There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer:

Step-by-step explanation:

It’s going to be 42 inches and 40 inches because we are simplifying

The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

given that,

Camila drew a triangle with a side that is 24 inches long

and a side that is 18 inches long.

we know, that,

sum of length of two sides > third side,

so, the possible lengths are,

40 inches , 7 inches , 18 inches

Hence, The solution is, 40 inches ,or, 7 inches ,or,  18 inches, could be the length of the third side of the triangle that Camila drew.

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Answer:

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

Step-by-step explanation:

Find the coordinates of all  vertex

Solve:

(-1, -2 ) ⇒ this point is the vertex D of the pre-image

( 7 , 1 ) ⇒  this point is the vertex B of the pre-image

(-1, 7 ) ⇒ this point is not a vertex of the pre-image

(-1, 1 ) ⇒  this point is the vertex A of the pre-image

( 7 , -2 ) ⇒ this point is the vertex C of the pre-image

Thus, the answer is

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

~Lenvy~

Answers:

A ... (–1, –2)

B ... (7, 1)

D ... (–1, 1)

E ... (7, –2)

Step-by-step explanation:

Got it correct on Edge2020

The correct ratio to represent the ratio of cars to airplanes is 3:2

The correct ratio to represent the ratio of cars to airplanes in Alex's collection is 12:8.

To determine the ratio, we compare the number of cars to the number of airplanes. Since there are 12 model cars and 8 model airplanes, we express this ratio as 12:8.

The ratio of 12:8 can be simplified by dividing both numbers by their greatest common divisor, which is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2.

Therefore, the simplified ratio of cars to airplanes is 3:2.

Hence, the correct ratio to represent the ratio of cars to airplanes is 3:2.

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Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

Answer:70%

Step-by-step explanation:you have 7/10.SO u times the whole fraction by 10( 7 times 10 =70 and 10 times 10 =100) which means 70/100 so the percent is 70.

Hope it helps

Answer:

x = 6

Step-by-step explanation:

2x + 5 = 8x - 13 place like terms in the same side of the equation

5 + 13 = 8x - 2x add like terms

18 = 6x

6 = x

Answer: A

Step-by-step explanation:

Answer:

1/3 of 60 = 20

2/5 x 3 = 1 1/5

A: 1 1/5 cans of paint

Step-by-step explanation:

Answer:

4.58

Step-by-step explanation:

Answer:

is super easy Step-by-step explanation Do you?

Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

Answer:

1,428 inches cubed

Step-by-step explanation:

This easy, to find a volume of a cube/rectangular prism you just do lengthxwidthxhight

12x7x17=1428

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

9.6 × 10  6

Step-by-step explanation:

(7.584 × ) ÷ (7.9 × 10²)

This gives;

×    = 0.96 ×

Simplifying further gives;

9.6 ×  = 9.6 ×

The expected time it takes the program to be compiled is  mathematically given as 15mins

This is further explained below.

Generally, Using all three computers, one block's compilation time would be shown as the

\(Y_1, Y_2 and Y_3.\)

Therefore

\(Y_i {Exp}\left(\frac{1}{5}\right)\\\\=\frac{1}{\lambda}\)

=5

Z=Y_1+Y_2+Y_3

\($Z \sim {Gamma}\left(\alpha=3, \quad \lambda=\frac{1}{5}\right)$\)

because the parameters' gamma distribution and total sum are independent,  \(\alpha=n \ and \ \lambda\) and exponential variables accompany them.

\(&\rightarrow E(Z)=\frac{a}{\lambda} \\\\&=\frac{3}{\frac{1}{5}} \\\\&=3 \times 5 \\\\&=15\\\\)

In conclusion,  compiling the software takes 15 minutes.

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Answer:

Step-by-step explanation:

The symbolic quantified statement is given as:

For all real integers x and y, if x³ = y³, then x = y.

Using quantifiers, this can be written as:

∀x,y∈ℝ, (x³ = y³) → (x = y)

The symbolic quantified statement represents the original sentence using logical symbols and quantifiers.

The universal quantifier (∀) is used to denote "for all," while the implication arrow (→) represents "if... then." The statement asserts that if the cubes of any two real integers x and y are equal, then x and y are equal as well.

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the probability that the card selected is a spade or a queen is given by P= 0.25

In a deck, there are:

total card = 52

spade = 13

Required

Determine the probability that a selected card is a spade

This is represented as: P(Spade) and it is calculated using:

P= card / spade

Substitute 13 for Spade and 52 for Cards

P = 13/52

 = 0.25

Hence, the required probability is 0.25

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its the 3rd answer 26V3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

(x - 5)² + y² = 16

Step-by-step explanation:

Center: (5, 0),

Radius: 4

equation: (x - 5)² + (y - 0)² = 4²

(x - 5)² + y² = 16

The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.

Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S

For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.

\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)

Cancelling the -4:

\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)

Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)

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Answer:

225 red cars & 375 white cars  

Step-by-step explanation:

According to the specified ratio, there are 225 red cars and 375 white cars in the parking lot.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

given, There are 600 cars in the parking lot. The ratio of red cars to white cars is 3:5. let ratio is in the term of variable x

Thus,

3x + 5x = 600

=> 8x = 600

=> x = 75

Total number of red cars = 3x

Total number of red cars = 3 * 75

Total number of red cars = 225

Total number of white cars = 5x

Total number of white cars = 5*75

Total number of white cars = 375

Therefore, there are 225 red cars and 375 white cars in the parking lot as per the given ratio.

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Answer: pi/6, 5pi/6

Step-by-step explanation:

2sinx-1=0

2sinx=1

sinx=1/2

sin is positive in y axis so it is pi/6, 5pi/6

As we know that according to tignometric ratios:

So according to given diagram we are taking angle A:

So according to angle A

Perpendicular = BC= 8cm

Base = AC=15 cm

Hypotaneous= AB=17cm

Now

So the option B is correct.

the increment in the number of shells is 9

the original number of shells is 40

the percent change is computed as follows:

Substituting:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

\( m\overset{\Large\frown}{ABC} \: = \: 196° \)

Answer:

99, 664

Step-by-step explanation:

Let company has total x employees.

\(29.8 \% \: of \: x = 29700 \\ \\ 0.298x = 29700 \\ \\ x = \frac{29700}{0.298} \\ \\ x = 99,664.4295 \\ \\ x \approx \: 99,664 \: \)

Answer:  99,664 employees in total

Step-by-step explanation:

So if 29.8% of the total people is 29,700  people then we could represent that by the equation.

29.8% * x = 29,700  where x is the total people.

0.298 * x = 29,700

0.298x = 29,700

 x = 99,664.429  

Rounded to the nearest whole number is 99,664