Distance between (-6,8) and (-3,9)

The following can be determined about the slopes and y-intercepts of the system of equations: A. The slopes are different, and the y-intercepts are different.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we have the following system of equations in standard form:

4x + 2y = −2

x − 3y = 24

By rewriting system of equations in slope-intercept form, we have:

y = -2x - 1  ⇒ m = -2, b = -1

y = x/3 - 8  ⇒ m = 1/3, b = -8

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

Answer:

x = -1

Step-by-step explanation:

We are given the equation 3x + 6 = 3.

To solve for x, we need to isolate it on one side of the equation. We can do this by subtracting 6 from both sides of the equation.

3x + 6 - 6 = 3 - 6

3x = -3

Now, we can isolate x by dividing both sides of the equation by 3.

3x/3 = -3/3

x = -1

Therefore, the solution to the equation 3x + 6 = 3 is x = -1.

The rate of change is 7 more of function A than the slope of function B.

Slope is calculated as the ratio of "vertical change" to "horizontal change" between any two points on a line, or any two points. When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.

Since y=8x+3,

The rate of change in equation A is equal to the slope m m=8.

The rate of change, m=1, is given in equation B.

y=mx+ is the solution to equation B.

By substituting the values we get,

y=x+4

Calculate the difference between the rates of change of function A and function B.

8-1=7

Therefore, the rate of change is 7 more of function A than the slope of function B.

To know more about slope, visit:

https://brainly.com/question/3605446

#SPJ1

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).

When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).

As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).

Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.

To know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

Answer:

$32.58

Step-by-step explanation:

Joe bought ten items total.

His total cost was $325.80

325.80 / 10 =32.58

Mean is the average

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

To know more about orange in the fruit bowl here

https://brainly.com/question/25727207

#SPJ1

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

Read more about Absolute Value Function at: https://brainly.com/question/3381225

#SPJ1

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

x=-4 is true, x=6 is not

Step-by-step explanation:

5x + 7 < 22

Plug in our X values

5(-4) + 7 < 22 ?

solve

-20 + 7 < 22

-13 < 22 ?

x=-4 is true.

Repeat steps from ^

5(6) + 7 < 22

30 + 7 < 22

37 < 22 ?

x=6 is not true.

Hope this helped

Answer:

False

Step-by-step explanation:

5(-4) + 7 < 22

-20 + 7 < 22

-14 < 22

5(6) + 7 < 22

30 + 7 < 22

37 < 22

The statement would be false because when applying 6 to the equation, the equation becomes false.

On the other hand, when applying -4 to the equation, the equation becomes true, but since both -4 and 6 HAVE to be BOTH solutions to the equation, the statement becomes false.

%change=100(final-initial)/initial

You can plug in your values...if you meant initial=12 and final=36...

%change=100(36-12)/12=200%

Since it is positive, that is a 200% increase.

Answer:

12 inches to 36 inches is a 300% increase

Step-by-step explanation:

Answer:

15x-35+20y

Step-by-step explanation:

5 times 3 is 15

7 times 5 is 35

5 times 4 is 20

so the answer is 15x-35+20y

The easier option is A.

Here given expression is \( \frac{3}{5} - 14 + 9 + 2\)

We want to simplify the expression \( \frac{3}{5} -14 + 9 + 2\)

, we can use the associative and commutative properties of addition to rearrange the terms in a way that makes it easier to perform the arithmetic operations.

The commutative property of addition states that we can change the order of the terms without changing the value of the expression. The associative property of addition states that we can regroup the terms without changing the value of the expression.

Using these properties, we can rewrite the expression as:\( \frac{3}{5} + 9 + 2 - 14\)

We can now regroup the terms using the associative property as:\(( \frac{3}{5} + 9 + 2) - 14\)

To simplify this expression, we can add the terms inside the parentheses first:\(( \frac{3}{5} + 9 + 2) = ( \frac{3}{5} + 10 + 1) = 13 \frac{3}{5} \)

Substituting this value back into the expression, we get:\(13 \frac{3}{5} - 14\)

To subtract these two fractions, we need to have a common denominator. The least common multiple of 5 and 5 is 5, so we can rewrite the expression as:\(( \frac{68}{5} - \frac{70}{5} ) = \frac{ - 2}{5} \)

Therefore, the option that shows the best use of the associative and commutative properties to make simplifying \( \frac{3}{5} -14+9+2\)

Therefore option A is easier.

Associative property related one more question:

https://brainly.com/question/30458444

#SPJ1

Answer:

x:y = 1:1 or 2:3

Step-by-step explanation:

By a difference of squares, we get:

(y+x)(y-x)=5(y-x)^2

move all to one side:

(y+x)(y-x) - 5(y-x)^2 = 0

take a common factor of (y - x) out and expand and simply the other factor:

(y - x)[y+x-5(y-x)] = 0

(y - x)(-4y + 6x) = 0

By the null factor rule:

x = y

=> x:y = 1:1

or

6x = 4y

=>

x:y = 4:6

x:y = 2:3

If the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

Learn more here: https://brainly.com/question/11865047

Answer:

1,024yd

Step-by-step explanation:

a=a to the second,= 32(2)= 1,024

You have to maintain a minimum level of financial responsibility when transporting any type of hazardous material in intrastate commerce Option A is correct.

Interstate commerce refers to any transaction or movement of goods, services, or money over state lines.

You operate a motor carrier for hire. When shipping any quantity of hazardous material in intrastate trade, A mandates that you maintain a minimum degree of financial accountability.

Hence option A is correct.

To learn more about the Interstate commerce refer;

https://brainly.com/question/7036239

#SPJ1

Answer: A is correct

Step-by-step explanation:

The total perimeter of the court is 182.8 ft, of this, 62.8ft represents the perimeter of the semicircle.

a)

The perimeter of the semicircle is calculated as the circumference of half the circle:

Now write it for r

Knowing that P=62.8 and for pi we have to use 3.14

The radius of the semicircle is r=20 ft

b.

To solve this exercise you have to calculate the area of the whole figure.

The figure can be decomposed in a rectangle and a semicircle, calculate the area of both figures and add them to have the total area of the ground.

Semicircle

The area of the semicircle (SC) can be calculated as

We already know that our semicircla has a radius of 10ft so its area is:

Rectangle

To calculate the area of the rectangle (R) you have to calculate its lenght first.

We know that the total perimeter of the court is 182.8ft, from this 62.8ft corresponds to the semicircle, and the rest corresponds to the rectangle, so that:

The perimeter of the rectangle can be calculated as

The width of the rectangle has the same length as the diameter of the circle.

So it is

Now we can calculate the length of the rectangle

For P=120ft and w=40ft

Now calculate the area of the rectangle

Finally add the areas to determine the total area of the court

Answer:

I also believe it is -4.9 but I may be mistaken

Step-by-step explanation:

The angle LKN in the rhombus is 62 degrees.

A rhombus is a quadrilateral that has 4 sides equal to each other. The sum of angles in a rhombus is 360 degrees.

Opposite angles are equal in a rhombus. The diagonals bisect each other at 90 degrees. Adjacent angles add up to 180 degrees.

Therefore, let's find ∠LKN as follows:

m∠JMN = (-x + 69)

m∠LMJ = (-6x + 166)

Therefore,

1 / 2 (-6x + 166) = -x + 69

-3x + 83 = -x + 69

-3x + x = 69 - 83

-2x = -14

x = -14 / -2

x = 7

Therefore,

∠LKN = 1 / 2 (-6x + 166)

∠LKN = 1 / 2 (-6(7) + 166)

∠LKN = 1 / 2 (-42 + 166)

∠LKN = 62 degrees

learn more on rhombus here: https://brainly.com/question/30995617

#SPJ1

Answer:

5:2

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

-4 + (5 - 2)(-6)

-4 + (3)(-6)

-4 + (-18)

-4 - 18

-22

Best of Luck!

The given system of equation :

x +2y =4

2x -2y =5

On adding both equation we get

x+2y+2x-2y=4+5

3x=9

x=3

So, for y, substitute x=3

x+2y=4

3+2y=4

2y=4-3

2y=1

y=1/2

The solutions is (3,1/2)

The system of linear equation have infintely many solution if they are coincidient, i.e. slope are equal

The given expression :

x+2y =4

2y=4-x

y=(4-x)/2

y = 2-x/2

So slope is (-1/2)

The second equation : 2x-2y=5

2y=2x-5

y=(2x-5)/2

y=x-

Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

To know more about an expression follow

https://brainly.com/question/28449912

#SPJ2

Answer:

Step-by-step explanation:

Let s, b, a represent the numbers of servings of steak, baked eggs, and acorn squash, respectively. Then the equations we want to solve are ...

  40s +20b +4a = 64 . . . . grams of protein

  10s +2b +20a = 29 . . . . grams of carbohydrate

  1s +20b +32a = 72.5 . . . milligrams of vitamin A

There are any number of calculators or web sites that will solve this system of equations for you. The solution is ...

  s = 0.5

  b = 2

  a = 1

The dietitian should provide 1/2 serving of steak, 2 servings of baked eggs, and 1 serving of acorn squash.

The correct solution to 2x + 3(x +1) = 2(3x +1) - 4 is x = 5 (option A).

The given equation is a  linear equation. A linear equation is made up of a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a graph.

Th form of a linear equation is:

y = mx + b

This is the given equation, 2x + 3(x +1) = 2(3x +1) - 4

In order to determine the value of x, take the following steps:

Expand the bracket: 2x + 3x + 3 = 6x + 2 - 4

Combine similar terms: 3 - 2 + 4 = 6x - 2x - 3x

Add similar terms together: 5 = x

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

Expression 2(x+1) represents the sum of bob and Jacks age.

An expression is combination of variables, numbers and operators.

Given,

Bob is x years old,

Jack is two years older than bob=x+2

we need to find the sum of jacks age and bobs age

x plus x plus two

x+x+2

Two times of x plus two

2x+2

Take two as common, two times of x plus one

2(x+1)

Hence expression 2(x+1) represents the sum of bob and Jacks age.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Solution:

The equation is given below as

By applying the logarithm law of multiplication, we will have

By substituting the values, we will have

Hence,

The value of x is

Answer:

2,688

Step-by-step explanation:

96 x 28 = 2,688

9 orangess + 8 apples - 2 apples

Here apples are the like terms...

9 oranges + 8 apples - 2 apples

= 9 oranges + 6 apples

¢αяσυѕєℓ :)