the countries

It's because Different years and countries may have different overall numbers of newborns, making a comparison based on the absolute numbers difficult

If we insist on using the absolute numbers,

The group with the most population would definitely result in higher results, and make it impossible for us to see the changes in weight that happen to average inborns.

Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns.

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The time that it will take for the spaceships to meet is given as follows:

3 hours.

Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

The positive direction is considered from the first spaceship towards the second spaceship.

The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:

710,000 - 110,000 = 600,000 km.

Then the functions are given as follows:

They will meet when:

x1(t) = x2(t).

Hence:

110t = 600 - 90t

200t = 600

t = 600/200

t = 3 hours.

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The time that it will take for the spaceships to meet is given as follows:

3 hours.

How to model the situation?

Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

The slope m represents the velocity.

The intercept b represents the initial position.

The positive direction is considered from the first spaceship towards the second spaceship.

The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:

710,000 - 110,000 = 600,000 km.

Then the functions are given as follows:

x1(t) = 110t.

x2(t) = 600 - 90t. (negative as they travel in opposite direction).

They will meet when:

x1(t) = x2(t).

Hence:

110t = 600 - 90t

200t = 600

t = 600/200

t = 3 hours.

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Answer:

4 months.

Step-by-step explanation:

Tracy gets $1299.375 interest after 8 years and 3 months for an investment of  $3,500 at a 4.5% annual interest rate.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The formula for calculating Simple Interest is -

S.I. = (P×R×T)/100

where, P = initial principal balance, R = annual interest rate and T = time (in years)

So, the principal rate, P = $3,500, the interest value, R = 4.5%, and the Time is T= 8.25 years.

Applying the formula for Simple Interest -

S.I. = (P×R×T)/100

S.I. = (3500×4.5×8.25)/100

S.I. = 1299.375

Therefore, the interest amount obtained is $1299.375.

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By using the formula for the perimeter, we will get that the width of the pool is 20 meters.

Remember that for a rectangle of length L and width W, the perimeter is given by the formula:

P = 2*(L + W)

In this case, we know that the perimeter is 90m, and the length is 25m, then we know that:

P = 90m

L = 25m

Replacing that in the formula above we will get:

90m = 2*(25m + W)

now we can solve this for W.

90m/2 = 25m + W

45m - 25m = W

20m = W

The width of the pool is 20 meters.

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Answer:

6) c

7) d

Step-by-step explanation:

6) 25 + 15= 40

40+35=75

Php. 75

7) 29•3=87

150-87=63

Php. 63

Hope this helps!

The coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:

A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The vertices of the original polygon for this problem are given as follows:

A(-1,-1), B (0, 1), C (2, 2), and D (2, -1).

The scale factor for the dilation in this problem is given as follows:

k = 2.

Hence the coordinates of the vertices of polygon A'B'C'D' after the dilation are given as follows:

A'(-2, -2), B'(0, 2), C'(4,4), D'(4,-2).

(as each coordinate of each vertex was multiplied by the scale factor of 2).

The problem is incomplete, hence the coordinates of the vertices of the image after the dilation were obtained to show how the dilation works.

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Answer:

Correct answer is 8.2

I see 5 points instead of 50 pointssssss

Give 50, otherwise I will report u

Answer:

b = 4

Step-by-step explanation:

[tex]2(-2b) + 2b = -8[/tex]

[tex]=> -4b + 2b = -8[/tex]

[tex]=> -2b = -8[/tex]

[tex]=> \frac{-2b}{-2} = \frac{-8}{-2}[/tex]

[tex]=> b = 4[/tex]

The velocity of the train is given as follows:

900 m / min.

To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:

v = d/t.

In which the parameters are given as follows:

The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:

200/0.25 = 800 m / min.

(the difference in velocity is the distance covered divided by the time).

As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:

800 + 100 = 900 m / min.

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Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16