Slope formula: trying to make sure I’m doing this right

Answer:

2x + y = 18

y = 4x - 12

x = 5,  y = 8

Step-by-step explanation:

x = 1st number

y = 2nd number

We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:

2x + 4x - 12 = 18

6x - 12 = 18

6x = 30

x = 5

y = 4(5) - 12 which is 20-12 or 8

y = 8

Answer:

Definitely not equivalent.

Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.

x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27

x^3 * x^3 * x^3 would be x^3+3+3 or x^9

Explanation:

The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.

In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.

The mode is 24.

Answer:

Reese's puffs Reese's puffs

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Answer:

Real number

Step-by-step explanation:

Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real

Answer:

real number

Step-by-step explanation:

Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1

If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.

I hope this helps!

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

Answer:

Below in bold.

Step-by-step explanation:

b.

If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.

So tan O = BD/16 = 15/8

BD = (16*15)/8

= 2*15

= 30.

So the area of triangle ABC = 16*30

= 480 cm^2.

Answer: 25%

Step-by-step explanation:

To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.

Answer:

9.87

Step-by-step explanation:

6%= 0.06

0.06 +6.50 = 6.56

16.43 - 6.50 = 9.87

Answer:

[tex]\huge\boxed{\sf 2x - 16}[/tex]

Step-by-step explanation:

twice a number x = 2x

minus means to subtract (-)

So, twice a number minus 16 is:

= 2x - 16

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hey there!

Our unknown number is x.

First, "twice x" means we multiply x by 2:

2x

Then, we subtract 16:

2x-16

Therefore, the expression is: 2x-16

Hope this helps. Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with a smile on her face

Good luck with your studies. :-)

Answer:

Abby will earn $510 if she works 60 hours.

Step-by-step explanation:

8 hrs --> $68

1 hr --> 68 × 1/8 = $8.5

So, 60 hrs

= 8.5 × 60

= $510

Answer:

a² + 24² = 26² ; a = 10 in.

Step-by-step explanation:

a² + 24² = 26² ; a = 10 in.

((I'm not sure if your choice is wrong.))

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]

Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work

Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)

Answer:  150 students

Step-by-step explanation:

Let X be the total number of students.  We are told that:

0.60X = 90 students

X = (90 students)/0.60

X = 150 students

Answer:

- 2 < x < 6

Step-by-step explanation:

- 6 < x - 4 < 2 ( add 4 to each interval )

- 2 < x < 6

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

Answer:

multiply the length and the width of a rectangle or a square

Step-by-step explanation:

Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).

As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):

1) 512 => 2 partecipants

2) 256 => 4 partecipants

3) 128 => 8 partecipants

4) 64 => 16 partecipants

5) 32 => 32 partecipants

6) 16 => 64 partecipants

7) 8 => 128 partecipants

9) 4 => 256 partecipants

10) 2 => 512 partecipants

The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.

Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.

Answer:

Step-by-step explanation:

Slope is the change in y over the change in x.

m = (8 - 6) / (8 - 4) = 2/4 = 1/2

Answer:

1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-8)/(4-8)

m=-2/-4

m=1/2

Answer: -13

Step-by-step explanation:

Answer:

There is something wrong in the answer options.  Please check the equations and formatting.  

Step-by-step explanation:

Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.

This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

The slope, as I've written it, is 3.  Parallel lines will have the same slope (but a different b).  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  In this case, it would have a slope of -(1/3).

None of the answer options come close to this.  So something is wrong in the question, unless "NONE" is an option.

Graph attached

Answer:

120 planters can be filled with topsoil.

Step-by-step explanation:

Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.

15 x 8 = 120, so this means that 120 planters can be filled with topsoil.

:)