6. Give the slope of each line. Also, state if the lines are parallel (yes or no).
Hint: rewrite to slope intercept form.
AB: 2y + 2x = 8 and CD: y + x = 2
Slope of line AB:
Slope of line CD:
Are the lines parallel (yes or no):

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

x=(13+2)/3

5+y-1=6

y=6+1-5

Answer:

8^18

Step-by-step explanation:

8^15+3

8^18

Answer:

the answer is A

Step-by-step explanation:

because if you listen in math class you will understand why-

Answer:

A: x = 0

Step-by-step explanation:

Answer:

k = [tex]\frac{11}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3k, 6) and (x₂, y₂ ) = (k, - 5)

m = [tex]\frac{-5-6}{k-3k}[/tex] = [tex]\frac{-11}{-2k}[/tex] = [tex]\frac{11}{2k}[/tex] = 2 ( multiply both sides by 2k )

4k = 11 ( divide both sides by 4 )

k = [tex]\frac{11}{4}[/tex]

Answer:

k= 11

4 because when you find the opposite pro bioniomals with mc² and you add 45 + 3 - 6 / -5

Answer:

exact form:  n=-53/37

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable.

The properties used:

a) Distributive Property.

b) Combining Like Terms.

c) Division Property of Equality.

Given is an equation 3n-5 = 8(6+5n), we need to solve it by using Property of Equality.

Let's solve the equation step by step:

3n - 5 = -8(6 + 5n)

First, we will distribute the -8 to the terms inside the parentheses:

3n - 5 = -48 - 40n

Next, we can simplify the equation by combining like terms:

3n + 40n = -48 + 5

43n = -43

Now, to isolate n, we will divide both sides of the equation by 43:

(43n)/43 = (-43)/43

n = -1

The solution to the equation is n = -1.

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Answer:

Step-by-step explanation:

30b + 53 ≥ 18b - 83

30b - 18b ≥ -83 - 53

12b ≥ -136

b ≥ - [tex]\frac{136}{12}[/tex]

Answer:

2w

Step-by-step explanation:

that is 2 times w if you want a anwser i would need a definition of w

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

Answer:

[tex]Probability = 23.3\%[/tex]

Step-by-step explanation:

Given

Number cube

Toss = 8

Required

Probability of not landing on 3

First we need to get the probability of landing on 3 in a single toss;

For a number cube;

[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]

So; the probability is

[tex]P(3) = \frac{1}{6}[/tex]

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So:

[tex]P(3) + P(3') = 1[/tex]

Make P(3') the subject of formula:

[tex]P(3') = 1 - P(3)[/tex]

[tex]P(3') = 1 - \frac{1}{6}[/tex]

[tex]P(3') = \frac{5}{6}[/tex]

In 8 toss, the required probability is

[tex]Probability = (P(3'))^8[/tex]

This gives

[tex]Probability = (\frac{5}{6})^8[/tex]

[tex]Probability = \frac{390625}{1679616}[/tex]

[tex]Probability = 0.23256803936[/tex]

Convert to percentage

[tex]Probability = 23.256803936\%[/tex]

Approximate to 1 decimal place:

[tex]Probability = 23.3\%[/tex]

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

"222 more than 555"

can be written as the expression

2 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

"333 more than xxx"

can be written as the algebraic expression

x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

There are two variables which is u and v and is given that u is 3 and v is 7  so input that into the expression and solve.

2(3)^2 + 7      Solve the exponent first

2(9) + 7      Now multiply then add

18 + 7 = 25

Answer:

B. 200

Step-by-step explanation:

A perfect square is the multiplication of two equal integers such as 1*1=1, 2*2=4, 3*3=9. From the examples, 1, 4, 9 are perfect square.

Non perfect square numbers are 1*2=2,

3*1=3,

5*1=5,

3*2=6,

6*1=6,

7*1=7

Examples of perfect squares:

1*1=1

2*2=4,

3*3=9,

4*4= 16,

5*5=25,

6*6=36,

7*7=49,

8*8=64,

9*9=81,

10*10=100,

11*11=121,

12*12=144,

13*13=169,

14*14=196,

15*15=225 and so on

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

2000 | 2

1000 | 2

500 | 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2000 = √2².√2².√5².√5

√2000 = 2.2.5√5

√2000 = 20√5

(aproximadamente 44.72135955)

Answer:

one line

two planes intersect in one line

Isolate the variable with algebraic manipulation.

[tex]V=\frac{1}{3}\pi r^2h[/tex]

[tex]3V=\pi r^2h[/tex]

[tex]\frac{3V}{\pi r^2}=h[/tex]

Hope this helps.

頑張って!

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )

Answer:

x=4

Step-by-step explanation:

first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2

the equation would then be 5x-4x+2=6

add the x's together which turns the equation to 1x+2=6

minus 2 from both sides of the equation which gives you x=4

The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the value of x in the equation

Given that the equations as :

⇒ 5x − 2(2x − 1) = 6

Open the parentheses and apply the multiplicative property,

⇒ 5x - 4x + 2 = 6

Apply the subtraction operation in the terms of x

⇒ x + 2 = 6

⇒ x = 6 - 2

⇒ x =  4

Therefore, the required value of x would be 4 in the equation

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Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

13x + 10x + 3 = 141

23x + 3 = 141

23x = 138

x = 6

Answer:

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Step-by-step explanation:

From the given information:

Let consider  x to be the of volume 40% solution

therefore the volume of 5% is said to be:

10 L= 40% solution volume + 5% solution volume

10 L= (x + 5%) solution volume

making 5% solution volume the subject; we have

5% solution volume= 10 L - x

To estimate the value of the volume, we now have:

Volume  of 20% × Concentration of  20%= (Volume of 40%  × concentration40%) + (Volume of 5% × Concentration of 5% )

∴

10L  ×  20%= (x) L × 35% + 10 L × 5%

(x) L × 35 = 10L × 20 - 10 L × 5 = 10 L × 15

[tex]x L = 10L \times \dfrac{15}{35}[/tex]

x = 4.28 L

x [tex]\simeq[/tex] 4.3L

∴

The volume of 40% solution= 4.3L

The volume of 5% solution= 10L - 4.3L= 5.7L

Answer:

1089

Step-by-step explanation:

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

Answer:

the answer is 40:15

Step-by-step explanation:

Answer:

answer 40:15

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Well, move the 10 over to the 30.  The 10 is positive, so you subtract.

5x = 20

Now Divide!

5x/5 = 1x or x

20/5 = 4

So,

x = 4

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.

Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

Answer:

22.

Step-by-step explanation:

If lines A and B are parallel to each other, then 4x + 28 = 116.

4x + 28 = 116

4x = 88

x = 22.