the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?

Answer:

12x plus 9x

Step-by-step explanation:

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

Answer:

The answer is a rotation, then a dilation.

Step-by-step explanation:

Step-by-step explanation:

35 × 14 = 476

476 × 4 = 1904 yd

14 × 14 = 196

196 × 2 = 392 yd

now,

392 yd + 1904 yd = 2296 yd². ans.

hope this helps you !

Answer:

1, 2, 4, 12

Step-by-step explanation:

yearly=1

semi-annually=2

quarterly=4

monthly=12

The estimated adult height for this girl is 65 inches.

To estimate the adult height of a girl who was 34 inches tall at the age of 2, we can use the given expression:

Adult height = 25 + 1.17h,

where h is the height in inches at the age of 2.

Plugging in the height at age 2 (h = 34 inches) into the formula, we have:

Adult height = 25 + 1.17(34) = 25 + 39.78 = 64.78 inches.

Rounding the estimated adult height to the nearest inch, we get approximately 65 inches.

Therefore, the estimated adult height for this girl is 65 inches.

It's important to note that this estimation is based on a mathematical formula and provides a rough approximation.

Actual adult height can be influenced by various factors such as genetics, nutrition, health conditions, and environmental factors.

For a more accurate estimate, it is advisable to consult a healthcare professional who can consider additional factors and provide a more personalized assessment of adult height based on growth patterns, family history, and other relevant information.

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Answer:

1/4

Step-by-step explanation:

Answer:

0.000752739974

by the way  i used a calculator

       I hope this helps :)

Answer:

x=2 x=-4

Step-by-step explanation:

x2+2x−8=0

Step 1: Factor left side of equation.

(x−2)(x+4)=0

Step 2: Set factors equal to 0.

x−2=0 or x+4=0

x=2 or x=−4

Answer:

x=2 or x=−4

Answer:

x=2 or x=-4

Step-by-step explanation:

ax^2+bx+c=0

when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4

Answer: A (2,5)

Step-by-step explanation: Remove Parenthesis

                                             y = 3 (2) - 1

                                             Simplify 3 (2) - 1

                                             Multiply 3 by 2

                                             y = 6 - 1

                                             Subtract 1 from 6

                                             y = 5

Use the x and y values to from the ordered pair.

(2,5)

Answer:

(2.5)

Step-by-step explanation:

Answer:

I'm pretty sure it is 85 feet

Answer:

(15000/10000)*100 = 150%

Step-by-step explanation:

Percent Change:

(new Value/old value)*100

Answer:

(10,000-15000)*100=150%

Step-by-step explanation:

percent change:

(new value/old value)

Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

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Answer:

R$49.02

R$49.09

Step-by-step explanation:

Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:

\(V = 1.02*48\\V=R\$48.96\)

O valor a ser pago n dias após o dia 13 de abril é dado por:

\(P=48.96*(1+\frac{0.033}{100} )^n\)

No dia 17 de abril, n =4 e o valor a ser pago é:

\(P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02\)

Caso n =8, o valor a ser pago seria:

\(P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09\)

100% humidity is very common in many coastal zones, near rivers or   lakes or in your bathroom when you take a shower, and possibly in  Alaska as well as UAE.

Relative humidity:

                             Relative humidity is the ratio of the current absolute humidity to the highest possible absolute humidity (which depends on the current air temperature). A reading of 100 % relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain. This doesn't mean that the relative humidity must be 100 percent in order for it to rain — it must be 100 percent where the clouds are forming, but the relative humidity near the ground could be much less.

0% humidity means there is an absence of water vapor in the air.

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Answer:

The ratio in simplest form is 8:1

Step-by-step explanation:

Ratio of chairs to tables

chairs: tables

160:20

Divide each side by 20.

160/20 : 20/20

8:1

The ratio in simplest form is 8:1

Answer:

D. 8 to 1

Step-by-step explanation:

To find the ratio of chairs to tables, we can divide the number of chairs by the number of tables:

Ratio of chairs to tables = Number of chairs / Number of tables

Ratio of chairs to tables = 160 / 20

Ratio of chairs to tables = 8

Therefore, the ratio of chairs to tables in the cafeteria is 8 to 1, which is option D.

Answer:

\(\frac{a+4\sqrt{ay}+4y}{a-4y}\)

Step-by-step explanation:

The area of the parallelogram will be 5 / 16 square feet. Then the correct option is B.

Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,

Area of the parallelogram = H × W square units

The width of the parallelogram is calculated as,

W = 3/4 - 1/8

W = (6 - 1) / 8

W = 5 / 8 feet

Then the area of the parallelogram is calculated as,

A = (5/8) x (1/2)

A = 5 / 16 square feet

The area of the parallelogram will be 5 / 16 square feet. Then the correct option is B.

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Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( \(x_{1}\) , \(y_{1}\) ) ⇒

Slope-point form of linear equation is y - \(y_{1}\) = m( x - \(x_{1}\) )

~~~~~~~~~~~~~

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

The main difference between the reciprocal and inverse of a function is their definition and properties. The reciprocal of a function f(x) is defined as 1/f(x), while the inverse of a function f(x) is a function f^(-1)(x) such that \(f(f^(-1)(x))=x and f^(-1)(f(x))=x\) for all x in their respective domains.

The domains of sine, cosine, and tangent functions need to be restricted to define their inverse functions because they are not one-to-one functions. In order to have an inverse, a function must be both one-to-one (each output has only one input) and onto (each output value is mapped by at least one input value).

For example:
- sine: restricted domain to [-π/2, π/2] to define its inverse, arcsin (sin^(-1))
- cosine: restricted domain to [0, π] to define its inverse, arccos (cos^(-1))
- tangent: restricted domain to (-π/2, π/2) to define its inverse, arctan (tan^(-1))

These restrictions ensure that the functions become one-to-one and onto, making it possible to define their inverses uniquely.

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Answer:

C: 13cm

Step-by-step explanation:

Given;

length of the rectangle, L = (x + 4) cm

width of the rectangle, W = \(\frac{2}{4}x\) cm

perimeter of the rectangle, P = 35 cm

The perimeter of a rectangle is given as;

P = 2(L + W)

Substitute the givens;

\(35 = 2[(x+ 4) + \frac{2x}{4} ]\\\\35 = 2[\frac{6x}{4} +4]\\\\35 = 3x+8\\\\3x = 27\\\\x = \frac{27}{3}\\\\x = 9\)

Then, L = (x + 4) cm

L = (9 + 4) cm

L = 13 cm

Therefore, the length of the rectangle is 13 cm

This prediction assumes that the linear relationship and moderate positive correlation between the midterm scores hold true for student A.

The given information states that there is a linear relationship between the first and second midterm scores, with a moderate positive correlation.

This implies that students who score below average on the first midterm are likely to score below average on the second midterm as well, and vice versa for those who score above average.

In this case, student A's first midterm score is 1 standard deviation below average, which is represented by a z-score of -1. A z-score measures how many standard deviations a data point is away from the mean.

Since there is a linear relationship between the two midterm scores, we can expect the z-score on the second midterm to be similar to the z-score on the first midterm.

Therefore, the best prediction for student A's z-score on the second midterm would also be -1.

It's important to note that this prediction is based on the given information and assumptions, and actual results may vary.

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Answer:

C. arm span, foot length is predicted to increase by about 0.186 cm.

Step-by-step explanation:

edgen 2022

C) arm span and foot length are predicted to increase by about 0.186 cm.

Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Given, The arm span and foot length were measured (in centimeters) for each of the 19 students in a statistics class and displayed in the scatterplot.

let "FL" be the foot length and "AS" be the Arm span.

Slope = Δy/Δx = ΔFL/ΔAS

ΔFL/ΔAS = 0.186

ΔFL = ΔAS* 0.186

thus an increase in AS by 1 cm will lead to an increase in FL by 0.186cm

Therefore,  the slope of the least-squares regression line means for each additional centimeter C) arm span, foot length is predicted to increase by about 0.186 cm.

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Answer:

Step-by-step explanation:

Cashmere and mohair fibers are produced from goats

seeds, fruits, stems, and leaves all produce natural plant fibers

Solution:

Given the functions below;

Where

Where, x = 2,

Substitute 2 for x into the composite function above

Hence, the answer is 49

The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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Since there are a adults and c children

Since there are 187 tickets sold

Then the number of adults and children is 187

Add a and c, then equate the sum by 187

Since the price of each adult's ticket is $25

Since the price of each child ticket is $13

Since the total revenue is $3223

Then multiply a by 25, c by 13, then add the products and equate the sum by $3223

Now, we have a system of equations to solve it

Multiply equation (1) by -13 to make c equal in values and opposite in signs to eliminate it

Add equations (2) and (3)

Divide both sides by 12

Substitute a by 66 in equation (1) to find c

Subtract 66 from both sides

The answers are:

a) The system of equations is

b) There were 66 adult tickets sold

c) There were 121 children's tickets sold