Mathematics High School

Quadrilateral ABCD is dilated with center
( 0, 0 ), taling B to B' . Draw A' B' C' D' .

Answers

Answer 1

Answer:

See the picture below

Step-by-step explanation:

Related Questions

Given f(x)=2x-5, describe how the graph of g compares with the graph of f.
g(x)=2(0.2x)-5

Answers

The graph of g and f have equal intercepts while the slope of the graph of f is 5 times larger than the slope of the graph of g

How to compare the graph of g with the graph of f

Given: f(x) = 2x-5 and g(x)=2(0.2x)-5

To compare the two graphs, we can make use of the equation of a line:

The general form of the equation of a line is y = mx + c

Where m is the slope and c is the intercept

So we will compare two the functions with the equation of a line:

Comparing f(x) = (2x-5) with y = mx + c

The slope(m) of the line = 2 and the intercept(c) = -5

Also, comparing g(x) = 2(0.2x)-5 with y = mx + c

The slope(m) of the line = 2(0.2) = 0.4 and the intercept(c) = -5

Since the slope of f(x) = 2 and the slope of g(x) = 0.4. Thus:

slope of f(x) / slope of g(x) = 2/0.4 = 5

So we can say the slope of f(x) is 5 times the slope of g(x)

Therefore, the graph of g and f have the same intercept. But the slope of f(x) is 5 times the slope of g(x)

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Which of the following rational functions is graphed below?

Answers

The correct answer is b because the coordinates are the complete opposite making it a obtuse graph

a builder appoints three construction workers akash, sunil and rakesh on one of his sites. they take 20, 30 and 60 days respectively to do a piece of work. how many days will it take akash to complete the entire work if he is assisted by sunil and rakesh every third day?

Answers

It will take 15 days for Akash to complete the entire work if he is assisted by Sunil and Rakesh every third day.

To determine the number of days, we first represent the number of days to do a piece of work by each one of them in fractions as follows;

Fraction of work completed by Akash in 1 day = 1/20

Fraction of work completed by Sunil in 1 day = 1/30

Fraction of work completed by Rakesh in 1 day = 1/60

The total work done in 1 day can be given as;

Total work done by the three in one day = [(1/20) + (1/30) + (1/60)] = 1/10

Work done by Akash in two days = 2 × (1/20) = 2/20 = 1/10

The work done in three days (1 day of all three together + Work done by Akash in two days) = (1/10) + (1/10) = 1/5

Therefore; the total work done in 3 days = 1/5

At this rate, the total number of cycles required to finish the work =

(1) ÷ (1/5) = 5

Since each cycle has three days, the total number of days required to finish the work can be calculated as follows;

5 × 3 = 15 days

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Write the slope-intercept form of the equation of the line through the given points13) through: (5, 3) and (5, 4)14) through: (0, 4) and (2, 3)15) trough: (-1, 4) and (-4,-5)16) through: (-1, -2) and (-3,0)

Answers

The slope-intercept form of the linear equation is

y = m x + b, where

m is the slope

b is the y-intercept

If the x-coordinates of the two points are equal, that means the line is vertical

A vertical line has no slope

Its equation is x = a, where a is the x-coordinate of any point on the line

13) The two points are (5, 3) and (5, 4)

They have the same x-coordinates, then its equation is

x = 5

The rule of the slope is

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) and (x2, y2) are two points on the line

The line passes through points (0, 4) and (2, 3)

x1 = 0 and y1 = 4

x2 = 2 and y2 = 3

Substitute them in the rule above to find m

[tex]m=\frac{3-4}{2-0}=-\frac{1}{2}[/tex]

The equation is

[tex]y=-\frac{1}{2}x+b[/tex]

b is the value of y at x = 0

at x = 0 y = 4

b = 4

The equation of the line is

[tex]y=-\frac{1}{2}x+4[/tex]

Write a linear equation to represent the given problem and then solve the problem.

The perimeter of a rectangle is 150 cm. The length is 15 cm greater than the width. Find the dimensions.

Perimeter = 2 x Length + 2 x Width

Answers

w=L+15

p=(L+w)

150cm=L+L+15

150cm=2L+15

2L=150cm-15

2L=135cm

2L÷2=135cm÷2

L=67.5

w=67.5+15

w=82.5

Orlando is getting balloons for his grandmother's birthday party. he wants each balloon string to be 6 feet long. at the party store, string is sold by the yard. if orlando wants to get 72 balloons, how many yards of string will he need?

Answers

144 yards of string will need to use balloons for the party.

Given,

The length of balloon string Orlando wanted = 6 feet

Number of balloons = 72

We have to find the total length of strings wanted for 72 balloons in yards.

1 yard = 3 feet

Now,

Total length of strings Orlando needs = length of one string x number of balloons = 6 x 72 = 432 feet

Now convert 432 feet into yard

That is,

432 / 3 = 144 yards

So,

144 yards of string will need to use balloons for the party.

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Fun times Amusement Park Charges a $7 admission fee plus $1.75 per ride. What is the equation, in intercept form for calculating the total cost, C, of going to the park and riding r rides?1. C = 1.75 + 7r2. C = 1.75r3. C = 7r4. C = 7 + 1.75r

Answers

The general form of an equation in intercetp form is:

[tex]y=mx+b[/tex]

Where m is the change of y in function of x and b is the value of b when x is 0

In this situation you have:

y=C

x=r

m= 1.75 ( C increase 1.75 each r)

b= 7 (When there is not ride r=0 the admission fee is 7)

Then, you have the equation:[tex]C=1.75r+7[/tex]or C = 7 + 1.75r

Marques works in a department store selling clothing. He makes a guaranteed salary of $200 per week, but is paid a commision on top of his base salary equal to 10% of his total sales for the week. How much would Marques make in a week in which he made $750 in sales? How much would Marques make in a week if he made x dollars in sales?

Answers

The most appropriate choice for percentage will be given by -

Total salary of Marques in a week = $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{x}{10}[/tex])

What is Percentage?

Suppose there is a number and that number has to be expressed as a fraction of 100. The fraction is called percentage. For example 2% means [tex]\frac{2}{100}[/tex]

Here,

Guarantee salary of Marques = $200

Sales made by Marques in a week= $750

Percentage commission on total sales = 10 %

Commission received by Marques = [tex]\frac{10}{100} \times 750\\[/tex]

= $75

Total salary of Marques in a week = $(750 + 75)

= $825

If Marques makes $x in sales, his total salary in a week = $([tex]750 + \frac{10}{100}\times x[/tex])

= $([tex]750[/tex] + [tex]\frac{x}{10}[/tex])

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For a particular rectangle, twice the width is 4 meters shorter than the length. The area of the rectangle is 126 square meters. What is the perimeter of the rectangle? ? meters

Answers

Let l be the length of the rectangle and w its width.

Then its area is given by:

a = l*w

Its perimeter is given by:

p = 2l + 2w

We also know that, for this specific triangle, we have:

2w = l - 4

l = 2w + 4

a = 126 m²

Applying this result in the area formula, we have:

w*l = 126

w(2w + 4) = 126

2w² +4w = 126

2w + 4w - 126 = 0

Therefore, w = 7 m and l = 2*7 + 4 = 10 m

Then, the perimeter is given by:

p = 2*18 + 2*7 = 36 + 14 = 50 m

in the presence of changing variability, the estimated standard errors of the ols estimators are inappropriate. what does this imply about using standard testing?

Answers

The error term, which refers to the sum of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

What does OLS regression's error term mean?The error term, often referred to as the residual, disturbance, or remaining term, is denoted by the letters e,, or u in various ways in models.Use of an Error Term in a Formula : An error term basically denotes that the model is not entirely precise and yields varying outcomes when used in practical applications. Assume, for instance, that a multiple linear regression function has the following shape:

Y=αX+βρ+ϵ

where:

α,β=Constant parameters

X,ρ=Independent variables

ϵ=Error term

During an empirical test, if the actual Y is different from the expected or projected Y in the model, the error term does not equal 0, indicating that other factors affect Y.The OLS estimators will continue to be linear, impartial, and consistent in the presence of autocorrelation. However, because to the absence of a minimal variance, the estimators will no longer be BLUE. It implies that the predictions made using the OLS estimators will be ineffective if the error terms are autocorrelated.

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The gumball machine contains 9 red,7 white and 8 blue gumballs. find the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.

Answers

The person must buy 10 gumballs so that she gets 4 gumballs that are the same color.

Given, gumball machine contains 9 red gumballs

7 white gumballs and

8 blue gumballs.

we are asked to determine the least number of gumball a person must buy to be sure that she gets 4 gumballs that are the same color.

If a person gets three gumballs of each of the three colors, that is, 9 gumballs, then the 10th gumball must be the fourth one for one of the colors. Therefore, the person must buy 10 gumballs.

Hence 10 gumballs should be purchased.

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Given v = 60sinθ, what is the instantaneous voltage when θ = 30⁰?Question 11 options:6034.643051.96

Answers

Answer:

Explanations:

Given the expression for the instantaneous voltage expressed as:

[tex]v=60\sin \theta[/tex]

Given the following parameter:

θ = 30⁰

Substitute the given parameter into the formula to have:

[tex]\begin{gathered} v=60\sin 30^0 \\ v=60(0.5) \\ v=30 \end{gathered}[/tex]

Therefore the instantaneous voltage when θ = 30⁰ is 30.

Which graph represents data used in a linear regression that produces a correlation coefficient closest to -1?

Answers

What does the letter "L" stand for in the simulation?

Answer: d

Step-by-step explanation: ion know man but i looked it up and got it right

5x^2-25=100 solve by taking square root

Answers

Answer:

x=5,−5

Step-by-step explanation:

what is the distance between the two points in simplest radical form
(−2,−7) and (5,0)

Answers

The distance between the two points in simplest radical form(−2,−7) and (5,0) is 9.8995

What is the distance?

Distance can be described as the differences that exist between two points and this can be expressed i different form such as the radical form.

We can calculate the distance between the two points by firstly expressed them as :

(−2) - (5) = -7

(-7) - 0 = -7

Then the distance between them can be found as :

Distance = (-7)^2 + (-7)^2 = 49 +49 = 98

Then we will find the square root of the the figure as

= [tex]\sqrt{98}[/tex] = 9.8995

The formula can as well be used to find this by substituting the values of x and y into the formula as :

x1=-2

y1=-7

x2=5

y2=0

[tex]d = \sqrt{ ( x_{2} - x_{1} )^{2} + ( y_{2} - y_{1} )^{2}}[/tex]

then [tex]d = \sqrt{ ( 5 - (-2 )^{2} + ( 0 - (-7) )^{2}}[/tex]

= [tex]\sqrt{ 49^{2} + 49^{2} }[/tex]

= [tex]\sqrt{98}[/tex]

=9.8995

Answers

The number of soda bottles = 4

The number of sugar bottles = 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

Let the number of soda bottle = x

And, The number of sugar bottle = y

Since, Total number of bottles = 11

So, We can formulate;

⇒ x + y = 11 .... (i)

And, Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

So, We can formulate;

⇒ 45x + 15y = 285 ... (ii)

Multiply by 15 in equation (i) and subtract from (ii), we get;

⇒ 45x + 15y - 15x - 15y = 285 - 165

⇒ 30x = 120

Divide by 30;

⇒ x = 4

Hence, x + y = 11

4 + y = 11

y = 11 - 4

y = 7

So, The number of soda bottles = 4

The number of sugar bottles = 7.

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Find the slope of the line.
slope =
11
rise
run
5
11
40
30
20
10
O
2
4
6
8
G
G

Answers

to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{0}}} \implies \cfrac{ 20 }{ 5 } \implies \text{\LARGE 4}[/tex]

Using the information found in these tables which of the following statements is true

Please helpppp

Answers

The first one is correct because the age/grade is independent and screen time: games is dependent on the independent

Divide. Enter the correct answer.
17+2=

Answers

17 divided by 2= 8.5

find the value of x in each case

Answers

Answer:

x=23

Step-by-step explanation:

The amount of degrees in a triangle is 180 degrees.

line AC and line DF are straight angles meaning that the opposite angles are equal to each other. That means that angle FBC is also equal to x. Because line AC and EF are parallel we know that FBC and BFE are equal. Therefore, BFE is equal to x. The sum of the values of each angle of the triangle should add up to 180. 5x+65=180

5x=115

x=23

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?

Answers

The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

What is an equation?

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

Given that the Cost of the small greeting card = is $1.25 .

The Cost of the large greeting card =$4.50.

We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.

The Cost of 5 small greeting cards = 6.25

The Cost of 4 large greeting cards = 18

Then the Total cost = $6.25+ $18 =$24.25

Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.

Now, the total cost of x small and y large greeting cards will be;

Cost of x small greeting cards = 1.25x

Cost of y large greeting cards = 4.50y

Total cost = 1.25x + 4.50y

Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.

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What’s the answer plss I really need help

Answers

Answer:

The answer is d) 22.4

Step-by-step explanation:

I attached a file below if you want to see the process!

HELP! WILL GIVE BRAINLIEST

Answers

Answer:

second answer

Step-by-step explanation:

Second answer is the answer

Find the sum of the following infinite series.1/3−2/21+4/147−8/1029+···

Answers

Given:

The series is 1/3−2/21+4/147−8/1029+··

Explanation:

For the given series, the first term is,

[tex]a=\frac{1}{3}[/tex]

The common ratio is,

[tex]\begin{gathered} r=\frac{-\frac{2}{21}}{\frac{1}{3}} \\ =-\frac{2}{21}\cdot\frac{3}{1} \\ =-\frac{2}{7} \end{gathered}[/tex]

The formula for the sum of infinite series is,

[tex]S_{\infty}=\frac{a}{1-r}[/tex]

Substitute the values in the formula to determine the sum of infinite series.

[tex]\begin{gathered} S_{\infty}=\frac{\frac{1}{3}}{1-(-\frac{2}{7})} \\ =\frac{\frac{1}{3}}{\frac{9}{7}} \\ =\frac{1}{3}\times\frac{7}{9} \\ =\frac{7}{27} \end{gathered}[/tex]

Answer: 7/27

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.

We have given x = 2 and x = -2

Substitute the values in the given equations

Equation 1

x^2 - 4 = 0

Substitute x = 2 in LHS, we get

2^2-4 = 4 - 4 = 0 = RHS