Are the two triangles similar?

A) Yes
B) No

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

What is the vertex

Its vertex is at (36, -10)

Let us assume that the left edge of the cable is at the origin.

Since the cable is at its lowest height 10 feet halfway between the two supports, the y-coordinate of its lowest point is -10 ft and the x coordinate is 72 ft/2 = 36 ft.

So, its vertex is at (36, -10)

Axis of symmetry

The y-axis.

Since the cable is symmetric about its lowest point, the axis of symmetry is the y-axis.

Domain

The domain is (0, 72).

Since the minimum value of its x-coordinate is at the origin which is x = 0 and the maximum value is at the other support which is at x = 72 ft,

the domain is (0, 72).

Range

The range is (0, -10)

Since the minimum value of the y-coordinate is -10ft and the maximum value is at the origin y = 0,

the range is (0, -10)

x and y-intercepts

The x-intercept is (0, 72) and the y-intercept is (0, 0)

Since the cable is attached at the origin and at 72 feet away  from the origin at the other support, the x-intercept is 0 and 72 ft and the y-intercepts are 0 and 0.

So, the x-intercept is (0, 72) and the y-intercept is (0, 0)

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Answer:

ok

Step-by-step explanation:

wheres the rest

To graph the line, you need to know at least two points of it.

Knowing its slope and one point you can determine the equation of the line by using the point-slope form:

Where

m is the slope of the line

(x₁,y₁) are the coordinates of one point of the line

For m=-2 and (x₁,y₁)=(3,5) the equation of the line is:

Next, replace the equation for any value of x and solve for y, for example, use x=2

-Solve the difference within the parentheses then the multiplication

-Add 5 to both sides of the equation

The coordinates for the second point are (2,7)

Plot both points and link them with a line

Answer:

I cant graph it for you but i can tell u the answer! i just saw that it has the full explanation better than mine!

Step-by-step explanation

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The area of a triangle with side lengths 17, 18, and 19 in simplest radical form is 18√7770

The area of the triangle is calculated using the formula

Area of triangle = √[s(s – a)(s – b)(s – c)]

s = perimeter o the triangle

a, b and c are the lengths of the triangle

s = a + b + c = 17 + 18 + 19 = 54

Area of triangle = √[54 * (54 – 17)(54 – 18)(54 – 19)]

Area of triangle = √[2517480]

Area of triangle = 18√7770

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Answer:

71. 19  72. 100  73. 9  74.1  75. 90  76. 4

Step-by-step explanation:

#71.

Start with 2b-a

Plug in the given numbers where the variables are.

Now the equation is 2(12) - 5

Solve 2(12) - 5

2(12) = 24      24 - 5 = 19

#72.

Start with d(ab-c)

Plug in the given numbers where the variables are.

Now the equation is 2((5×12) - 10)

Solve in the parenthesis first.

5×12= 60    60-10=50    2(50)= 100

#73.

Start with 3+ \(\frac{b}{d}\)

Plug in the given numbers where the variables are.

Now the equation is 3+ \(\frac{12}{2}\)

Solve.

\(\frac{12}{2}\) = 6    3+6 = 9

#74.

Start with \(\frac{4a}{b+4d}\)

Plug in the given numbers where the variables are.

Now the equation is \(\frac{4(5)}{12+(4x2)}\)

Solve.

4(5)= 20    

(4×2)= 8    12+8= 20

Now the fraction is  \(\frac{20}{20}\) = 1

#75.

Start with 2a² - c

Plug in the given numbers where the variables are.

Now the equation is 2(5)² - 10

Solve 2(5) = 10      10² = 100  100-10= 90

#76.

Start with b - c + d

Plug in the given numbers where the variables are.

Now the equation is 12 - 10 + 2

Solve.

12 - 10 = 2     2 + 2 = 4

Answer:

as the x values go to negative infinity, the function's values are equal to zero.

Answer: 5 small bags and 3 large bags

Step-by-step explanation:  5+5+5+5+5=25    7+7+7=21    21+25=46

Answer:

B: 1658 m2

Step-by-step explanation:

trust me im right

Check the picture below.

Bearing in mind that the angle is not changing all the wihle, namely is constant

\(tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}\)

Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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\(\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}\)

Absolute value of a graph formula:

Identify the vertex : (h, k) = (6, -7)

Take two points: (6, -7), (9, -5)

 \(\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}\)

Join them to build the equation:   \(\bf{y = \dfrac{2}{3} |x - 6| - 7}\)

Answer:

\(g(x)=\dfrac{2}{3}|x-6|-7\)

Step-by-step explanation:

Translations

For \(a > 0\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}\)

\(y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a\)

-----------------------------------------------------------------------------------------

Parent function:  \(f(x)=|x|\)

\(f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}\)  

From inspection of the graph, the vertex of the transformed function is at (6, -7).  Therefore, there has been a translation of:

\(\textsf{6 units right}\implies f(x-6) =|x-6|\)

\(\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7\)

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

\(\implies a\:f(x-6)-7=a|x-6|-7\)

The line goes through point (0, -3)

Substituting this point into the above equation to find \(a\):

\(\implies a|0-6|-7=-3\)

\(\implies 6a=4\)

\(\implies a=\dfrac{2}{3}\)

Therefore,

\(\implies g(x)=\dfrac{2}{3}|x-6|-7\)

Given the followin Quadratic equation:

You need to follow these steps in order to solve it by factoring:

1- Subtract 2x from both sides of the equation:

2. Add 7 to both sides of the equation:

Now the equation has this form:

3. You can notice that the leading coefficient is:

Then, multiply and divide the trinomial by 5:

4. Now let's factor it:

Find two numbers whose sum is -2 and whose product is -15. These would be 3 and -5. Then:

5. Simplify and find the solutions:

The answer is:

Answer:

114 for #1.      1.6 for #2.    $3600 for #3.    2 11/12 for #4.

Step-by-step explanation:

ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

y - 5 = -2(x + 3)

Step-by-step explanation:

When you write an equation in point-slope form, you only need two things: a point and a slope.

Given:

point: (-3, 5)

slope (m): -2

The standard point-slope equation is

y - y₁ = m(x - x₁)

Plug in what you know.

y - (5) = -2(x - (-3))

Simplify.

y - 5 = -2(x + 3)

This is your equation.

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Answer:

Slope = -1

Step-by-step explanation:

I have assigned 7,3 as x2 and y2

and the other coordinates as x1 and y1

Then,

Use the slope formula

9 - 3 / 1 - 7

This would result in -1

Answer:The distribution of favorite color is the same for each eye-color group.

Step-by-step explanation: A EDGE22

Answer:

A= 360 and B=2 .

Step-by-step explanation:

because the deniminator (bottom) is 4 you have to simplify it down to 2, because that's the lowest you can go. 720/2 is 360 (2 is the lowest that it can go) and 4/2 is 2

Answer:

  17 bars

Step-by-step explanation:

Peter wants to compute the maximum number of bars he can load safely if the load limit of 1200 kg and the bar weight of 60 kg are each rounded to the number of significant digits those numbers have.

The error in a rounded number is assumed to be as much as half of the least significant digit of the number.

Peter's load limit may actually be as low as ...

  1200 kg - (1/2)(100 kg) = 1150 kg . . . . . . . 1200 is rounded to nearest 100

Peter's bar weight might be as high as ...

  60 kg + (1/2)(10 kg) = 65 kg . . . . . . . . . . . 60 is rounded to nearest 10

If Peter has maximum-weight bars and does not want to exceed the minimum his load limit might be, the number of bars he can load is ...

  (1150 kg) / (65 kg/bar) ≈ 17.7 bars

The greatest number of bars Peter can load safely is 17.

Answer:

Step-by-step explanationuuh soo I don’t understand this app:

The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.

Given that,

36 local middle school kids were chosen at random to take part in a taste test to choose a new menu item for a cafeteria. The Cajun potato barrels or the macaroni and cheese were the options offered to each pupil. 20 pupils chose the macaroni and cheese from the sampling, while 16 selected the Cajun potato barrels. On a scale from 1 (very dislike) to 9 (very much like), each student was asked to rank the object they selected (extremely like).

We have to find which of the following keeps this study from being an experiment with a sound design.

Each student was given the option of choosing either the macaroni and cheese or the Cajun potato barrels. Because the students' treatments were not distributed at random, those who preferred their cuisine chose it and gave it high marks. As a result, the study has selection bias.

Therefore, The treatments (new menu item) were not randomly assigned to the students when 36 local middle school kids were chosen at random to take part.

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