9/2x -6y = 12
3x - 4y = 8

Answer:

Step-by-step explanation:

Find the x and y intercept, and determine the slope.

X-intercept:

[tex]0=-\frac{1}{2}x-1\\1=-\frac{1}{2}x\\x=-2[/tex]

It crosses the x-axis at x = -2

Y-intercept:

[tex]y=-\frac{1}{2}(0)-1\\y=-1[/tex]

It crosses the y-axis at y = -1

Slope:

y = mx + b

m = slope = -1/2

The graph of the linear equation y = -(1/2)x - 1 is plotted.

Given data:

To graph the equation y = -1/2x - 1, use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

So, the slope is -1/2, and the y-intercept is -1.

To plot the graph, follow these steps:

Plot the y-intercept:

Start by plotting the point (0, -1), which represents the y-intercept.

Use the slope to find another point: Since the slope is -1/2, use the rise and run method. From the y-intercept point (0, -1), move down 1 unit (negative 1) and then move to the right 2 units. This gives another point on the line, which is (2, -2).

Hence, the resulting graph should be a straight line sloping downwards from left to right and is plotted below.

To learn more about equation of line, refer:

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Answer:

30

Step-by-step explanation:

To calculate the mean, add up all the numbers in the data and divide the sum by the number of numbers in the data.

(18+36+24+36+30+36)/6 = 30.

Answer:

30

Step-by-step explanation:

To find mean, add up all the numbers, then divide by how many numbers there are:

18 + 36 + 24 + 36 + 30 + 36/6

180/6 = 30

Hope this helps :)

Answer:

x = -0.441 and x = -2.359

Step-by-step explanation:

The given equation is :

[tex]2(5x+7)^2-13=33[/tex]

Adding 13 to both sides of the equation.

[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]

So,

[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]

So, the solution of the given equation is x = -0.441 and x = -2.359.

Answer : 99cm^2

Hope this helps

The area of the triangle with a height of 11 cm and a base of 18 cm is,

99 cm².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know,

The way of classifying a triangle,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

The area of a triangle is half times the product of the height and base.

The given triangle has a height of 11 cm and a base of 18 cm.

Therefore, The area of the triangle is,

= (1/2)×18×11 cm².

= 99 cm².

learn more about triangles here :

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Answer:

73

Step-by-step explanation:

Answer:

73

Step-by-step explanation:

13+15*4

13+60

73

Answer:

An insurance company polls drivers of sports cars to find their average number of tickets.

Step-by-step explanation:

It’s bias because they’re only polling people with sports cars

Answer:

$16.20

Step-by-step explanation:

Bill: $54.00

Tip: 20%

People: 4

To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40

10%: $5.40

5.40 times 2 = $10.80

54.00 + 10.80 = 64.80

Grand Total= $64.80

Since there are 4 people, we need to divide by 4:

64.80 divided by 4 = $16.20

Answer:

The second one and the third one.

Step-by-step explanation:

The answer is 5*2+5*4

Answer:

n would be -4

Step-by-step explanation:

(two negatives multiplied together make a positive)

-4n = 16

/-4    /-4

n = -4

Answer:

10

Step-by-step explanation:

5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10

Answer: y= 7/6x-5

Step-by-step explanation:

The equations of parallel lines have the same slope or rates.

The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

The equation is given as:

[tex]\mathbf{6x + 7y = -49}[/tex]

Make 7y the subject

[tex]\mathbf{7y = -6x-49}[/tex]

Make y the subject

[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]

A linear equation is represented as:

[tex]\mathbf{y =mx + b}[/tex]

Where m represents the slope.

So, we have:

[tex]\mathbf{m = -\frac 67}[/tex]

Parallel lines have the same slope.

So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Substitute [tex]\mathbf{m = -\frac 67}[/tex]

[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Read more about parallel lines at:

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Answer:

1.75 liters is left

Step-by-step explanation:

1ml is 1000ml

Answer:

1,750 milliliters left.

Step-by-step explanation:

2.5 liters equal 2,500 milliliters. So u do 2,500 - 750 which gives you 1,750

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

Answer:

200 or 2 I guess

Step-by-step explanation:

Ion really get wym by “ what is the face”

Answer:

£460

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2300 × 0.05 × 4 = 460

I = £ 460.00

The simple interest accumulated

on a principal of £ 2,300.00

at a rate of 5% per year

for 4 years is £ 460.00.

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

Answer:

True

Step-by-step explanation:

it all equals the same

Answer:

yes

Step-by-step explanation:

yes

Answer: 25

Step-by-step explanation:

7 + -6(-3)

7 + 18 = 25

Answer:

25

Step-by-step explanation:

x= -6

7+ -6(-3)=

7+ (18)=25

25

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)

Answer: 20 g butter, 10 g sugar, 30 g flour

Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.

So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.

120/6 = 20

60/6 = 10

180/6 = 30

Answer:

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

Step-by-step explanation:

If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.

Answer:

-4

Step-by-step explanation: