rotation 90 degrees about the origin F(2,-2), E(3,0), D(5,-5) [PLEASE I NEED HELP FAST]

Answer:

length = 14 feet

width = 6 feet

Step-by-step explanation:

A = 84 feet square

ratio of length and width = 7 : 3

total ratio of length and width 10 = a

length = (7/10)a

width = (3/10)a

A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84

a² = 84 x 100 : 21 = 400

a = 20 feet

length = 7/10 x 20 = 14 feet

width = 3/10 x 20 = 6 feet

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

621,345

Step-by-step explanation:

Easy Here you goo

Answer:

16 inches

Step-by-step explanation:

What we know:

The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.

We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)

x = 4(12)/3

x = 48/3

x = 16

The predicted diameter will be 16 inches.

(Just put 16 in the blank.)

Answer:

The slope is:

\( \binom{1}{2} \)

In slope-intercept form the equation is:

\(y = \binom{1}{2} x - 3\)

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

6

Step-by-step explanation:

\(12 \times 1 \frac{1}{2} \)

\(12 \times \frac{1}{2} \)

\( = 6\)

Answer:

81.5%

Step-by-step explanation:

Answer:

81.5% is right

ED2021

Explanation

An absolute maximum point is a point where the function obtains its greatest possible value.

Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Step 1

check the graph of g:

The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function

so, for G

Step 2

Now, for h

I hope this helps you

Answer:

The value is \(t_{\frac{\alpha }{2} , 21 } =  2.518\)

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  22

Generally the degree of freedom is mathematically represented as

       \(df = n- 1\)

=>    \(df = 22- 1\)

=>    \(df = 21\)

From the question we are told the confidence level is  98% , hence the level of significance is    

      \(\alpha = (100 - 98 ) \%\)

=>   \(\alpha = 0.02\)

Generally from the t distribution table the critical value  of  \(\frac{\alpha }{2}\)  at a degree of freedom of \(df = 21\)  is  

   \(t_{\frac{\alpha }{2} , 21 } =  2.518\)

The area of triangle YCX is given as follows:

G. 2 units squared.

The area of square WXYZ is 16, hence the side length is given as follows:

s² = 16

s = 4.

Considering the midpoints, we have that the sides of the right triangle are given as follows:

YC = CX = 4/2 = 2

Hence the area of the triangle is given as follows:

0.5 x 2 x 2 = 2 units squared.

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Answer:

10 m/s

Step-by-step explanation:

Unit stands for one so

120 meters in 12 seconds in 10 meters a sec

Answer:

114.29

Step-by-step explanation:

Answer:

I think it may be B (d-$5 )

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

The equivalent expression to 0 equals 2 x squared plus 8 x minus 24 when completing the square is x = 2 or x = -6

0 = 2x² + 8x - 24

divide through by 2

x² + 4x - 12

x² + 4x = 12

x² + 4x + (4/2)² = 12 + (4/2)²

x² + 4x + 16/4 = 12 + 16/4

x² + 4x + 4 = 12 + 4

x² + 4x + 4 = 16

(x + 2)² = 16

Find the square root of both sides

(x + 2) = ±√16

x + 2 = ± 4

x + 2 = + 4 or x + 2 = -4

x = 4 - 2 or x = -4 - 2

x = 2 or x = -6

Therefore, x = 2 or x = -6 is equivalent to 0 = 2x² + 8x - 24 when solved using completing the square method.

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Answer:

330 Minutes

Step-by-step explanation:

A->B is 3 hours

1 hour=60 minutes

3 hours=180 minutes

B->C is 2 1/2 hours

2 hours=120 minutes

1/2 hour=30 minutes

180+120+30=330 minutes

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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Answer:

3.33 repeated

Step-by-step explanation:

Since we know that 12 copies are $40, we can set up an equation which would look like this.... 40/12=1/x in order to find the unknown, let's call that x, we have to divide both the 40 AND the 12 by 12, the reason we are diving by 12 and not 40 is because we need to identify the cost per copy.

So the overall answer would be 3.33 dollars/1 copy in other words $3.33 per one copy.

Answer:

Step-by-step explanation:

7x6=42

Answer: 42

Step-by-step explanation:

In blank box - 7

6*7

=42

Answer:

22,2

Step-by-step explanation:

average also known as mean

so you find it by adding all the numbers together and dividing them by how many there are

so 21,8 + 24,2 + 20.6 = 66,6 divided by 3 equals 22,2