Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]

[tex] slope(m) = \frac{1}{4} [/tex]

The slope of the line that is parallel to the blue line is ¼.

Answer:1

Step-by-step explanation:6-5/3-2=1/1

Answer:

1.00434

Step-by-step explanation:

Given the following :

Given a normal distribution ;

Mean (m) = 1.0 liter

Standard deviation (σ) = 0.01 liter

Sample size (n) = 25

For 97% sample means (sm) = 0.97

Z = (m - sm) / s

Zcrit = 1 - (100% - 97%)/2

Zcrit = 1 - (0.03/2)

Zcrit = 1 - 0.015 = 0.985

The z score which corresponds to 0.985 = 2.17

Upper limit : m + z*(σ/√n)

Upper limit : 1.0 + 2.17*(0.01/√25)

Upper limit : 1. 0 + 2.17*(0.01/5)

= 1.0 + 2.17*0.002

= 1.0 + 0.00434

= 1.00434

Answer:

105 degrees

Step-by-step explanation:

180 - 75 = 105

Answer:

6

Step-by-step explanation:

Fid the difference in the y-coordinates of any two points. This is the rise.

Then find the difference in the corresponding x-coordinates of the same points. This is the run.

slope = rise/run

Let's use x = 12, x = 15, and y = -4, y = 14.

rise = -4 - 14 = -18

run = 12 - 15 = -3

slope = rise/run = -18/(-3) = 6

Answer: slope = 6

The distance between points (-6,5) and (3,-7)​ is 15 units.

In the coordinate plane, the points are denoted by coordinate and the distance means the physical distance between them.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

Given the points  (-6,5) and (3,-7)​

Here x₁ = -6 , x₂ = 3

y₁ = 5 and y₂ = -7

So,

[tex]d = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {5 +7 } \right)^2 }[/tex]

d = √225

d = 15 units.

Hence "The distance between points (-6,5) and (3,-7)​ is 15 units".

To learn more about the distance between two points,

https://brainly.com/question/24485622

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Answer:

To the nearest hundredth, this has a value of 0.01

Step-by-step explanation:

To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;

Mathematically, that will be ;

218929/27323632 = 0.008012441391393

To the nearest hundredth, this represents 0.01

Answer:

to be able to derive the formula if needed

Step-by-step explanation:

as you gain more class grades they sometimes ask you the origin of a certain formula that's why

Answer:

How many steps does pete take every second? one?if so, lisa and amy wouldn't start on steps, they would start further back

The length of LA in the triangle will be 8.

From the information given, it was stated that both the triangles are similar.

In this situation, the length of LA will be:

= (12 × 4)/6

= 48/6

= 8

Therefore, the length of LA in the triangle will be 8.

Learn more about triangles on:

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Answer:

-18

Step-by-step explanation:

Follow these steps to get your answer!

Divide 36/9 and multiply -6(7)

25 - 5 + 4 - 42

Subtract 25-5

20 + 4 -42

Add 4 to 20.

24-42

Subtract 42 from 24.

-18

Answer:

-18

Step-by-step explanation:

start with the figure in brackets. 6(7)=42

then do division. 36/9=4

our expression now is 25-5+4-42

addition first 25+4=29

finish with subtraction. 29-5-42=-18

answer=-18

Answer:

the scale factor is 9 and x = 58.5

Step-by-step explanation:

to get the scale factor just do DE/AB so 27/3

Answer:

70x - 70 if it means 5 * 7 * (2x - 2)

Step-by-step explanation:

You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.

If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.

The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1

The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1

1 = 1, so these lines are parallel

Answer:

$749 each

Step-by-step explanation:

Answer:

(x-2)(x+1)(x-5)

Step-by-step explanation:

Answer:

x - 1

Step-by-step explanation:

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

Answer:

60 + 7 =

Step-by-step explanation:

its correct lol omg sjsjsjjsjsjsssjsjsnsnssn

Answer:

Answer: 67

10 x 6 + 7 = 67

Answer:

width: 3.83

length: 3.66

Step-by-step explanation:

The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.

length + length + width + width = 15

(2w-4) + (2w-4) + w + w = 15  ... combine like terms

6w - 8 = 15  ... add 8 on both sides

6w = 15 ... divide both sides by 6

w = 3.83

Now that we know the value for the width we can plug it into the formula for the length to find its value

l = 2w - 4

l = 7.66 - 4

l = 3.66

Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66

Answer:

-7

Step-by-step explanation:

(-12)-(-5)

negative and negative make a positive

-12+5

= -7

Answer:

-7

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

First, you need to take the cost of the magazine off the total which Jayda spent

34-6=28

Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.

28÷7=4

Each bag of marshmallows costs 4

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Answer:

P(x) = 5x - 600

Step-by-step explanation:

Given

Cost function C(x) = 600+2x

revenue function R(x) = 3x

If the profit function is related by the equation

P(x)=R(x)-C(x)

P(x)= 3x - (600-2x)

open the parenthesis

P(x) = 3x - 600 + 2x

P(x) = 3x+2x - 600

P(x) = 5x-600

Hence the profit function in standard form for Manuel's new product line is P(x) = 5x - 600

Answer:

h(-11)=-52

Step-by-step explanation:

Answer:

h(x)=52

Step-by-step explanation:

so x= -11 now plug in for x and solve

5(-11)+3

-55+3= -52

Answer:

1st answer is 1/2x^5

2nd answer is m^3/16p^2q^2

3rd answer is 2r^4+9r^3

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.