find the slope of the line using the points (0,4) and (-3,6)

The division problem meeting with the given criteria 'dividend of a/3 and a quotient of 5a2/6b' is '(a/3) ÷ (b/2a) = 5a2/6b'. This is found by using the division formula 'Dividend = Quotient x Divisor' and solving for the divisor.

The problem can be explicitly solved using the general formula for division in variables. Given the dividend is 'a/3' and the quotient is '5a2/6b', you can solve for the divisor using the formula 'Dividend = Quotient x Divisor'. Your unknown in the equation is the divisor and hence rearranging the equation we get, 'Divisor = Dividend / Quotient'. Substituting the given values, the divisor comes out to be 'Divisor = (a/3) / (5a2/6b)' which simplifies to 'b/2a'. Therefore, the division problem matching your criteria would be '(a/3) ÷ (b/2a) = 5a2/6b'.

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You have to find the average so add all of them up and divide by the number of numbers which in your case is 20. If you like my answer please mark me as brainliest

We are given a side of the rectangle = 11 m.

Let us assume other side of the rectangle = x meter.

We know,  formula for Perimeter of the rectangle :

Periemter = 2×one side + 2× other side .

We are given perimeter = 143 m.

Therefore,

2 × 11 + 2 × x = 143

22 +2x =143.

Therefore, (d) 2x + 22 = 143 equation can be used to determine the length of the longer side of the rectangle.

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of ​$ 182.

let x be the number of $1 bills  

y be the  number of $10 bills

There are total of 53 bills so the equation becomes

 x+y=53 ---> first equation

Bills having a combined monetary value of ​$ 182

x + 10 y = 182 ----> second equation

Now we solve for x  and y

 x+y=53

y = 53 - x

Now plug in 53 - x in second equation

[tex]x + 10 (53 - x) = 182[/tex]

[tex]x + 530 - 10x = 182[/tex]

[tex] -9x + 530 = 182[/tex] (subtract 530 on both sides)

-9x= -348

[tex]x=\frac{116}{3}[/tex]

Recheck the numbers given in the question. because we got answer in fraction form.

We know y = 53 - x

[tex]y = 53 - \frac{116}{3} = \frac{43}{3}[/tex]

52.35 * 20% = 10.47

52.35+10.47 =62.82   total bill plus tip

62.82/ by number of people (this piece is missing)

Answer:

C) [tex]6x=100+4x[/tex]

Step-by-step explanation:

Let the number of sessions be x

Let the total payment be y

Without membership, the equation becomes:

[tex]y=6x[/tex]

With membership, the equation becomes:

[tex]y=100+4x[/tex]

Now to justify, $100, we will equal both to get the number of sessions.

[tex]6x=100+4x[/tex]

[tex]=> 2x=100[/tex]

Dividing both sides by 2;

x = 50

Hence, the right equation is : [tex]6x=100+4x[/tex]

The sequence is halving, therefore the next three numbers are 1, 0.5, and 0.25.

The given sequence is a series of numbers where each number is half of the previous number. This is often referred to as a geometric sequence where the common ratio is 0.5. Therefore, to find the next number in the sequence, we multiply the last number by 0.5.

Following this pattern:

So, the next three numbers in the sequence are 1, 0.5, and 0.25.

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ANSWER

The orthocenter is [tex](-4,8)[/tex]

EXPLANATION

The orthocenter is  the point of intersection of all the altitudes of a triangle.

If it is a right angle triangle then the orthocenter is the point at which the right angle is made.

If it is not a right angle triangle, then you have to find the equations of any two of the altitudes and solve simultaneously.

So you must first check to see if it is a right angle triangle that way you do not have to do bunch work.

The given triangle has vertices [tex]J(-4,-1)[/tex], [tex](-4,8)[/tex], and [tex]L(2,8)[/tex].

[tex]Slope_{JK}=\frac{8--1}{-4--4}[/tex]

[tex]Slope_{JK}=\frac{8+1}{-4+4}[/tex]

[tex]Slope_{JK}=\frac{9}{0}[/tex]

Since the denominator is zero, the slope is undefined.

If the slope of a straight line is undefined, then that line is parallel to the y-axis. In other words, it is a vertical line.

[tex]Slope_{JL}=\frac{8--1}{2--4}[/tex]

[tex]Slope_{JL}=\frac{8+1}{2+4}[/tex]

[tex]Slope_{JL}=\frac{9}{6}[/tex]

[tex]Slope_{JL}=\frac{3}{2}[/tex]

[tex]Slope_{KL}=\frac{8-8}{2--4}[/tex]

[tex]Slope_{KL}=\frac{0}{2+4}[/tex]

[tex]Slope_{KL}=\frac{0}{6}[/tex]

[tex]Slope_{KL}=0[/tex]

if a straight line has a slope of zero, that line is parallel to the x-axis or it is horizontal.

From the slopes we can see that side KL of the triangle is horizontal and side JK is vertical. This two sides will meet at right angles at K.

See graph.

Therefore the coordinates of K, [tex](-4,8)[/tex] is the orthocenter of the given triangle.

To write a rule describing a transformation, you need to identify the specific transformation being applied and use the correct rule for that type of transformation. Examples of rules are given for translation, reflection, rotation, and dilation.

To write a rule describing a transformation, you need to identify the specific transformation being applied to a shape. Here are examples of rules for different transformations:

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Answer:

h=kl/2ij

Step-by-step explanation:

The multiplication order doesn't matter so just divide everything and leave h there :)

a complementary angle is 90 degrees, so, if the angle measures 4 more than a complimentary angle, it is 94 degrees.

Hi!

[tex]3.8*10^8[/tex]

[tex]3.8*100000000[/tex]

[tex]=380,000,000[/tex]

Explanation: This question is super super easy. First you had to write down their problems is 3.8*10^8. Then write for 10^8=100000000 and equal to 100000000*3.8. And the answer is =380,000,000 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

It will take exactly 14 months for the pig to be 212.

Let the number be x

According to question

4 + 3 x = 19

3x = 19 - 4

3x = 15

x = 15 /3

x = 5

Answer is C, as 12 is divisible by 4, but not 8.

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8: 8, 16, 24, 32, 40

Based on the multiples up to 40 there are 3 numbers that are multiples of 4 but not 8. They are 12, 28 and 36.

Based on the choices given the answer would be 12.

range is {- 27, - 15, - 3, 9 }

substitute each of the values from the domain into the equation for x and solve for y

These values are the range

x = - 2 : y = - 12 - 15 = - 27

x = 0 : y = 0 - 15 = - 15

x = 2 : y = 12 - 15 = - 3

x = 4 : y = 24 - 15 = 9

Answer:

¢8.3 per ounce with the 26 ounce jar

¢6.6 per ounce with the 16 ounce jar

Step-by-step explanation:

divide 26 and 3.12

divide 16 and 2.40

Answer: $0.03

To solve this problem, you must find the unit rate that each jar of chocolate fudge is offering:

For the 26oz jar, you must divide 3.12 by 26 (3.12/26), which will give you an answer of $0.12 per ounce

For the 16oz jar, you must divide 2.40 by 16 (2.40/16), which will give you an answer of $0.15 per ounce

Doing the math, you will find that the 26oz jar has a better deal (less money per ounce), by 0.15-0.12 = $0.03 per ounce (saved on the better deal)

it would be exactly 5000 grams

Answer:

1. AC+BD given.

2. AC=AB+BC;  Segment addition postulate.

4. AB+BC=BC+CD; Substitution property of equality.

Step-by-step explanation:

We have been given a line segment AD with points A B C and D sitting on AD from left to right and we are asked to find the reasons for given statements.

1. AC=BD is given. Therefore, we will add 'given' in first reason box.

2. We know If two points (A and C) lies on a line segment and third point (B) lies between these points then by segment addition postulate the distance between AC will be equal to sum of distances between AB and BC.

4. Since we know that substitution property of equality states that if x=y than we can substitute x in place of y in any equation and y in place of x as well in any equation. Since we know that [tex]AC=AB+BC[/tex] and [tex]BD=BC+CD[/tex]

Therefore, by substitution property of equality [tex]AB+BC=BC+CD[/tex].

[tex]\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{The slope of f(x):}\\\\\text{We have the points}\\\\(0,\ 3)\to x_1=0,\ y_1=3\\(1,\ 1)\to x_2=1,\ y_2=1\\\\\text{substitute}\\\\m=\dfrac{1-3}{1-0}=\dfrac{-2}{1}=-2\\\\g(x)=-2x-5\to\text{the slope}\ m=-2\\\\Answer:\ \text{D. The slope of f(x) is the same as the slope of g(x)}[/tex]

0 ≠ 4. The equation is wrong, and has no true solution.

8x + 3 - 10x = -2(x - 2) + 3

Distributive property.

8x + 3 - 10x = -2x + 4 + 3

Combine like terms.

-2x + 3 = -2x + 7

Cancel like terms.

Subtract 3 from both sides.

0  ≠ 4

To find the area of a square with given dimensions, square one of its sides to get the area. In this case, using a side length of 45, the area is calculated as 2025 square units.

The area of a square with dimensions 45 x 67 x 36 is calculated by finding the square of one of its sides. Since a square has all four sides equal, you can use any of the given dimensions to find the area. In this case, let's use 45 as the side length:

The trajectory of a projectile is proven to be parabolic by eliminating time from the horizontal and vertical motion equations to receive the form y = ax + bx², thus describing the projectile's path.

To prove the trajectory of a projectile is parabolic, we start with the motion equations given for horizontal and vertical positions, which are x = V0x t and y = V0y t - (1/2)gt2, respectively.

First, we solve the horizontal motion equation for t to find t = x/V0x.

We then substitute this expression for t into the vertical position equation to eliminate t.

After substitution, we get an equation of the form y = ax + bx2, where a is V0y/V0x and b is -g/(2V0x2).

These constants a and b represent the initial velocity components and the acceleration due to gravity, which together describe the parabolic path of a projectile motion.

The equation of the parabola is: y = 0(x - (-2.5))^2 + 2

To determine the equation of the parabola, we can use the general form of the equation for a parabola:

y = a(x-h)^2 + k

where (h, k) represents the vertex of the parabola.

Given two points on the graph, (-2,2) and (-3,4), we can use these points to find the values of h and k.

Let's start by finding the x-coordinate of the vertex, h. Since the parabola is symmetric, the x-coordinate of the vertex is the average of the x-values of the two given points:

h = (-2 - 3)/2 = -5/2 = -2.5

Next, let's find the y-coordinate of the vertex, k. We substitute the x-coordinate of the vertex into the equation and solve for y:

2 = a(-2.5 - (-2.5))^2 + k

Simplifying:

2 = a(0)^2 + k
2 = k

Therefore, the vertex of the parabola is (-2.5, 2).

Now that we have the values of h and k, we can substitute them into the equation to find the value of a. Using one of the given points, (-2,2), we have:

2 = a(-2 - (-2.5))^2 + 2
2 = a(-2 + 2.5)^2 + 2
2 = a(0.5)^2 + 2
2 = 0.25a + 2
0.25a = 0
a = 0

Therefore, the equation of the parabola is:

y = 0(x - (-2.5))^2 + 2

Simplifying:

y = 2

In this case, the parabola is a horizontal line passing through the vertex at y = 2.

Answer:

Three equivalent ratios would be 5/6, 20/24 and 30/36

Step-by-step explanation:

In order to find equivalent ratios, we need to multiply or divide both numbers by the same amount. First, lets divide both by 2.

10/2 = 5

12/2 = 6

5/6

Next we can multiply both by 2

10*2 = 20

12*2 = 24

20/24

Next we can multiply both by 3

10*3 = 30

12*3 = 36

30/36

what are 3 equivalent ratios for 10/12

5/6

15/18

20/24

25/30

To find the greatest common factor of two monomials, first find the prime factorization of each monomial, including all the variables (and a – factor if necessary). Then take the product of all common factors. First, find the prime factorization of each monomial. So, the GCF is 3 p 2 r 3 .

The range would be [9, 0, -7, -1]

The range of any function is simply the values of y that are possible. In this case, there are only these three numbers.

Answer:

y= -7,-1,0,9

the answer is B

Answer:  5 (2x+1 ) ( 2x - 1)

Step-by-step explanation:

Factor commum term 5 :

Rewrite 20 as 5*4

5 * 4x² - 5

Factor common term 5 :

= 5 ( 4x²-1 )

Factor  4x²-1 :

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

Therefore:

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

Hope that helps!

To convert cm/min to m/h, multiply by 0.6, resulting in 21.6 m/h as the answer.

To convert 36 cm/min to m/h, you need to multiply by the conversion factor which is 60 min/h. Here's the step-by-step calculation: