Gina Wilson All Things Algebra Unit 3 Parallel and Perpendicular Lines

Answer:

the answer is 2

Step-by-step explanation:

Bcz u choseine option and lose the next bet benefit

Answer:

4. The solution to the system of equations is: (2,-1)

5. The solution to the system of equations is: (3,5)

Step-by-step explanation:

4. What is the solution to the system of equations?

[tex]2x+3y=1\\-3x+4y=-10[/tex]

Let:

[tex]2x+3y=1--eq(1)\\-3x+4y=-10--eq(2)[/tex]

Multiply eq(1) by 3 and eq(2) by 2 and add both equations

[tex]6x+9y=3\\-6x+8y=-20\\---------\\0x+17y=-17\\y=\frac{-17}{17}\\y=-1[/tex]

So, value of y=-1

Now finding the value of x bu putting value of y in eq(1)

[tex]2x+3y=1\\2x+3(-1)=1\\2x=1+3\\2x=4\\x=\frac{4}{2}\\x=2[/tex]

So, value of x=2

The solution to the system of equations is: (2,-1)

5. What is the solution to the system of equations?

[tex]y=2x-1\\6x-y=13[/tex]

Let:

[tex]-2x+y=-1--eq(1)\\6x-y=13--eq(2)\\------\\4x=12\\x=\frac{12}{4}\\x=3[/tex]

So, value of x=3

Putting value of x in equation 1 to find value of y

[tex]y=2x-1\\y=2(3)-1\\y=6-1\\y=5[/tex]

So, value of y=5

The solution to the system of equations is: (3,5)

Answer:

Perimeter = 15

Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

Thus means that we can write the 3 terms as;

(x - 2), x, (x + 2)

Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

Thus, this side is (x + 2)

Using cosine rule, we have;

(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120

Expanding, we have;

x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)

This reduces to;

4x = x² - 4x + x² - 2x

2x² = 10x

2x = 10

x = 10/2

x = 5

Thus, other sides are;

(x - 2) = 5 - 2 = 3

And (x + 2) = 5 + 2 = 7

So,perimeter is;

P = 3x = 3 × 5 = 15

5 9 8

×    4

2 3 3

2 3 9 2

2392 is your answer

Answer:

A movie: For entertainment!!!

Step-by-step explanation:

Answer:

The relationship between the angles would be parallel because they are the exact same degree now if they were different degrees their relationship would be perpendicular but with them being the same the answer is parallel

Answer:

1a) .85/1.20 = 85/120 = 17/24. 2a) 17:24

1b) 24000/80 = 2400/8 = 300/1. 2b) 300:1

_______________________________

I believe this is what the problem is asking.

Answer:

Step-by-step explanation:

We can see y-intercept is 1 as per point (0, 1)

Using another point to find the slope (-3, -5)

So the function is:

Answer:

A system of equivalent equations is:

x + y = -3

2x - 8y = 2

Step-by-step explanation:

Given

2x + 2y = -6

x - 4y = 2

Required

Write a system of equivalent equations

A system of equivalent equations implies that:

When the new set of equation is solved, the solution is equivalent to the original equation.

To do this, we have to carry out the same operation on both sides of the given equation.

Take for instance

2x + 2y = -6

Multiply both sides by ½

½(2x + 2y) = -6 * ½

x + y = -3

x + y = -3 is equivalent to 2x + 2y = -6

Multiply both sides of x - 4y = 2 by 2

2(x - 4y) = 2 * 2

2x - 8y = 4

2x - 8y = 4 is equivalent to x - 4y = 2

Hence, a system of equivalent equations is:

x + y = -3

2x - 8y = 2

Note that there are more equivalent equations.

The results you get depend on the operation performed on the given equation.

Answer:

1, 3

Step-by-step explanation:

1. x > x

Technically, one number cannot be more than itself. It can only equal to itself.

3. –4 + x > –2 + x

If you minus x from both sides of the equation, it becomes:

-4 > -2

This is not true no matter what x is, thus it has no solution.

4. x – 2 < x + 3

If you add 2 on both sides, it becomes:

x < x + 5

This inequality is possible and has infinitely many solutions.

Note: I will update this answer and address Question 2 once the inequality sign is given :)

Answer:

Now x is equals to 11

-2(11) + 1 = - 22 + 1 = - 21

The answer is - 21

Thank you and please rate me as brainliest as it will help me to level up

Answer:

I'm pretty sure it's 16

Step-by-step explanation:

it measures up with the other triangles side

Answer:

n = 10

Step-by-step explanation:

you can also use( Math -way) its a calculator for any math problem gives you answers fast :) hope i helped  

Answer:

15%

Step-by-step explanation:

Trust me, i took the K12 test and got it correct :)

Answer:

qs,wdnfm.ew fw v

Step-by-step explanation:

wdmc vw.mv / n,v

Stocks = 250

Net income = $4,000,000

Outstanding Shares = $1,000,000

Earnings Per Share = ?

Formula: EPS = Net Income / Outstanding Shares

Solution: EPS = Net Income / Outstanding Shares

= $4,000,000 / $1,000,000

= 4

Answer: Earnings Per Share = 4

Answer:

4

Step-by-step explanation:

PLATO correct answer

Answer:

1

Step-by-step explanation:

61.26=61

59.593=60

61-60=1

Answer:

1

Step-by-step explanation:

61.26 rounded to the nearest whole number = 61

59.593 rounded to the nearest whole number = 60

61 - 60 = x

61 - 60 = 1

x = 1

Answer:

8/25

Step-by-step explanation:

Answer:

32/1

Step-by-step explanation:

Hope this helps

PLZZ MARK BRAILNELIST

Answer:

150 units woild fill the volume of the prism.

Answer: Add 11 to the other side of the equation, giving you 81. Then, since x is square you are going to need to square root both sides ([tex]\sqrt{x}[/tex] this symbol). When you do that, you should get what x is! Let me know if you still need help!

Answer:

2a^2 b^3(3a^2 b^3 - 4ab^2 + 6)

Answer:

y = x - 1

Step-by-step explanation:

If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for.  

To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x

Then, to get the y positive, divide by -1:     y = -7 + x

Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1.

You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b.  

x=1; y=0; m=1.  

So, substituting, you'd get 0 = (1)(1) + b

0=1+b     Solve

You should get b= -1, leaving your final answer as y = x - 1

y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

The slope will be same as it is parallel.

x - y = 7.

-y=7-x

y=x-7

Slope is 1.

Now equation of line passing through (1,0)

0=1(1)+c

c=-1

y=x-(-1)

y=x+1

Hence y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.

To learn more on slope of line click:

https://brainly.com/question/14511992

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Answer:

(-8,-4)

Step-by-step explanation:

Answer:

EASY (-8,-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

8C2  * 6C2

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

14C4

8C2 = 8*7/1 * 2 = 28

6C2 = 6*5 / 1*2 = 15

14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001

28 * 15 / 1001 = .4195

Answer:

x=2

Step-by-step explanation:

add 2x to both sides and subtract 5 from both sides

6x = 12

divide by 6

x=2

_44_3_10 4 0 ×53 ×<9 =02947</245

Answer:

Step-by-step explanation:

Since we are not given the dimension. Let us say the shape of the patio is a rectangle with length 30m and width 18m.

Area of the rectangle = Length * Width

Area of the rectangle = 30 * 18

Area of the rectangle = 540m²

This means that 540m² of the patio costs $2276.35. To get the cost of each square metre of patio, we will say;

540m² = $2276.35

1m² = x

cross multiply;

540x = $2276.35

x = $2276.35/540

x = $4.22

Hence each square meter of patio will cost $4.22

Note that the dimension of patio was assumed. Same explanation can be employed for any dimension.

Answer:

2/5

Step-by-step explanation:

Answer:2/5

Step-by-step explanation:

Answer:

c=100g+50

Step-by-step explanation:

c is the total cost

there is a 50 dollar fee and 100 dollars per guest

so for every guest, the cost is increased by 100

since there are g number of gusts, the price for the guests will be 100g dollars

since there is also a 50 dollar fee, 50 dollars has to be added to the 100g

therefore c=100g+50