Which of the following is correct about parallel​ lines?

A. Nonvertical parallel lines will have the same slope and​ y-intercept.
B. The slope of nonvertical parallel lines will be m and −m.
C. Nonvertical parallel lines will have the same slope but different​ y-intercepts.
D. The product of the slope of the two lines would be −1.

9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)

Step-by-step explanation:

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

multiply everything by 4

[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]

subtract 2

[tex]x = - 8 - 2 \\ x = - 10[/tex]

the answer is -10

Answer:

Step-by-step explanation:

Free points ig

The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

Here, we have,

given that,

6 1/2 divided by 3 2/3

Given the following mathematical expression;

6 1/2 /  3 2/3

We would apply the law of indices for fractions.

6 1/2 /  3 2/3

= 13/2 / 11/3

=13*3/ 2*11

=39/22

=1 17/22

Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

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Answer:

NO

Step-by-step explanation:

if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.

Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.

That means that the relationship is NOT proportional.

The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.

Answer:

No

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

x / 7

100 (the mean goal)

100 + 65 + 120 + 150 + 90 + 0 + y = 700

100 + 65 + 120 + 150 + 90 + 0 + 175 = 700

700 / 7

100

Answer:

12

Step-by-step explanation:

you would need to use BODMAS to work this out

as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)

next you would do the multiplication due to the fact it comes next in the order

so you would end up with 10+2 which would equal to 12

Hope this helps

Answer:

12

Step-by-step explanation:

First we do 4-5 because of Order of Operations. So we get -1

Then we do multiplication because of Order of Operations and we get -2*-1=2

So now we do 10+2 and we get 12.

You may be asking why I did -2*-1.

It honestly doesn't matter.

Let's say I did 2*-1. We get -2.

Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.

Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

Answer:

i think 3:4 dont take my word for it thoughn

Step-by-step explanation:

we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3

Answer:

Answer:

Answer:

Segment bisector: JK

MN = 52

since the 26 is right on a little line, tick mark or wtv, im no sure if MN= 78 or 52 but i'd just put 52. Sorry if im

wrongStep-by-step explanation:

Segment bisector is the line in half

The segment bisector of MN is JK and the measure of MN is 52.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The only bisector of MN is JK and it is at the midpoint of the line segment MN so it will be a bisector.

Now,

Since JK is the bisector of MN

M(JK) = (JK)N

26 = (JK)N

So,

MN = 2(26) = 52

Hence "The segment bisector of MN is JK and the measure of MN is 52".

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Answer:

The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.

Step-by-step explanation:

When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1

If we use 2 batches of recipe, the ratio is multiplied twice.

That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2

But, if we simplify the ratio, by dividing both by common factor, we would get 3:1

That's [tex]\frac{6}{2} :\frac{2}{2}[/tex] simplified to 3:1

Answer:

84%

Step-by-step explanation:

Henry completed a total of 50 questions. From these 50 he predicted 36 were right and this means he also predicted that 14 were wrong (50-36 = 14). From these predictions 5 out of 36 from the ones that he predicted were right were actually wrong and 3 of the 14 questions (14-11 = 3) he predicted were wrong were actually right. Meaning in total he wrongly predicted 8 questions which means he predicted 42 correctly ...

42 / 50 = 0.84 = 84%

Therefore, Henry's prediction accuracy is 84%

Answer:

6+6= 30 billion

Step-by-step explanation:

Answer:

6 + 6 = 66 or 12

Step-by-step explanation:

I'm not sure

Answer:6 i

Step-by-step explanation:

hope i help u have  a great day

Answer:

i don't think you can square root a negative number

Answer:

B

Step-by-step explanation:

The graph for y= √x+1 is shown below.

The square root function f(x)=√x has domain [0,∞) with range  [0,∞).

Similarly the given function is y=f(x)= √x+1

From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.

So the domain of the function f(x)= √x+1 will be [0,∞).

As we know,

√x ≥0

⇒ √x+1≥0+1

⇒√x+1 ≥ 1

⇒f(x) ≥ 1

the function f(x) has range [1,∞).

f(x)=√x+1 ha y intercept at x=0

f(0)= √0+1=1

f(x) has y intercept at (0,1).

Function F(x) will increase from point (0,1).

Therefore The graph for y= √x+1 is shown below.

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Answer: The answer is 5 1/2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST!

Answer:

400 sandwiches

Step-by-step explanation:

2000 - 800 = $1200 (still need this amount from selling sandwiches)

$1200/$3 per sandwich = 400 sandwiches

Answer:

11

Step-by-step explanation:

we know opposite angles are the same, so

8y-16=72

+16

8y=88

/8

y=11

Answer:

equation: 8-n=13

answer: n = 21

Step-by-step explanation:

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

y=10+2(x-4)

Use the distributive property to multiply 2 by x-4.y=10+2x-8

Subtract 8 from 10 to get

y=2+2x

Step-by-step explanation:

I think this is right good luck

Answer:

330

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

-2 × -7 = 14

14 × 2 = 28

thats the correct answer

Answer:

A.

Step-by-step explanation:

The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

The original function is given as:

[tex]y = \sqrt[3]{x}[/tex]

First, the function is translated 6 units left.

The rule of this translation is:

[tex](x,y) \to (x +6,y)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6}[/tex]

Next, the function is translated 1 unit up.

The rule of this translation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = \sqrt[3]{x + 6} + 1[/tex]

Express y as a function of x

[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]

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Answer:

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Step-by-step explanation:

Section A = $42

Section B = $24

Section C = $18

Revenue = $1,738,800

Total number of seats = 55,000

The number of seats in Section A equals the total number of seats in Sections B and C

A = B + C

A + B + C = 55,000

42A + 24B + 18C = $1,738,800

Substitute A = B + C into the equations

B + C + B + C = 55,000

42(B + C) + 24B + 18C = $1,738,800

2B + 2C = 55,000

42B + 42C + 24B + 18C = 1,738,800

2B + 2C = 55,000

66B + 60C = 1,738,800

Multiply (1) by 30

60B + 60C = 1,650,000. (1)

66B + 60C = 1,738,800. (2)

Subtract (1) from (2)

66B - 60B = 1,738,800 - 1,650,000

6B = 88,800

B = 88,800/6

= 14,800

B = 14,800

Substitute the value of B into

2B + 2C = 55,000

2(14,800) + 2C = 55,000

29,600 + 2C = 55,000

2C = 55,000 - 29,600

2C = 25,400

C = 25,400/2

= 12,700

C = 12,700

Substitute the values of B and 6 into

A + B + C = 55,000

A + 14,800 + 12,700 = 55,000

A + 27,500 = 55,000

A = 55,000 - 27,500

= 27,500

A = 27,500

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Answer:

Section A has 27,500 seats

Section B has 14,800‬ seats

Section C has 12,700‬ seats

Step-by-step explanation:

To solve this, we will have equations:

let x = seats at section A

  y= seats at section B

 Z = seats at section C

we will get the following equation:

So from the question, x = y + z ..........(1)

                     x + y + z = 55,000 .........(2)

                  42x + 24y + 18z = 1,738,800 .... (3)

input equation (1) into (2)

 y + z + y + z = 55,000

2y + 2z = 55,000...... (4)

so for exuation (3), input equation (1) into (3):

42x + 24y + 18z = 1,738,800

42(y + z) + 24y + 18z = 1,738,800

42y + 42z + 24y + 18z = 1,738,800

collect like terms:

66y + 60z = 1,738,800 ..... (5)

multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is

-60y - 60z = - 1,650,000‬ ...... (6)

add equation (5) and (6)

6y + 0 = 88,800‬

y = 14,800‬ seats

Input the value of y into equation (4) to find z

2y + 2z = 55,000

2(14,800) + 2z = 55,000

29,600 + 2z = 55,000

2z = 25,400‬

z = 12,700‬ seats

To find the number of seats in section A we use equation (2)

x + y + z = 55,000

x +14,800 + 12,700 = 55,000

x + 27,500 = 55,000

x = 27,500 seats

To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.

total number of seats in Sections B and C = 14,800 + 12,700 = 27,500

so number of seats in section A = B + C