A coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18). A line is drawn from Ping to Ari.

Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym Two-thirds the distance from Ping's home to Ari's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the gym?
9th Street and 10th Avenue
12th Street and 12th Avenue
14th Street and 12th Avenue
15th Street and 14th Avenue

The surface area of the composite figure shown in the image is 952 ft²

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

Surface area of composite is the sum of the individual areas of the surface.

Hence:

Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²

The surface area of the composite figure shown in the image is 952 ft²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

There are 120 five digit numbers that can be created

The digits are given as:

2, 3, 5, 7 and 8

Since there are no conditions, and the digits cannot be repeated.

Then the number of digits is:

Digits = 5!

Expand

Digits = 5 * 4 * 3 * 2 * 1

Evaluate

Digits = 120

Hence, there are 120 five digit numbers that can be created

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Answer:

Please review the equation format.  I made an assumption (below) for this answer.

-0.57

Step-by-step explanation:

5x2 45x 24 = 0 is not a quadratic formula,

5x^2 + 45x + 24 = 0 is, however.  Also, it gives -.8.43 as one solution.  The other is −0.569351, or -0.57 to the nearest hundredth.

The other solution of the given quadratic equation would be -0.57

Quadratic Equation

An algebraic equation of the second degree in x is known as a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

The given quadratic equation is,

5x² + 45x + 24 = 0

Here,

a = 5

b = 45

c = 24

Applying the Quadratic Formula

The quadratic formula for the two roots of a quadratic equation is given as,

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]       ........... (1)

and [tex]x=\frac{-b+\sqrt{b^{2}+4ac } }{2a}[/tex]   ............ (2)

Substituting the values of a, b, and c in equation (1), we get,

x = -8.43

Calculating the Second Root

Now, the other solution can be found by substituting the values of a, b, and c in the equation (2),

[tex]x=\frac{-45+\sqrt{45^{2}+4(5)(24) } }{2(5)}[/tex]

[tex]x=\frac{-45+\sqrt{(2505) } }{10}[/tex]

[tex]x=-0.57[/tex]

Learn more about a quadratic equation here:

https://brainly.com/question/17177510

#SPJ4

9 and -4
7 and -2
5 and 0

Each and every pair has a total of 5.

Answer:

9 and-4

7 and -2

5 and 0

Step-by-step explanation:

When ya subtract 4 from 9 you get 5

the same applies to the rest.

The value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The given quadratic expression needs to be expressed using the perfect square method to be of the form (x + b)² + c.

We express the quadratic expression x² + 1300x + 1300 using the perfect square method following these steps:

x² + 1300x + 1300

= x² + 2x(1300/2) + (1300/2)² + 1300 - (1300/2)²

= x² + 2x(650) + (650)² + 1300 - (650)²

= (x + 650)² + 1300 - 422500

= (x + 650)² - 421200.

Comparing this to (x + b)² + c, we get:

b = 650, and c = -421200.

Therefore, the value of c/b = (-421200)/650 = -648.

Therefore, the value of c/b when the quadratic equation x² + 1300x + 1300 is written in the form (x + b)² + c, b and c being constants is -648.

The question seems improper. The proper question is:

" The quadratic x^2+1300x+1300 can be written in the form (x + b)^2+c, where b and c are constants. What is c/b?"

Learn more about quadratic equations at

https://brainly.com/question/24929362

#SPJ4

The smallest of the even integers is 8.

It is a well-known fact that the sum of the first n odd numbers is n^2. This makes the sum of the first 8 odd numbers equal to 64.

Let n be equal to the smallest of the 5 even integers. Then (n+2) is the next highest, (n+4) even higher, and so on.

This sets up the equation n+(n+2)+(n+4)+(n+6)+(n+8)+4=64

Now we solve:

5n+24 = 64

5n = 40

n = 8

The smallest of the even integers is 8.

Learn more about integers here: https://brainly.com/question/14453211

#SPJ4

Answer:

9

Step-by-step explanation:

Because line PQ and line PR are both tangent to circle S, it would result in them being equal. So first to find PQ, you would have to find the value of variable x. To do this you would set both equations equal to each other and solve

6x - 9 = 2x + 3

-2x       -2x

4x - 9 = 3

    +9   +9

4x = 12

x = 3

Now you have to substitute 3 back into the equation for PQ:

6(3) - 9

18 - 9

= 9

Resulting in PQ = 9, to check your answer, take the value of x (3) and substitute it into PR and you should also get 9

2(3) + 3

6 + 3

= 9

The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle

We are given that;

∠MRS ≅ ∠MRO

Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since  from the given image, we see that;

m∠MRS = m∠MRO = 90°

Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.

Read more about angle postulate at; https://brainly.com/question/24839702

#SPJ1

Answer:

hope it will help you to

hope it will help you

It would be y = ex - 4

As a suggestion, I would recommend using the desmos calculator online. It's an entirely free graphing calculator and helps with questions like this. I hope that helps!

The value of x will be equal to 6 units.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

Given that the radius of the circle is 9 which is SO= 9 and SG = 9.

Now the value of x will be calculated by using the Pythagorean theorem.

H² = P ² + B ²

OG² = 12² + 9 ²

OG = √225

OG = 15

Since, OG = OH + HG

HG = OG - OH

x  = 15 - 9

x = 6 units

Therefore the value of x will be equal to 6 units.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

Answer:

C. 0≤x≤7

Step-by-step explanation:

It is not choice D. because it has y instead of x. It is supposed to be x because it is asking for domain.

Hope this helps!

The predicted value of Y must be between 0 and 1.

A linear probability model (LPM) is a regression model where the outcome variable is a binary variable, and one or more explanatory variables are used to predict the outcome. Explanatory variables can themselves be binary, or continuous.

Suppose, that the linear probability model yields a predicted value of Y that is equal to 1.3.

This is nonsensical because

The predicted value of Y must be between 0 and 1.

Learn more about linear probability  model here https://brainly.com/question/23892227

#SPJ4

The two real values that are not in the domain of the composition are x = 2 and x = -2.

Here we have:

f(x) = 1/x

g(x) = x^2 - 4

The composition is:

f°g = f(g(x)) = 1/(x^2 - 4)

The two values that are not in the domain are the values of x such that g(x) = 0, because we can't divide by zero.

g(x) = 0 = x^2 - 4

4 = x^2

±√4 = x

±2 = x

So g(x) = 0 when x = 2 or x = -2, so these are the two real values that are not in the domain of f°g.

If you want to learn more about domains:

https://brainly.com/question/1770447

#SPJ1

The graph of the inequality will be B. on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

It can be deduced that the coordinates satisfy the equation of the line.

3y = 2x - 12

Divide through by 3.

y = 2/3x - 4.

The slope is 2/3.

In conclusion, the correct option is B.

Learn more about inequalities on:

brainly.com/question/14074138

#SPJ1

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cone volume equals

V=π/3r²h

(1782=π/3r²h) multiplied by 3 to get rid of the denominator

5346=πr²h

cylinder v=πr²h by substitution the volume would be the same as cone 5346

The value of DF = 20.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Given:

Using theorem

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

ΔSDF/Δ RTY = (SD/RT)= (DF/TY)=  (FS/ YR)

ar ΔSDF² / ar  ΔRTY² = 16/81

SD/ RT = 4/9

SD = 4x,  RT= 9x

SD= 8

4x = 8

x = 2

So,

RT=  9*2 = 18

SF = RT -2

SF = 16

(SD/RT)= (FS/ YR)

8 / 18 = 16/ YR

YR= 36

TY= 9 +RY = 45

(DF/TY)=  (FS/ YR)

DF / 45= 16/ 36

DF=20

Learn more about similarity here:

https://brainly.com/question/25882965

#SPJ1

The value of the washing machine after 6 years with 20% depreciation every year is $78.64.

Depreciation is the practice of subtracting a business asset's cost over a number of years as opposed to just one.

Depreciation is used to adjust the cost of a productive asset with a longer-than-year-long useful life to the income generated by operating the asset. The expense of the asset is typically dispersed across the years that it is utilized.

Calculation for the asset value after depreciation of 20% every year.

The purchasing cost of washing machine is $300.

The rate after 6 years is-

Rate = purchased price×[tex](1-r)^{t}[/tex]

       = 300×[tex](1-0.2)^{6}[/tex]

       = 300×[tex]0.8^{6}[/tex]

       = 78.64

The cost of washing machine after 6 years will be $78.64.

To know more about the depreciation, here

https://brainly.com/question/25785586

#SPJ4

The volume of the sphere is 2308.4 mm³

From the question, we are to determine the volume of the sphere

The volume of a sphere is given by the formula

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the given information,

Diameter, d, of the sphere = 16.4 mm

r = 16.4/2

r = 8.2 mm

∴ [tex]V=\frac{4}{3}\times 3.14 \times 8.2^{3}[/tex]

V = 2308.394

V ≅ 2308.4 mm³

Hence, the volume of the sphere is 2308.4 mm³

Learn more on Calculating volume of a sphere here: https://brainly.com/question/10171109

#SPJ1

Answer:

Y = 5x + 25

Step-by-step explanation:

$25 is the constant, meaning regardless of the time he spends, he will not pay more or less.

However, he pays 5 dollars for every hours (x) = 5x

Answer:

your question is wrong, it's not an expression but a quadratic equation. if so your answer will be x=8±2√7

Step-by-step explanation:

by using, completing the square method

x²-16x-4=0

x²-16x=4

x²-16x+(-16×0.5)²=4+(16×0.5)²

x²-16x-8²=4+8²

(x-8)²=68

x-8=√68

x-8=±2√7

so x=8±2√7

please next time write the correct question

Answer:

inverse variation: xy=20

Step-by-step explanation:

Direct Variation is when y increases as x increases and is linear

Inverse Variation is when y decreases as x increases although it's not linear and the x and y has a constant product.

By observing the table, you'll see as x increases, y decreases. You'll also notice a constant product of 20 between x and y. (2 * 10) =  20. (4 * 5) = 20. ( (8 / 1) * (5 / 2) = 40/2 = 20))... and so on. So the function can be represented as xy = 20

The value of the side b and c will be 58.57 units and 36.86 units, and angle ∠B will be 107°.

Let the triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c.

Then by the sine law, we have

[tex]\rm \dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

The sum of angles of triangle is 180°.

∠A + ∠B + ∠C = 180°

36° + ∠B + 37° = 180°

                  ∠B = 107°

Then the side b will be

sin 36° / 36 = sin 107° / b

                b = 58.57 units

Then the side c will be

sin 36° / 36 = sin 37° / c

                c = 36.86 units

Learn more about law of sines here:

https://brainly.com/question/17289163

#SPJ1

Using proportions, the percentage change in the cost of manufacturing the kitchen cabinet was a increase of 5.5%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The standard cost is given as follows:

S = 250 + 120 + 60 = $430.

After the increases, the price will be given as follows:

S = 250 x 1.1 + 120 x 1.08 + 60 x 0.82 = $453.8.

The price increased. The percent change, given by the change divided by the initial value, is:

P = 23.8/430 x 100% = 5.5%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The width that must meet a right angle is 14.87 cm

The given parameters are:

The width is calculated using the following Pythagoras theorem.

Width^2 = Diagonal^2 - Length^2

So, we have:

Width^2 = 18.2^2 - 10.5^2

Evaluate

Width^2 = 220.99

Take the square root of both sides

Width = 14.87

Hence, the width that must meet a right angle is 14.87 cm

Read more about right triangles at:

https://brainly.com/question/6322314

#SPJ1

Answer:

x=5/6 but since you gave options in terms of y: -8y=6

Step-by-step explanation:

When you add equations together to solve for a systems of equations, it because you want to cancel out one of the values, and in this case it's the 6x, since the 6x + (-6x) = 0

Now all you need to do is add the -12 and 4y and you get -8y which is going to be the left side of the equation

Now add the -8 and 14 and you get 6 which is going to be the right side of the equation. This gives you the equation:

-8y = 6

Divide both sides by -8

y =  -0.75

Now plug this into either original equation but in this case I'll just use the -6x+4y=-8

Plug in -0.75 as y

-6x+4(-0.75) = -8

-6x-3=-8

-6x=-5

Divide both sides by -6

x=5/6

Answer:

Step-by-step explanation:

The angle based on the information given about the rail is 163°.

From the information given, the value of angle 2 will be:

17° + x = 180° (angle on a straight line)

Collect like terms

x = 180° - 17°

x = 163°

In this case, it should be noted that angle 1 and 2 are alternate angles. Therefore, angle 1 will be 163°.

Learn more about angles on:

brainly.com/question/10532760

#SPJ1

The z score for the number 7 is -0.92.

The standard deviation is 4.32

X is the score that is 7 given.

We have to calculate the z score for doing so we need the mean also.

Mean is obtained by dividing the sum of numbers / total frequency.

Mean = Summation of numbers / total numbers

= 5, 7, 9, 11, 13, 15, 17 / 7

= 77/7

= 11

Formula of z-score, Z= x - mean /S.D.

x is the number that is 7.

S D is the standard deviation.

Z= 7-11 / 4.32

= -4/4.32

Z score = -0.92

In data, the standard deviation is a degree of the quantity of version or dispersion of a fixed of values. A low fashionable deviation suggests that the values have a tendency to be near the suggest of the set, while a high widespread deviation shows that the values are spread out over a much broader range.

Standard deviation is vital because it is able to assist users check chance. Bear in mind a funding option with a median annual return of 10% in line with the year. However, this average changed into derived from the past three-year returns of 50%, -15%, and -5%. with the aid of calculating the same old deviation and understanding your low likelihood of really averaging 10% in any single given 12 months, you're better armed to make knowledgeable decisions and apprehend underlying risk.

Learn more about the standard deviation here https://brainly.com/question/475676

#SPJ4