Given the triangles below, determine if they are similar. *
2 points
H
S
32
48
M
30
44
e
O Yes, A MHT ~ AQSW
O Yes, A MHT ~ AQWS
No, they're sides are not congruent
O No, they're sides are not proportional

The three true statements are: the center of the circle is (1, 0), the radius of the circle is 3 and  the circle intersects the x-axis at (4, 0) and (–2, 0).

What is a circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To analyze the given circle, we first need to rewrite the equation in standard form by completing the square:

x2 + y2 – 2x – 8 = 0

x2 – 2x + y2 – 8 = 0

(x – 1)2 + y2 = 9

Now we can see that the center of the circle is (1, 0) and the radius is 3. With this information, we can determine which statements are true:

The center of the circle is (1, 0).

True. As mentioned above, we can identify the center of the circle from the equation in standard form.

The radius of the circle is 2.

False. The radius of the circle is 3, as determined from the equation in standard form.

The circle intersects the x-axis at (–3, 0) and (5, 0).

False. To find where the circle intersects the x-axis, we can set y = 0 in the equation in standard form:

(x – 1)2 + y2 = 9

(x – 1)2 + 0 = 9

(x – 1)2 = 9

x – 1 = ±3

x = 4 or x = –2

Therefore, the circle intersects the x-axis at (4, 0) and (–2, 0), not (–3, 0) and (5, 0).

The circle is tangent to the y-axis.

False. To determine if the circle is tangent to the y-axis, we can check if the distance between the center of the circle and the y-axis is equal to the radius:

distance from (1,0) to y-axis = 1

radius of circle = 3

Since the distance is not equal to the radius, the circle is not tangent to the y-axis.

Therefore, the three true statements are:

The center of the circle is (1, 0).

The radius of the circle is 3.

The circle intersects the x-axis at (4, 0) and (–2, 0).

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An approximate solution to the equation f(x) = g(x) to the nearest quarter of a unit is; A: 2.5

We are given;

f(x) = ¹/₄x³ + 2x - 1

g(x) = [5^(x - 1)] - 3

Thus;

f(x) = g(x) gives;

¹/₄x³ + 2x - 1 = [5^(x - 1)] - 3

At x = 2, we have;

LHS = 5

RHS = 2

At x = 2.5, we have;

LHS = 7.90625

RHS = 8.180

The answer to the two sides are close and so we can adopt that.

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Answer:

The price per square foot is $468.75

Step-by-step explanation:

You would take the price and divide it by the square footage.

540,000

-------------    =    468.75

  960

Answer:

(Excluding Xion) Each person will get 2 1/4 brownies

Step-by-step explanation:

9 brownies distributed equally to 4 friends.  If each person gets two brownies, there is one left over.  Divide 1 by 4 and you get 1/4.  1/4 in decimal form is 0.25.  2+0.25=2.25

Or you could just use a calculator to divide 9 by 4 and it would come up with 2.25

Answer:

i believe it is c:50 if you add pi to the radius and of 8

Step-by-step explanation:

Answer:

C) 50 inches

Step-by-step explanation:

C = 2(3.14) x r

C = 6.28 x r

C = 6.28 x 8

C = 50.24

50.24 ≅ 50

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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The monthly salary of an executive is $6483.

What is monthly salary?

A salary is the amount of money that an employee receives from their employer each month, particularly when they work in a profession like education, law, or medical.

Given: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of 5700 dollars. She earns a total of 83500 dollars per year.

To find the salary for each month.

First to subtract the Christmas bonus from the total amount.

83500 - 5700 = 77800.

So, the salary from each month is,  77800/12 = 6483

Therefore, the salary for each month is, $6483.

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Answer:

Distributive property

Using binomial probability, the probability of having exactly 4 dice on 4, 5 or 6 is 5/32.

Using binomial probability, we can calculate the probability that out of the 5 dice thrown, the probability of having exactly 4 dice on 4, 5 or 6 can be calculated as;

\(P(X=k) = C(n, k) * p^k * (1-p)^(^n^-^k^)\)

In the given data;

n = 5

k = 4

p = 3/6 = 1/2

Using the binomial probability formula, we can calculate:

P(X=4) = C(5, 4) * (1/2)⁴ * (1 - 1/2)⁵⁻⁴

P(X=4) = 5 * (1/2)⁴ * (1/2)¹

P(X=4) = 5 * (1/16) * (1/2)

P(X=4) = 5/32

Therefore, the probability that exactly 4 dice land on a 4, 5, or 6 when rolling five fair dice is 5/32.

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5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)

Answer:

1. 3-D Shapes
2. To find the area of all 2-D Shapes that make up the 3-D shape who's surface area we are trying to find
3. 160ft^2
4. 213.53cm^2
5. 239.3in^2
6.490.87km^2
7.75.4cm^2
8.1724.9mi^2

Step-by-step explanation:

In question 1 surface area means the final surface area of all 2-d shapes on a 3-D shape, so it is 3-D Shapes

In question 2,  it is simply the last questions explanation as an answer

All the questions up to question 8 are explained in the attached

I can help you with that problem i just did that on my own.

Answer:

10¬R

Step-by-step explanation:

PS = log10 R

exponential form for the inverse of the function will be,

10¬R

where ¬ stands for raise to the power of

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

he can buy 4 sheets of paper to print 16 pages

he will have 0.10 cents left

Step-by-step explanation:

With each piece of paper, he can print 4 pages

He has a full dollar

1/0.25 = 4

he can print 4 pages because the last 10 cents will not be enough to print another page

4 * 4 = 16

He will not be able to print all the pages

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Option C. 6,160 yards. To convert miles to yards, we multiply the number of miles by 1,760 (which is the number of yards in one mile). So, 3.5 miles x 1,760 yards/mile = 6,160 yards.

To convert miles to yards, we need to know that there are 1,760 yards in one mile. Therefore, to find out how many yards are in three and one-half miles, we need to multiply 1,760 by 3.5:

1,760 x 3.5 = 6,160

Therefore, there are 6,160 yards in three and one-half miles.

The other options provided are:

4,400 yards: This is equivalent to 2.5 miles, since 1 mile is 1,760 yards. Therefore, this is not the correct answer.

5,280 yards: This is equivalent to 3 miles, since 1 mile is 1,760 yards. Therefore, this is also not the correct answer.

7,040 yards: This is equivalent to 4 miles, since 1 mile is 1,760 yards. Therefore, this is not the correct answer.

So, the correct answer is 6,160 yards, which is the result of multiplying 1,760 yards by 3.5 miles.

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The correct answer is the unique solution is x1=−153 and x2=−3. so the option A is correct.

The augmented matrix of the given system of equations is: \($$\begin{bmatrix}-8 & 4 &|& 6 \\ 6 & -3 &|& -9\end{bmatrix}$$\)

Using the Gaussian elimination, the augmented matrix can be reduced into echelon form as follows:

\($$\begin{bmatrix}-8 & 4 &|& 6 \\ 6 & -3 &|& -9\end{bmatrix} \xrightarrow[R_2 \rightarrow R_2+\frac{4}{3}R_1]{{R_1\rightarrow -\frac{1}{8}R_1}} \begin{bmatrix}1 & -\frac{1}{2} &|& -\frac{3}{4} \\ 0 & 1 &|& -3\end{bmatrix} \xrightarrow[R_1 \rightarrow R_1 + \frac{1}{2}R_2]{{}} \begin{bmatrix}1 & 0 &|& -\frac{15}{4} \\ 0 & 1 &|& -3\end{bmatrix}$$\)

Therefore, the solution of the system of equations is given by: \($$x_1=-\frac{15}{4},\ \ x_2=-3$$\)

Therefore, the unique solution is:\($$x_1=-\frac{15}{4},\ \ x_2=-3$$\)

Thus, the correct choice is A.

The unique solution is x1=−153 and x2=−3.

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Answer:

You can find slope of line using the slope formula. The slope formula is Y2-Y1/X2-X1. Substitute in the points and solve.

6-2/6-5

4/1

4

The slope of the line is 4.

Hope this helps! :)

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

stop

Step-by-step explanation:

You relize this is for homework help right?

     Well, for your information cousin. I don't either. You know I don't like or know anything about Marvel and X-Men. I was just asking who they were before they got drawn into different characters. You should've have known that.

Well, the characters are:

1. Nancy Wheeler

2. Jonathan Byers

3. Robin Buckley

4. Steve Harrington

5. Max Mayfield

                                                                                      Your Favorite Cousin,

                                                                                                                            Lyra

6 students can be seated in a row of 6 chairs in 121 ways.

Given,

Number of students = 6

Number of chairs = 6

We have to find the number of ways the students can be seated in a row.

Here,

Jack insists on sitting in the first chair.

So, 1 way of sitting for jack.

Next,

5 students and 5 chairs are there.

So they can sit in;

5! = 120 ways

Therefore,

Total number of way of sitting is 120 + 1 = 121 ways.

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Answer:

it depends upon the distance up to which distance he should suppose÷24 km

Answer:

o to 2 seconds 2 to 4 seconds

The following picture represents an explanation to the given question:

CD represents the beacon

We need to find the distance AB

The measure of the angle C = 90

At the triangle BCD,

The measure of the angle CDB = 90 - 21 = 69

Using the sine law, we will find the length of BD

So,

At the triangle ABC

The measure of the angle CDA = 90 - 10 = 80

So, the measure of the angle ADB = angle CDA - angle CDB = 80 - 69 = 11

At the triangle ADB, using sin law:

substitute with the value of BD and CD s

So,

Rounding the answer to the nearest foot

So, the answer will be AB = 346 ft

Answer:

21 316/729

Key rules to solve:

Step-by-step explanation:

\(\left(\frac{2-1}{2\cdot \:7\frac{1}{3}}\right)^6\)

\(=\left(\frac{2-1}{2\cdot \frac{22}{3}}\right)^6\)

\(=\frac{\left(2-1\right)^6}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\left(2\cdot \frac{22}{3}\right)^6}\)

\(=\frac{1}{\frac{7256313856}{729}}\)

\(\rightarrow 21 \frac{316}{729}\)

Answer: You are correct. The answer is C) 7

This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.

The amount shared among the four brothers is 1200. Let the brothers be a, b, c and d. If the eldest is a, then it means a got 100 more than b. This means a got b + 100. Also, b got c + 100, and c got d + 100 and d got d. Therefore;

Answer:

4 years old

Step-by-step explanation:

3x = x + 8

2x = 8

x = 4

Answer:

4 y/o

Step-by-step explanation:

x = age now

  add 8 years

x+8    and this equals   3 times as old as he is now, or  3x

x+8 = 3x       subtract 'x' from both sides

8 = 2x           divide both sides by 2

x = 4 y/o