BK has endpoints B(1,4) and K(4, -3). Rotate BK clockwise 270 degrees about the ongin. Part A: Write an algebraic description of the transformation of BK. Part B: What are the endpoints of the new line segmente

Your answer can't be simplified but it's also slightly incorrect. No worries!

You can simplify (64v^4 - 225w^10) by applying the difference of squares --> a^2 - b^2 = (a + b)(a - b)

Here, (64v^4) is a^2, and (225w^10) is b^2.

[tex]\sqrt{64v^4 }[/tex] = a = 8v^2

[tex]\sqrt{225w^{10} }[/tex] = b = 15w^5

Substitute the values:

(8v^2 + 15w^5)(8v^2 - 15w^5)

Therefore, the factorization of [tex]64x^{4} -225w^{10}[/tex] is:

[tex](8v^{2} + 15w^5)(8v^2-15w^5)[/tex]

The factorization is already the simplest. It can't be simplified further.

we know that

L=KW(h^2)/l

we have that

W=5 in

h=8 in

l=216 in

L=7670 pounds

step 1

Find the value of K (constant of proportionality)

substitute the given values in the equation

7670=K(5)(8^2)/216

7670=k(1.4815)

k=5,177.25

step 2

we have the equation

L=(5,177.25)W(h^2)/l

for

W=3 in

h=5 in

l=240 in

substitute in the equation and solve for L

L=(5,177.25)(3)(5^2)/240

L=1,617.89 pounds

Round your answer to the nearest integer

so

L=1,618 pounds

In order to know how much he budgeted annually for each expense, we need to multiply each month budget by 12:

annual budget for electricity: 12 * 315 = 3780

annual budget for gas: 12 * 238 = 2856

So, the total annual budget was:

3780 + 2856 = 6636

On the other hand, his real expenses for that year were:

3950 + 3055 = 7005

Then, to find how much less he budget than he needed, we can find the difference between those two values:

7005 - 6636 = 369

Therefore, the last option is correct.

To find the inverse of the matrix, first let's find the determinant:

Then, we'll find the Adjunct of the matrix:

EXPLANATION

We need to multiply the number of needed milligrams by the weight of the patient, but first turning the weight in lbs into kilograms,

Now, multiplying the obtained weight by the number of miligrams, give us the dose:

In conclusion, the nurse should give 2989 mg of the drug.

Based on the number of patients and the probability that a patient will recover from the disease, the mean 16 patients would be and the variance would be 1.79

The mean can be found by the formula:

= Number of patients in group x Probability that patient will recover

= 20 x 0.8

= 16 patients

The Variance is:

= Number of people x probability of recovery x (1 - probability of recover)

= 20 x 0.8 x (1 - 0.8)

= 3.2

So the standard deviation is:

= √3.2

= 1.79

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A negative linear relationship occurs when for increasing x values, the values of y are decreasing.

Observing the graphs, we can see a positive linear relationship for graphs A and C (x - increases, y - increases).

For Graph D, we can observe no correlation.

For graph B, we can observe a negative linear relationship (x - increases, y - decreases).

Answer: Graph B

To find:

Which theorem used to prove that both triangles are congruent.

Solution:

It is given that both triangles are right triangles. So, each one of the corresponding angles is 90 degrees.

angle M is given 73 degrees and angle V is given 73 degrees. So, we can see that two pairs of angles are equal in triangle.

Thus, AA similarity postulate can be use to prove that both triangles are congruent.

Thus, option C is correct.

To answer this question, we can take the coordinates (2, 4), and (3, 6) and substitute each of them in the given equation. Then, we can determine which of these ordered pairs is a solution of the equation 7x - 5 = 4y - 6. Then, we have:

1. Case: Ordered pair (2, 4):

This ordered pair is NOT a solution.

2. Case: Ordered pair (3, 6):

This ordered pair is NOT a solution.

Therefore, neither the ordered pair (2, 4) nor (3, 6) are solutions to the given equation (Option D).

The domain of a function is always represented by the values of X. In the ordered pair, they are always the first value of the pair.

The domain is the first number of each pair.

Domain: {-1, -10, 8, 6}.

Line Graph:

A line graph is used to show how the data points are changing with respect to time.

For Example:

A line graph may be used to show the average rainfall over the entire month.

For the given scenario we have,

X-axis = Time in minutes

Y-axis = Speed of car in km/min

Title of graph = Speed of Car Vs Time

Data points for time = 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

Data points for speed = 25, 30, 35, 40, 25, 55, 45, 60 50 35 40

This is how the line graph looks like.

It is showing the speed of the car in km/min over an interval of 60 minutes in steps of 5 minutes.n steps of

Procedure:

• Draw and label the x-axis and y-axis.

• Label the data points on both axis.

• Draw the data points.

• Join the data points with a line.

• We are done.

•

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m = slope

c = y intercept

The formula for finding slope is

m = (y2 - y1)/(x2 - x1)

y2 and y1 are the final and initial values of y

x2 and x1 are the final and initial values of x

From the given points ,

x1 = 8, y1 = 4

x2 = - 4, y2 = 9

m = (9 - 4)/(- 4 - 8) = 5/- 12 = - 5/12

Recall, if two lines are perpendicular, it means that the slope of one line is equal to the negative reciprocal of the slope of the other line. The negative reciprocal of - 5/12 is 12/5

Thus, the slope of the perpendicular to line FG is 12/5

Solution

- The question would like us to convert the number 4527 to scientific notation.

- In order to write a number to its scientific notation, we need to follow these steps:

1. Move the decimal place to the right of the first digit of the number. Make sure you count each step as you move the decimal point from right to left or left to right.

2. The number of steps corresponds to the exponent of 10 that multiplies the decimal form of the original number.

- We can apply these steps to solve the question given as follows:

- Thus, we have that the scientific notation of the number 4527 is

Final Answer

The scientific notation of the number 4527 is

There were 1200 respondents:

400 parents wanted soccer offered

370 parents wanted tennis offered

625 parents wanted baseball/softball offered

150 parents wanted soccer and tennis offered

315 parents wanted soccer and baseball/softball offered

230 parents wanted baseball/softball and tennis offered

75 parents wanted all three sports offered

Therefore:

We have to add all the options that were mixed with different sports:

150 + 315 + 230 = 695 - 75= 620 (We subtract 75 because it's already included in the other values as we can see in the diagram)

We have to add all the parents that chose only one sport:

400 + 370 + 625= 1395

We have to subtract 620 from 1395:

1395 - 620= 775 parents who chose any sport

Now:

1200 - 775 = 425 respondents who didn't want any.

Therefore, 425 parents didn't want any of the sports offered.

The answer is D) 425.

ANSWER

x(12 + 32)

EXPLANATION

Let x be 'the number'.

A number times... means 'a number multiplied by...'

The sum of 12 and 32 is (12 + 32)

The complete algebraic expression is x(12 + 32)

Answer

Number of possible outcomes for everything = 240 ways

Explanation

The number of possible outcomes can be calculated by taking each of these two groups.

First group contains 2 elements

Number of possible ways to pick the elements = 2! = 2 × 1 = 2 ways

Second group contains 5 elements

Number of possible ways to pick the elements = 5! = 5 × 4 × 3 × 2 × 1 = 120 ways

Number of possible outcomes for everything = 2! × 5! = 2 × 120 = 240 ways

Hope this Helps!!!

The pair of numerical values (x,y) that always satisfies the mathematical equation of linear equation y = mx is (0,0).  

A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on one another.

The slop-intercept form of a linear equation is y = mx + b.  

For y = mx, b = 0.  

If we put x = 0 in y = mx, y = 0.  

Therefore, y = mx line always passes through (0,0) for any value of m because (0,0) always satisfies the equation y = mx.  

Hence, (x,y) = (0,0).

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From the graph let's take the points as the ordered pairs:

(3, 3), (4, 5), and (5, 7)

Given the equation:

y = 2x - 3

Let's verify for all points, if the equation matches the graph:

a) (x, y) ==> (3, 3)

Substitute 3 for x and 3 for y in the equation

y = 2x - 3

3 = 3(3) - 3

3 = 6 - 3

3 = 3

b) (x, y) ==> (4, 5)

Substitute 4 for x and 5 for y:

y = 2x - 3

5 = 2(4) - 3

5 = 8 - 3

5 = 5

c) (x, y) ==> (5, 7)

Substitute 5 for x and 7 for y:

y = 2x - 3

7 = 5(2) - 3

7 = 10 - 3

7 = 7

Since the left side equals the right side of the equation, the equation

y=2x-3 matches the graph.

Therefore, Jayla is correct.

Given

AD = 6.4

BD = 3.6

Find

AC,BC and DC

Explanation

Using Pythogoras theorem in triangle ADC

Using PT in triangle BDC

Adding equation (1) and (2)

Using PT in triangle ABC

Equating above 2 equations

Putting this value of DC in equation (2)

Final Answer

AC = 8

BC = 6

DC = 4.8

The domain of a function is all values of x the function can have.

Since this function has radicals, and the value inside a radical needs to be positive or zero, and also the denominator of a fraction can't be zero, we have the following conditions:

Since the first condition contains the second, so the domain set is represented by the second condition:

approximatesThe equation of a line is given by

Taking two points from the line of best fit

Point A(14,200) and Point B (18,400)

Hence, the equation that best approximate the trend line is y=50x-500

Elijah's elevation when Elijah is snorkeling above a shipwreck is -14.

Elevation simply has to do with the height above sea level.

In this case, Elijah is snorkeling above a shipwreck and the ship has an elevation of -105 feet. Elijah is snorkeling at 2/15 of the ship's elevation.

Elijah's elevation will be:

= Fraction of his snorkeling × Ship's elevation

= 2/15 × (-105)

= -14

This shows the elevation of Elijah.

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Trigonometric Ratios

The figure is a triangle with hypotenuse of h = 25 feet. The angle of elevation is 35°.

Looking at the graph, we will the following:

The portion ab is increasing

The portion bc is decreasing

The portion cd is decreasing

The portion de is increasing

The portion ef is increasing

The portion fg is decreasing

The portion beyond g is increasing

In the interval x = y to x = ∞, we will observe that the graph is positive & increasing

Hence, the first option is correct (it is positive and increasing)

EXPLANATION:

Given;

Consider the number below;

Required;

We are required to determine if the number is rational or irrational.

Solution;

A number can be split into the whole and the decimal. The decimal part of it can be a recurring decimal or terminating decimal. A recurring decimal has its decimal digits continuing into infinity, whereas a terminating decimal has a specified number of decimal digits.

The decimal digits for this number can be expressed in fraction as;

In other words, the number can also be expressed as;

Therefore,

ANSWER: This is a RATIONAL number

Answer:

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

Step-by-step explanation:

y=mx+b

m is the slope of the line, which you find by counting the rise over run between two points. In this case its up one, and right two, or [tex]\frac{1}{2}[/tex].

b is the y intercept, or where the line crosses the y axis

Answer:

2

Step-by-step explanation:

log ab = log a + log b

Similarly,

log 10x² = log 10 + log x²

log a^b = b log a

Similarly,

log 10x² = 2 log x

= 2 * 1/2

= 2/2

= 1

Note :-

The value of log 10 = 1

Hence,

log 10x²

= log 10 + log x²

= 1 + 1

= 2

Student asking the same question for third time in less than ten minutes. Can't help him or her out with additional information to complete the exercise.

Closing the session!

Answer;

Explanation;

Here, we want to get a number

Since the number is not known at the moment, we can start by identifying the number with an a;phabet

Let us call this n

If 1 is added to the number

mathematical representation;

And the sum is tripled;

The result is 5 more than the number

5 more than the number is simply;

So, we equate this to what we had initially as follows;

We can now solve this equation for n