Find greatest common factor of the following monomials

45m. 6m

Answer:

y = -3x + 2; y = ⅓x -14/3

Step-by-step explanation:

Step 1. Find the equation of the parallel line

Original line: y = -3x+ 7

Parallel line: slope = m₁ = -3

The line passes through (2, -4).

 y = m₁x + b      Insert the values

-4 = (-3)×2 + b

-4 = -6 + b        Add 6 to each side

b = 2

y = -3x + 2

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

Step 2. Find the slope (m₂) of the perpendicular line

m₂ = -1/m₁     Substitute the value of m₁

m₂ = -1/(-3)

m₂ = ⅓

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

Step 3. Find the equation for the perpendicular line

y = mx + b

y = ⅓x + b

The line passes through (2, -4).  

-4 = ⅓(2) + b      Substitute the values

-4 = ⅔ + b         Subtract ⅔ from each side

-4 - ⅔ = b

 b = -14/3

y = ⅓x - 14/3

In the image, below  the graph of your original equation is the red line.

The green line passing through (2, -4) is the parallel line.

The purple line passing through (2, -4) is the perpendicular to both lines.

Answer:

D

Step-by-step explanation:

the answer is d because the amount of speed changes the total amount of distance that he travels in time

Answer:

two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]

Step-by-step explanation:

We are given to find irrational number

we know that

irrational numbers are numbers that can not be represented as simple fraction

For example:

[tex]\sqrt{2} ,e,\pi[/tex]

but those irrational numbers should be between 0.3 and 0.7

so, we can take sqrt numbers between 0.3 and 0.7

we know that

[tex]\sqrt{0.3}=0.5477[/tex]

[tex]\sqrt{0.4}=0.632455[/tex]

Both values lies between 0.3 and 0.7

so, two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]

Answer:

Step-by-step explanation:

Answer:

Well Where are the graphs

Step-by-step explanation:

Answer:

It’s just A

Step-by-step explanation:

Answer: In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. Legs (a and b): the sides of the triangle adjacent to the right angle. They don't need to be the same length in order for this theorem to work.

If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a RIGHT triangle.

We know that in a right angled triangle the Pythagorean Theorem hold true.

According to Pythagorean Theorem:

If the three sides lengths of a triangle are a,b and c respectively such that:

          [tex]c^2=a^2+b^2[/tex]

Then such a triangle is a right triangle with hypotenuse c and other two legs of triangle as a and b.

                            Hence, the answer is:

                       The triangle is not a right triangle.

Answer:

5c + 30

Step-by-step explanation:

An easy way to create an equivalent expression is to simplify the equation given to you. In this case, distribute 5 to all terms within the parenthesis:

5(c) = 5c

5(6) = 30

5c + 30 is an answer choice.

~

Distribute the 5 inside the parenthesis to create an equivalent expression.

Answer:

5c + 30

Answer:

line 2

Step-by-step explanation:

#1 You got it right

When a you add a number you need to add to both sides

So line 2  was an error because it only added on the left side, not right side

This question was asked almost 3 years ago, there is a very good chance that they're not even in school anymore, it's crazy to think about. 3 years ago, I was living in Washington, and had joined online school for the first time, while this guy was here, begging people for answers to a question so he could pass highschool. Now, he's probably living his best life right now and doesn't even know what I'm typing right now, either that, or he's working at McDonald's. Honestly though, time flies by so fast though, it really is crazy.

Answer:

x - 6y = -9

Step-by-step explanation:

We are given two points (-3,1) and (3,2) on a line so we will use them to find the slope.

Slope ([tex]m[/tex]) = [tex]\frac{2-1}{3+3} =\frac{1}{6}[/tex]

The standard form of the equation is [tex]y=mx+c[/tex] so we will substitute the values of the coordinates of a point and slope (m) to find the y-intercept (c).

[tex]2=\frac{1}{6} +c\\\\c=\frac{3}{2}[/tex]

So the equation of the line which passes through the given points will be [tex]y=\frac{1}{6} x+\frac{3}{2}[/tex] which can be rearranged to write it as:

x - 6y = -9

Answer:

Option C.

Step-by-step explanation:

The standard form of a line is

[tex]Ax+By=C[/tex]

It a line passes through two points then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the line passes through the points (-3,1) and (3,2). So the equation of line is

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

[tex]y-1=\dfrac{1}{6}(x+3)[/tex]

Multiply both sides by 6.

[tex]6(y-1)=x+3[/tex]

[tex]6y-6=x+3[/tex]

Subtract 6y and 3 from both sides.

[tex]6y-6-6y-3=x+3-6y-3[/tex]

[tex]-6-3=x-6y[/tex]

[tex]-9=x-6y[/tex]

Interchange both sides.

[tex]x-6y=-9[/tex]

Therefore, the correct option is C.

Answer:

It will cost Irene $31.45 to fill the tank

Step-by-step explanation:

Irene's tank holds 14 gallons.  It has 5.5 gallons in it.  

14- 5.5  = 8.5

Irene can put in 8.5 gallons to fill it.

8.5 gallons and $3.70

8.5 * 3.7 = $31.45

It will cost Irene $31.45 to fill the tank

[tex]-x-y=0\qquad\text{add y to both sides}\\\\-x=y\to y=-x\\\\\text{Choice any three x values and calculate the y values.}\\\\for\ x=0\to y=-0=0\to(0,\ 0)\\\\for\ x=-2\to y=-(-2)=2\to(-2,\ 2)\\\\for\ x=2\to y=-2\to(2,\ -2)[/tex]

Answer: what’s the question

Step-by-step explanation:

Answer:

1 foot

Step-by-step explanation:

yuhh im doing the test so

The edge length of the original and new kennels were 3 and 4 feet respectively. Therefore, each edge length of the kennel increased by 1 foot.

Your question involves understanding the relationship between a cube's size, or its edge length, and its volume. The volume of a cube is calculated by cubing the edge length (Volume = Edge Length³). Therefore, the edge length of the original kennel is the cube root of 27, which is 3 feet. The edge length of the new kennel is the cube root of 64, which is 4 feet. So, each edge length of the kennel was increased by 1 foot (4-3).

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Answer:

35,880

Step-by-step explanation:

 4

 1

 690

    52

 1380

34500

35880

Hope this helps you!!! :)

Answer: 2 solutions.

The given equation breaks down into these two equations

3x+12 = 18 and 3x+12 = -18

Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.

If you want to solve each equation, then

3x+12 = 18

3x = 18-12

3x = 6

x = 6/3

x = 2 is one solution

and

3x+12 = -18

3x = -18-12

3x = -30

x = -30/3

x = -10 is the other solution

Answer:

d=7 and q+0=17

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

d+q=24;0.10d+0.25q=4.95

Step: Solve d+q=24 for d:

d+q+ (−q) =24+(−q) (Add -q to both sides)

d=−q+24

Step: Substitute −q +24 for d in 0.10d+0.25q=4.95:

0.10d+0.25q=4.95

0.10(−q+24)+0.25q=4.95

0.15q+2.4=4.95 (Simplify both sides of the equation)

0.15q+2.4+(−2.4) =4.95+(−2.4) (Add -2.4 to both sides)

0.15q+0=2.55

0.15q+0 /0.15  = 2.55/0.15   (Divide both sides by 0.15)

q+0=17

Step: Substitute 17 for q in d= −q+24:

d= −q+24  

d= −17+24

d=7  (Simplify both sides of the equation)

Answer:

3. The mean will increase more than median, but both will increase.

Step-by-step explanation:

We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.

Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.

Let us check this using our given information. Our data set before adding 12 is:

1, 2, 2, 2, 3, 4, 4, 4, 5.

We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.

[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}[/tex]

[tex]\text{Mean}=\frac{27}{9}=3[/tex]

Therefore, mean of our data set is 3.

Upon adding a data point at 12, our new data set will be:

1, 2, 2, 2, 3, 4, 4, 4, 5, 12.

Now our data set has 10 terms, so median will be the average of 5th and 6th term.

[tex]\text{Median}=\frac{3+4}{2}[/tex]

[tex]\text{Median}=\frac{7}{2}=3.5[/tex]

Therefore, the median of new data set will be 3.5.

[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}[/tex]

[tex]\text{Mean}=\frac{39}{10}[/tex]

[tex]\text{Mean}=3.9[/tex]

Therefore, mean of new data set will be 3.9.

Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).

Answer:

The mean will increase more than the median, but both will increase.

Step-by-step explanation:

The graph is missing. So is the set of data point values. However, I can assume that as the temperature goes up, then so does the sale of ice cream. It's not a perfect relationship, but there is a strong positive correlation between the two variables.

A positive correlation means that as one variable increases, so does the other. Also, it means that if one variable decreases, then the other variable decreases as well. The two variables move in the same direction together.

Answer:

The formula for the volume of a sphere is:

Sphere Volume   =   4/3 • π • r^3

Sphere Volume   =   4/3 • π • 7^3

Sphere Volume   =   4/3 • π • 343

Sphere Volume   =   1,436.7550402417 cubic inches

Step-by-step explanation:

Final answer:

The volume of a hemisphere with a radius of 7 inches is calculated using the formula V = ½ (⅓πr³), resulting in a value of 571.1015 cubic inches, which rounds to 571.1 cubic inches.

Explanation:

To find the volume of a hemisphere with a radius of 7 inches, we use the formula for the volume of a sphere and then take half of that, since a hemisphere is just half of a sphere. The formula for the volume of a sphere is V = ⅓πr³. Since we need the volume of a hemisphere, our formula becomes V = ½ (⅓πr³). By substituting the given radius into the formula, we have:

V = ½ (⅓π(7 inches)³)

= ½ (⅓π(343 cubic inches))

= ½ (1142.203 cubic inches)

= 571.1015 cubic inches.

When we round this result to the nearest tenth, we get 571.1 cubic inches. Hence, the volume of the hemisphere is approximately 571.1 cubic inches.

Answer:

the answer is -9

Step-by-step explanation:

3 - 15 = -12

-12 - (-3) = 9 adding two negatives gives you a positive so its really, -12 + 3

Just substitute then solve

3-15-(-3)

Answer:

-9

If it helps draw a number line

<--------------------------------------------------------------------->

 -10            -5                 0              5                   10

start at 3, then left 15 spaces, then right 3 spaces

Question 1: (0,2) because b value in mx+b is y-intercept

Question 2: plug in 4 for x you will get 1 so max is (4, 1)

Question 3: plug in -4 for x you will get -5 so min is (-4, -5)

Hope it helps :D

Answer:

12 and 136

Step-by-step explanation:

12 divided by 2 is 6, and 136 divided by 2 is equal to 68.

For the two numbers the quotient is between 136 divided by 6 will be 22 and 23.

We may examine the division and take into account the closest whole numbers to the quotient in order to get the two numbers that are the product of 136 divided by 6.

(Rounded to four decimal places) 136 divided by 6 equals 22.6667. 22 and 23 are the whole numbers that are most similar to this quotient.

We may then deduce that the value of the quotient of 136 divided by 6 is between 22 and 23. Accordingly, the outcome of the division of 136 by six will be a number more than or equal to 22 but less than 23. To put it another way, the quotient falls between [22, 23].

More about the Algebra link is given below.

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Answer:

$3.15

Step-by-step explanation:

We start by dividing 4.5 by 100,(.045) to find what 1 percent is, once we have that we multiply by 30 (1.35)and get that and subtract it from 4.5

Answer:

The price of the coupon is $3.15.

Step-by-step explanation:

Boxes of sticky finger popsicles  are = $4.50

Supermarket is offering 30% coupon off.

We have to calculate the price with the coupon price of sticky finger popsicles will be given by

discounted price = original price - discount

                            = 4.50 - (30% of $4.50)

                           = 4.50 - (0.30 × 4.50)

                           = 4.50 - 1.35 = $3.15

The price of the coupon is $3.15.

To round a number to the nearest hundredth, check the thousandth digit. If it's 4 or less, the hundredth digit doesn't change. If it's 5 or greater, round up the hundredth digit and increase it by 1.

To round a number to the nearest hundredth, you need to look at the thousandth place. If this digit is 4 or less, the hundredth digit remains the same. If the thousandth digit is 5 or greater, then you round up the hundredth digit by increasing it by 1. In this case,

Alex's batting average is 0.346, and the thousandth digit is 6, which is greater than 4. So, when rounded to the nearest hundredth, his batting average would be 0.35.

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Answer: if you simplify 12/16 to 3/4 then you multiply that fraction by 25 you get 75/100 which translates to 75%.