Question 4 of 5
Quadrilateral ABCD is reflected across the x-axis. What are the coordinates
of quadrilateral ABCD?
ADLY
01/2)
ch
A. A (5,5), B (5, 1), C(2, 1), D' (1,5)
B. A' (5-5), 8 (1.-5), C'(1, -2).
D'(5-1)
C. A'(-5-5), 8'(-1,-5), C (-1.-2)
D'(-5-1)
OD. A (5,5), B'(1,5), C' (1,2), D'(5, 1)

Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.

Answer:

Slope = 1, y-intercept = (0,7)

Step-by-step explanation:

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer: -8n + 12

Step-by-step explanation: Well we know the word "sum" is a keyword that tells us to use addition so right off the bat, we can eliminate any options that have a subtraction sign.

"The sum of 12 and the product of -8 and n" means

we are multiplying -8 by n since "product" means multiplication.

Then we just have to add 12 to that.

So we get -8n + 12

Answer:

Most likely 50 Thousand years

Answer:

D. 50-60 million years ago

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

The image of the points are X'(3, 0), Y'(-4, -1), Z'(2, -5)

From the question, we have the following parameters that can be used in our computation:

(90°, 0) (AXYZ) for X(0, 3), Y(1, -4), Z(5, 2)

This means that we rotate the points clockwise by 90 degrees

This is represented as

(x, y) = (y, -x)

Substitute the known values in the above transformation rule, so, we have the following representation

X'(3, 0), Y'(-4, -1), Z'(2, -5)

So, the image are X'(3, 0), Y'(-4, -1), Z'(2, -5)

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Answer:

$23.80

Step-by-step explanation:

To get how many gallons we need to fill the tank we need to subtract the actual gas from the 12-gallon tank.

12-5.2=6.8

So, Irene's car needs 6.8 more gallons to fill the tank.

To estimate the cost of the gas we need to multiply the price per gallon by the gallons the car needs to fill the tank.

3.50x6.8=23.8 or $23.80

Hence, Irene spent $23.80 to fill the gas tank.

Answer:

the answer is 19.2

Answer:

The value of y = 19.2.

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Total: 48

DIning Hall: 48(3/8)=18

so theres 30 left for the classes

30/5(#of classes)=6 per class

Answer:

hirap naman yan basahin mo kasi directions

Answer:

A. 2.10b + 12.99 = 21.39; 4 bottles

Step-by-step explanation:

The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.

Answer:

y-5=3/4(x-6)

Step-by-step explanation:

The picture you posted is a bit unclear and difficult to look at, but that's alright.

This is a simple question if you understand that the point slope for equation is: y-y1 = m(x-x1).

m is the slope and (x1,y1) is a point on the graph.

So, if you input the point (6,5) on the graph, it works.

You can double check with the other equations to see that they are all wrong!

Answer: The y-intercept is 5

Step-by-step explanation:

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Sara and Ashton both have the same number of comic books after 10 months

From the question, we have the following parameters that can be used in our computation:

Sara

Initial = 12 comic books

Books at the fourth month = 20

Ashton

Initial = 2 comic books

Books each month = 3

The equations can be represented as

Total number of books = Initial + Books each month * Number of months

Rewrite as

y = Initial + Books each month * x

For Ashton, the equation is

y = 2 + 3x

For Sara, we have

y = 12 + Books each month * Number of months

So, we have

20 = 12 + Books each month * 4

This gives

Books each month = 2

So, the equation is

y = 12 + 2x

Substitute y = 2 + 3x in y = 12 + 2x

2 + 3x = 12 + 2x

Evaluate the like terms

x = 10

This means that

Number of months = 10

Hence, the number of months is 10

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Complete question

Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.

Calculate when they both have the same number of books

Part 1:

The principal is given $5000. The rate of interest is 4%. The interest is compounded monthly.

The formula of the amount after t years at a rate of r is given below:

The amount after 10 years on the principal $5000, at a rate of 0.04 is calculated below:

The amount in the bank after 10 years is $7453.866.

Part 2:

The formula of the amount after t years when the interest is compounding continuously is given below:

The amount after 2 years in the bank is calculated below:

The amount after 2 years in the bank is $5416.4.

Answer:

m = 48

Step-by-step explanation:

multiply by 8, to get rid of fraction:

6*8 = m

48 = m

m = 48

Answer:

M = 48

Step-by-step explanation:

6 * 8 = 48

48 = M

Answer:

5*5*173=4325

Step-by-step explanation:

please mark brainiest hope it works out for you

Answer:

5²×173

Step-by-step explanation:

4325 as a product of its prime factors

5²×173

f EB = 6.2, CD = 3.3, and ED= 6.2, then the value of B is 6.6.

An isosceles triangle is a type of triangle with two sides of equal  length. Two opposite angles of an isosceles triangle with equal sides are equal in size. In geometry, a triangle is a three-sided polygon that is classified into three categories based on its sides, for example:

Properties of an isosceles triangle

Therefore,

EB = 6.2

ED = 6.2

So EB=ED

ΔEBD is  isosceles triangle and ∠BCE is right angle

so C is middle point of BD

Hence, BD = 2CD

                  = 2X 3.3

                  = 6.6

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Answer:

0.851

Step-by-step explanation:

Answer: Divide both parts of equation by 25. The answer is 92%

Step-by-step explanation:

answer: e - 8 = 17  

explanation:

The composite function is positive at the interval (-7, ∝)

From the question, we have the following parameters that can be used in our computation:

The table of values of the function f(x)

Also, we have

The table of values of the function g(x)

The composite function (f - g)(x) is calculated as

(f - g)(x) = f(x) - g(x)

From the table of values, we have the following values

(f - g)(-10) = f(-10) - g(-10) = -3 - 9 = -12 --- negative

(f - g)(-7) = f(-7) - g(-7) = 6 - 6 = 0 --- zero

Also, we have

(f - g)(-4) = f(-4) - g(-4) = 15 - 3 = 12 --- positive

This means that the interval is (-7, ∝)

Hence, the composite function (f - g)(x) is positive at the interval (-7, ∝)

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hope it helps...!!!!

The probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

Now, In probability theory, "AND" means multiplication and "OR" means "addition".

Hence, We can find the 2 probabilities separately and multiply them (as there is "AND")

So, Probability for number rolled greater than 2 = number of numbers that are greater than 2/total number of numbers

Since, There are 4 numbers greater than 2 in a die (3, 4, 5, 6) and total 6 numbers, so

P(number greater than 2) = 4/6 = 2/3

Now, Probability that heads come up in coin toss = 1/2 (there are 1 tail and 1 head in a coin)

Hence,

P(number greater than 2 and heads in coin) = 2/3 × 1/2 = 1/3

Thus, the probability that the number rolled is greater than 2 and the coin toss is heads is,

⇒  1/ 3

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