2 5/8 + 1 3/8
2 5/11 + 3 4/11
2 5/16 + 5 1/16
3 2/19 + 4 3/19
1 6/7 + 2/7

The distance of AB is 2√5.

Given that the point A is (2,-1) and point B is (4,3).

The distance formula gives us the shortest distance between the given two points in a plane of two dimensional.

The given points is point A(x₁,y₁)=(2,-1) and point B (x₂,y₂)=(4,3).

Now, we will use the distance formula to calculate the distance that is D=√(x₂-x₁)²+(y₂-y₁)².

Further, we will substitute the given values in the above formula, we get

D=√(4-2)²+(3-(-1))²

D=√2²+(3+1)²

D=√2²+4²

D=√4+16

D=√20

D=2√5

Hence, the distance of AB from the given points point A is (2,-1) and point B is (4,3) is 2√5.

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Answer:

x = -3

Step-by-step explanation:

-10 + 5x = 7x - 4

      -7x    -7x

-10 - 2x = -4

+10          +10

- 2x = 6

÷-2   ÷-2

x = -3

Answer:

1) x≤10.33

2) x≤5

Step-by-step explanation:

Question: 3x−8≤23

1) 3x≤31

2) x≤10.33

Question: -4x + 26≥6

1) -4x ≥-20

2) x ≤5

1) 3x < 23 + 8

3x < 31

x < 31/3

x < 10.33

x value will be more than equal to 10.33

2) -4x > 6 - 26

x > -20/-4

x < 5

x value will be less than and equal to 5

The total number of matches played will be 46. matches.

From the information, there are 24 baseball teams in a league each team plays two matches against each of the other teams.

The total number of matches that will be played will be:

= (24 - 1) × 2

= 23 × 2

= 46 matches.

Therefore, the total number of matches played will be 46. matches.

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The answer is 360 miles

so you do

15 times 8 and that equals 120

so then you also o 120 times 3 and the answer is 360 :>

you are so welcome

Answer: not possible

Step-by-step explanation:

I think you're doing quadratics and if that's the case probably go and rework the problem because that doesn't work.

The area of the floor on which Connie is laying the carpet is 9.88 m²

An equation is an expression that shows the relationship between two or more numbers and variables.

Area is the amount of space occupied by a two dimensional shape or object.

Connie is ordering new carpet for a room 2.6m*3.8m*8.3m. Hence:

Area of the floor = 2.6 m * 3.8 m = 9.88 m²

The area of the floor on which Connie is laying the carpet is 9.88 m²

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Two diagrams have been drawn that could be proved congruent by the ASA condition.

So,

Therefore, two diagrams have been drawn that could be proved congruent by the ASA condition.

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each input is mapped into only one output, then this relation is a function.

The correct option is "Yes, because each input value has only one output value"

A relation maps elements from a set (called the domain, which is the set of the inputs) into elements from another set (called the range, which is the set of the outputs). Such that these mappings generate coordinate pairs (x, y) or (input, output)

A relation is a function only if all the elements in the domain are mapped into only one value in the range.

On the given relation, we have the coordinate pairs:

(6, 3)

(1, 2)

(-1, -1)

(4, 3)

So we can see that each input is mapped into only one output, then this relation is a function.

The correct option is "Yes, because each input value has only one output value"

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Answer:

C. Yes, because each input value has only one output value

Step-by-step explanation:

Answer:

y = 1

if you need answer of x

x = 2

Step-by-step explanation:

Let's solve your system by substitution.

4x+2y=10;3x+5y=11

Step: Solve4x+2y=10for x:

4x+2y=10

4x+2y+−2y=10+−2y(Add -2y to both sides)

4x=−2y+10

4x/4 = −2y+10/4

(Divide both sides by 4)

x= −1/2y+5/2

Step: Substitute −1/2y+5\2 for x in3x+5y=11:

3x+5y=11

3(−1/2y+5/2)+5y=11

7/2y+15/2=11(Simplify both sides of the equation)

7/2y+15/2+−15/2=11+/−152

(Add (-15)/2 to both sides)

7/2y=7/2

7/2y/7/2 = 7/2/7/2

(Divide both sides by 7/2)

y=1

Step: Substitute1for y in x= −1/2y+5/2:

x=−1/2y+5/2

x=−1/2(1)+5/2

x=2(Simplify both sides of the equation)

The option (B) (2, 5), (3, 6), (6, 9) is a function.

Function, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

"f(x) = ... " is the classic way of writing a function.

For the given situation,

The list of ordered pairs are given in option.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

According to the definition, the ordered pair should not have same x value.

Thus in option B (2, 5), (3, 6), (6, 9), each input is related to exactly one output.

Hence we can conclude that the list of ordered pairs of option (B) (2, 5), (3, 6), (6, 9) is a function.

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The explicit formula of arthmetic sequence is [tex]a_{n}[/tex] = a + (n-1)d

Here is an explicit formula of the sequences 62, 59, 56, and 53...

  [tex]a_{n}[/tex] = 62 + (n-1)(-3)

In the formula, n is any term number and [tex]a_{n}[/tex] is the nth term.

This formula allows us to simply plug on the number of the term we are interested in, and we will get the value of that term.

In order to find the fifth term, for example, we need to plug n = 6

     [tex]a_{6}[/tex] = 62 + (6-1)(-3) = 62 + 5× -3

      = 62- 15

      = 47

In this way, we can find any term by using the explicit formula of an arithmetic sequence.

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The total amount that debtors are overcharged is 360 million dollars.

The unitary method is a technique to find the necessary value by multiplying the single unit value by finding the value of single unit value. We will use the same technique to solve this problem

According to question, $6 is charged per month for 5 years period from 1 million credit card holders

so, the total amount will be

1000000 × $6 × 12 × 5 = $360000000

Final answer: amount will be 360 million dollars

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The final price after all discounts is $62.74.

A discount is when the price of an item is decreased. An item becomes cheaper when a discount is applied.

Percentage is the fraction of an amount expressed as an amount out of 100. Percentage is a measure of frequency. The sign used to represent percentage is %.

Price of the skateboard after the first discount = (1 - discount) x initial price

(1 - 0.30) x 119.50

0.70 x 119.50 = $83.65

Price of the skateboard after the second discount = (1 - discount) x discounted price

(1 - 0.25) x $83.65

0.75 x $83.65 = $62.74.

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42%  is the probability that exactly one is paid by the hour.

In statistics, what does a probability mean?

P( exactly one paid by hour ) =

[tex]\frac{71}{100} . \frac{29}{100} + \frac{29}{100} . \frac{71}{100} = \frac{2059 + 2059}{10000}[/tex]

[tex]\frac{4118}{10000} = 42%[/tex]%

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The equation in slope-intercept form for the line given (-3,12) and (15,0) is

[tex]y=-\frac{2}{3}x+ 10[/tex]

Given,

The points = (-3,12) and (15,0)

We know,

Slope of the equation m= [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Substitute the values and find the value of m

m= [tex]\frac{0-12}{15--3}[/tex]

m=[tex]-\frac{12}{18}=-\frac{2}{3}[/tex]

Slope intercept form of the equation is y= mx + b

where b is y intercept form.

Consider one point and substitute the values.

[tex]0=-\frac{2}{3}(15)+b \\0=-10+b\\b=10[/tex]

Then the slope intercept form is

[tex]y=-\frac{2}{3}x+ 10[/tex]

Hence, The equation in slope-intercept form for the line given (-3,12) and (15,0) is [tex]y=-\frac{2}{3}x+ 10[/tex]

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According to the question, the given parameters with different numbers for the line LH is as follows:

LM =3, MH = k/9 and LH =5

To calculate the distance of the line LH, the expression can be written as:

LH = LM+MH

Substitute the given parameters in the above expression:

5 = 3 + (k/9)

Now, solving above expression, we get the calculated value for the variable 'k':

k = 18 units

Hence, the calculated value for the variable k = 18 units.

How to define distance for the line?

Distance defines the length segment of the line in the coordinate geometry. It is respective length between the two points. In this, the line segment is divided into two parts.

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2 m/s^2 is the acceleration in the given graph .

Acceleration is the general term for any process where the velocity changes. There are only two ways to gain speed: by changing your speed or direction, or by doing both. This is thus because speed and direction both affect velocity.

Since we formula for acceleration is =
(v - u) / t

where u represents initial velocity , v represents final velocity

  so acceleration from graph will be = (7 - 0)/3.5  

                                                            = 7/3.5

                                                            = 2 m/s^2

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Using the graph of g we get (a) value of function g at x=0 is 5

(b) [tex]\lim_{x \to \00} g(x)[/tex] or limit of g(x) at x=0 does not exist

(c) value of function g at x=1 is 4

(d) [tex]\lim_{x \to \11} g(x)[/tex]  or  limit of g(x) at x=1 is 4

What is limit of a function how can limit be interpreted using graph of that function?

Limit : Limit is the value that a function output approaches as the input  approaches to a certain value.

For any function g(x) ,[tex]\lim_{x \to \22} g(x)[/tex] means that the value g(x) approaches as the x approaches to 2 .

From any graph we can easily see that to what value g(x)=y  on the curve is approaching when the x  is approaching to some value on x axis and if the graph is breaking on the value where x is approaching then the limit does not exist for that value of x.

For given graph

We can see value of value of function g at x=0 is 5 and value of function g at x=1 is 4

As the graph is breaking on x=0 into two functions then [tex]\lim_{x \to \00} g(x)[/tex] or limit of g(x) at x=0 does not exist

As the graph is not breaking at x=1 or we can say that graph of g(x)is approaching to 4 as x approaches to 1 then   [tex]\lim_{x \to \11} g(x)[/tex]  or  limit of g(x) at x=1 is equal to g(1) that is  4

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Given that when Q = 2, P = 24 the value of P when Q = 10 is 120.

It should be noted that given that when Q = 2, P = 24, the constant will be;

= 24/2 = 12

Therefore, the value of P when Q is 10 will be:

= 12 × 10

= 120

The value of P is 120.

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The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter.

A circle is a two-dimensional closed figure in which the set of all points in the plane is equidistant from a given point known as the "centre."

The center of a circle is the point at which the tip of our compass is placed when drawing a circle. It is the center of the circle's diameter. The radius of a circle is the distance from the center to any point on its circumference that is always the same.

The center of the circle that is internally tangent to all three triangle sides; the orthocenter, the intersection of the triangle's three altitudes; and the nine-point center, the center of the circle that passes through nine key triangle points.

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

Work Shown:

[tex]SA = 2\pi r^2 + 2\pi r h\\\\SA \approx 2*3.14*15^2 + 2*3.14*15*40\\\\SA \approx 5181\\\\[/tex]

The cylinder has a surface area of about 5181 square feet.

Side notes:

Answer:

Step-by-step explanation:

3768 feet. Is this right?

The amount raised in the west in scientific notation is 8.650  × 10³.

The four region raised 5.38 × 10⁴ dollars(53800)

According to the table,

Amount east raised = 1.46 × 10⁴ = 14600

Amount North raised = 2.38 × 10⁴ = 23800

Amount South raised =  6.75 × 10³ = 6750

Therefore, the amount raised in the west can be calculated as follows;

amount raised in the west = 53800 - 14600 - 23800 - 6750

amount raised in the west = 8650

amount raised in the west = 8.650  × 10³

Therefore, the amount raised in the west in scientific notation is 8.650  × 10³.

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The subtraction equations written as addition equations are

a + (-9) = 6

p + (-20) = -30

z + 12 = 15

x + 7 = -10

From the question, we are to write each of the given subtraction equation as an addition equation

This equation written as an addition equation is

a + (-9) = 6

This equation written as an addition equation is

p + (-20) = -30

This equation written as an addition equation is

z + 12 = 15

This equation written as an addition equation is

x + 7 = -10

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