Solve each system by elimination.
4x+2y = 4 , 6x + 2y = 8

The required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,

For the line present at the left and third quarter is y = 3x / 2 + 21 / 2
For the horizontal curve, the equation is y = -10,
For the line in the fourth quadrant, the equation is y = x / 5 - 58/ 5.

Thus, the required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.

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Answer:

x = 22, y = 12.

Step-by-step explanation:  

5x + 4 = 114                                  (opposite angles).

5x + 4 + 3x - 24 + 2y  = 180         (adjacent angles are supplementary)

From first equation:

5x = 110

x = 22.

Substituting for x in the second equation:

114 + 3(22) - 24 + 2y = 180

2y = 180 - 114 - 66 + 24

2y = 24

y = 12.

1. 9miles

2. 6miles

3. 3miles

Answer:

Step-by-step explanation:

68 / 4 = 17 = length or width (because it is a square both are the same)

19 + 2 = 19

4(19) = 76 (perimeter of outer fence)

68(1.31) + 76(1.31) = $188.64

Answer:

this will look like

x=   y   +  4

     __    __

     10     5

the / are over so y on top of 10 and 4 over 5

The amount that you earned last month would be the total of $17.25

We have the following data

online pay bill per month = 50

The monthly online deposit = 50

The points that are made per car payment = 100

The point that is made per credit card = 1.5 points

The monthly credit card charges of $1,400

The monthly point would be 1400 * 1.5 = $2100

We have to solve for the total points

= 50 + 50 + 100 + 2100

= 2300

We have  $75 per 10,000

For 2300 points, this would be 75/10000 * 2300

= $17.25                                          

Hence the amount that is made in dollars from the points in the last month is $17.25

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(a) A = 1/2 (bh)

(b) b = P/R

(c) 8?

The result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30

Given,

The algebraic expression = 4a+7b+3a-2b+2a

Rearrange the terms

=4a+3a+2a+7b-2b

Combine the like terms

=9a+5b

We know

a= -5

b= 3

Substitute the values in the expression

9(-5)+5(3)= -45+15

=-30

Hence, the result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30

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Answer:

32 feet.

Step-by-step explanation:

If t is the time in seconds and the problem asks us what the height is after 2 seconds, then that would mean t = 2.

So, now we can substitute 2 for t and solve.

-16 × 2² + 48 ×2

-16 × 4 + 96

-64 + 96

= 32 ft.

Hope this helps!

Answer: −

3

x

+

5

y

Step-by-step explanation:

The simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2).Restriction on the variables is given by x≠ -2,  x≠ 2.

As given in the question,

Given expression is [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex]

Simplify the given two rational expressions by factorizing them,

[tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}\\\\= \frac{1}{(x-2)(x+2)}+\frac{6}{x+2}\\\\= \frac{1+6(x-2)}{(x-2)(x+2)}\\\\= \frac{1+6x-12}{(x-2)(x+2)}\\\\= \frac{(6x-11)}{(x-2)(x+2)}[/tex]

Restriction on the variables is given by  x≠ -2,  x≠2.

Therefore, the  simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2). Restriction on the variables is given by x≠ -2,  x≠ 2.

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The equation which represents the situation is 2[(b + 3) + b] = 26 and the equation has one solution.

The correct answer option from above is option C

The perimeter of a rectangle is the addition of all the sides of the rectangle, that is, the addition of the two length and two width.

Perimeter of the rectangle = 2(length + width)

26 = 2{(b + 3) + b}

26 = 2(b + 3 + b)

26 = 2(2b + 3)

26 = 4b + 6

26 - 6 = 4b

20 = 4b

b = 20/4

b = 5

Width of the rectangle = b

= 5 meters

Length of the rectangle = (b + 3)

= (5 + 3)

= 8 meters

So therefore, length and width of the rectangle given the perimeter is 8 meters and 5 meters respectively.

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==================================================

Explanation:

We need to divide both sides by -2 to fully isolate x.

Dividing both sides by a negative number will flip the inequality sign

We go from -6 < -2x to 3 > x

Then we flip 3 > x to x < 3 which is choice C

-----------------

A slightly longer approach:

-6 < -2x

-6+2x < 0 .... add 2x to both sides

2x < 6 .... add 6 to both sides

2x/2 < 6/2 .... divide both sides by 2

x < 3

We get the same answer as the previous section. It helps show why the sign flip happened when dividing both sides by a negative number.

See below for the proof that the expression x^2 +2x+2 can only have positive values

The expression is given as

x^2 + 2x + 2

The above expression is a quadratic expression

A quadratic expression is represented as

ax^2 + bx + c

Where the discriminant (d) is

d = b^2 - 4ac

So, we have

d = 2^2 - 4 * 1 * 2

Evaluate

d = -4

Because d is negative, it means that the expression has only complex roots

Quadratic expressions that have only complex roots can only have positive values

Hence, the expression x^2 +2x+2 can only have positive values

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Answer:

Step-by-step explanation:

a² + b² = c²

18² + b² = 30²

324 + b² = 900

b² = 576

b = 24

Answer: 24

Step-by-step explanation: you use the formula: a^2 + b^2 = c^2. If you drew a picture, it would form a triangle with 30 as the length of the hypotonuse, and 18 as one of the legs. This given, we would have a^2 + 18^2 = 30^2 (hypotonuse = c) Then, solve.

Answer:

the answer is null in other words you cant

Step-by-step explanation:

The initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively

The table of linear function represents the given parameter

On the table, we have the following points

(x, y) = (6, 980) and (12, 800)

The rate of change is calculated as

Rate = (y2 - y1)/(x2 - x1)

So, we have

Rate = (980 - 800)/(6 - 12)

Evaluate

Rate = -30

This means that the rate of change is -$22.5

The initial amount is calculated as

y = m(x - x1) + y1

Where

m = -30

So, we have

y = -30(x - x1) + y1

Using one of the points, we have

y = -30(x - 6) + 980

Set x = 0

So, we have

y = -30(0 - 6) + 980

Evaluate

y = 1160

Hence, the initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively

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Answer:

2 3/4 divided by 5/6 = 3 3/10

1 1/3 divided by 1/4 = 5 1/3

2/5 divided by 1 2/5 = 2/7

5/7 divided by 3 1/5 = 25/112

2 2/7 divided by 2 2/7 = 1

Answer:

the volume of the sphere is 1436.76

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.

Segment JK = Segment KL

8x + 11 = 14x - 1

Collect like terms

8x - 14x = -1 - 11

-6x = -12

x = -12/-6

x = 2

Hence, the numerical values of Segment JK and Segment KL will be;

Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27

Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27

Since Segment JK and Segment KL makes up segment JL, the numerical  value of Segment JL is the sum of Segment JK and Segment KL.

Segment JL = 27 + 27 = 54

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

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The solution of the given expression is fraction 4/5.

The result of multiplying an integer by the same integer is recognised as a square number.

The given expression is;

= 4(3² - 7)/10

we know that 3² = 3x3 = 9, put the value;

= 4(9 - 7)/10

= 8/10

Divide both numerator and denominator by 2.

= 4/5

Thus, the obtained expression is 4/5.

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Answer:

5200 people

Step-by-step explanation:

1. Divide 100 by 5 (How many sets of 5 are there in 100)

100/5 = 20

2. Multiply 260 by 20 (To find the number of people, you need to find 100%)

260*20 = 5200

Answer:

5200

Step-by-step explanation:

Answer: 8m

Step-by-step explanation:

Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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The temperature at 6pm based on the information will be 16.6°F.

From the information, at 9 am, the temperature was -1.7°F, between 9am and noon, the.temperature increased by 18.1°F, between noon and 3pm, the temperature increased by 14.8°F and between 3pm and 6pm, the temperature dropped 14.6°F.

Therefore, the temperature at 6pm will be:

= -1.7°F + 18.1°F + 14.8°F - 14.6°F

= 16.6°F.

Therefore, the temperature at 6pm based on the information will be 16.6°F.

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According to the question, the total amount of rope needed to extend the two stakes supporting the tree in trigonometry can be determined by using the functions sine and cosine.

Explain trigonometric function with example.

If the rope can be tied with the tree trunk then the staked rope makes an angle with respect to the ground. And it can be calculated with the help of the trigonometric functions. And it states that the ratio of the length of the opposite sides and the hypotenuse of the right angle triangle. And the result of the ratio is sine function.

Therefore, the total amount of two ropes needed so that it extends to the two stakes of the supporting trees.

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The sum of three consecutive integers is -48 then the least of the three integers is -16.

Consecutive numbers are numbers that follow each other in descending order from smallest to largest.

Consecutive numbers are those that come after each other in descending order from the smallest to the largest. The difference between consecutive numbers is always fixed and follows a predictable pattern.

The numbers are x-1, x, and x+1.

(x-1) + (x) + (x+1) = -48

simplifying the above equation, we get

x - 1 + x + x + 1 = -48

x + x + x + 1 - 1 = -48

3x + 1 - 1 = -48

3x = -48

Dividing throughout by 3, we get

x/3 = -48/3

x = -16

The value of x = -16.

The sum of three consecutive integers is -48 then the least of the three integers is -16.

Therefore, the correct answer is option B. -16.

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The coordinates of the midpoint of a segment with the given endpoints will be (-19, 5).

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-28, 8) and C(-10, 2).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(-28 - 10) / 2, (8 + 2) / 2]

(x, y) = (-38/2, 10/2)

(x, y) = (-19, 5)

The coordinates of the midpoint of a segment with the given endpoints will be (-19, 5).

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