The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair negative 2, 3, and the point B is on ordered pair 3, 3. If the area of the rectangle to be drawn is 30 square units, where should points C and D be located, if they lie vertically below A and B, to make this rectangle?

Step-by-step explanation:

[tex] {30.5}^{2} = {x}^{2} + {19.1}^{2} \\ 930.25 = {x}^{2} + 364.81 \\ {x}^{2} = 930.25 - 364.81 \\ {x}^{2} = 565.44 \\ x = \sqrt{565.44} \\ \\ x = 23.78[/tex]

Answer:

-3x + 4

Step-by-step explanation:

14:56 in simplest form is 1:4.

answer: the first 1 is y=3x+1  the second 1 is y=-x-3 ⤵

Answer:

the last one is correc5

Step-by-step explanation:

this is because x^2 times x equals x^3

then you do x^2 times 11 which is 11x^2

then -3 times x which is -3x

then -3 times 11 which is -33

Answer:

D: x2(x + 11) – 3(x + 11)

Step-by-step explanation:

EDGE 2021

Given:

The data set is 60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74.

To find:

The IQR and outliers.

Solution:

The given data set is

60, 74, 70, 70, 50, 62, 54, 89, 67, 88, 82, 74

Arrange the data values in ascending order.

50, 54, 60, 62, 67, 70, 70, 74, 74, 82, 88, 89

Divide the data set in two equal parts.

(50, 54, 60, 62, 67, 70), (70, 74, 74, 82, 88, 89)

Divide each parentheses in two equal parts.

(50, 54, 60), (62, 67, 70), (70, 74, 74), (82, 88, 89)

Now,

[tex]Q_1=\dfrac{60+62}{2}[/tex]

[tex]Q_1=\dfrac{122}{2}[/tex]

[tex]Q_1=61[/tex]

And,

[tex]Q_3=\dfrac{74+82}{2}[/tex]

[tex]Q_3=\dfrac{156}{2}[/tex]

[tex]Q_3=78[/tex]

We know that, the inter quartile range is

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=78-61[/tex]

[tex]IQR=17[/tex]

The IQR is 17.

If the data values lie outside the interval [tex][Q_1-1.5IQR,Q_3+1.5IQR][/tex], then those values are known as outliers.

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[61-1.5(17),78+1.5(17)][/tex]

[tex][Q_1-1.5IQR,Q_3+1.5IQR]=[35.5,103.5][/tex]

All data values lie in the interval [35.5,103.5]. So, there are no outliers.

Therefore, the correct option is B.

Answer:

82°

Step-by-step explanation:

jgcgjgxjtcjtcjdtcjdtjtjxtjxgj

Answer:

x=4

Step-by-step explanation:

5 + 9 = 6x - 10

14 = 6x - 10

6x = 24

x = 4

Answer:

[tex]6x - 10 = 5 + 9 \\ 6x - 10 = 14 \\ 6x = 14 + 10 \\ x= \frac{24}{6} \\ x = 4[/tex]

Answer:

The line 5x – 3y = 27 is perpendicular to the line y = -3/5x+1.

Hence, option A is correct.

Step-by-step explanation:

Given the line

y = -3/5x+1

comparing with the slope-intercept form of the line equation

y = mx+b

so the slope = m = -3/5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/5

perpendicular slope = – 1/(-3/5) = 5/3

Thus, the new line will have the slope = 5/3

Now Checking the line given in option A

5x – 3y = 27

writing the line in the slope-intercept form of the line equation

3y = 5x-27

divide both sides by 3

y = 5/3x - 9

here the slope m = 5/3 which is the negative reciprocal of the slope of the other line y = -3/5x+1.

Therefore, we conclude that the line 5x – 3y = 27 is perpendicular to the line y = -3/5x+1.

Hence, option A is correct.

Answer:

40%

Step-by-step explanation:

5.75 · 0.40 = 2.3

5.75 - 2.3 = 3.45

Answer:

What's the question?

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

a/c and d/e are equal to cos(b)

Step-by-step explanation:

i used substitute and solve at first, but that didnt work too well so i moved on to the guess and check method.

my guess is a/c and d/e are equal to cos(b), can anyone check this?

Answer:

$550 was invested in the 4% account while $700 was invested in the 7% account

Step-by-step explanation:

Let the amount invested in each account be $x and $y respectively

The sum of these two is $1,250

Mathematically;

x + y = 1250 •••••(i)

Now, let’s work with the interest rate;

4% of x + 7% of y = 71

4x/100 + 7y/100 = 71

Multiply through by 100

4x + 7y = 7100 •••••(ii)

From i;

x = 1250-y

Substitute this into ii

4(1250-y) + 7y = 7100

5000 - 4y + 7y = 7100

3y = 7100-5000

3y = 2100

y = 2100/3

y = 700

Recall;

x + y = 1250

700 + x = 1250

x = 1250 - 700

x = 550

Answer:

P

Step-by-step explanation:

Answer:

P

Explanation:

N and Q are both acute angles while P is an Obtuse angle.

Answer:

she was born in 1932

Step-by-step explanation:

2007-75=1932

Answer:

1932

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Eric's demand for fish tacos increased by 50% when his income increased by 20%.

An income elasticity of demand greater than 1 indicates a normal good, while an income elasticity of demand less than 1 indicates an inferior good.

To calculate the income elasticity of demand for fish tacos, you need to divide the percentage change in the number of fish tacos demanded by the percentage change in income.

As per the question, the number of fish tacos demanded increased by 50% (15 - 10 = 5, and 5 / 10 = 0.5), and the income increased by 20% ($600 - $500 = $100, and $100 / $500 = 0.2).

So, the income elasticity of demand is 0.5 / 0.2 = 2.5.

This means that when Eric's income increased by 20%, the number of fish tacos he demanded increased by 50%.

To learn more about income elasticity click here:

https://brainly.com/question/15313354

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Hello!

Judy can buy [tex]\boxed{ \bf 5~sheets~of~felt}[/tex] and [tex]\boxed{ \bf 7~sheets~of~card~stock.}[/tex]

I solved the problem in the image attached below. Go check it out! If you don’t understand a certain step, you may ask me in the comments.

Answer:

D

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Here s = 5x³ , then

A = 5x³ × 5x³

   = 5 × 5 × x³ × x³

   = 25 × [tex]x^{(3+3)}[/tex]

   = 25[tex]x^{6}[/tex] → D

Answer:

The Answer is: x=10 or anything less than 10, but if there are no answer choices, I recommend you just say 10 or under 10

Step-by-step explanation:

2/3(3x-6)+1 = 15=

(2x-4)+1 = 15 =

(2x-5) = 15 =

(2x) = 20 =

x = 10 or less

Its kinda complicated, first ignore the less than or greater than sign and change it to an equal to sign now simplify it by doing order of operations, normally parenthesis goes first but there's nothing you can do in there, so since its 2/3(3x -6), you will need to divide everything in the parenthesis by 2/3, subtract everything by a third of its amount, and your outcome will be (2x  -4) + 1, now add the one to 4 and you will now get 5 and your new outcome will be (2x-5) = 15. Now that its simplified instead of subtracting the 5 you will be adding it to the opposite side, which sounds complicated so let me explain, since you can't simplify it further, your basically summing it up on the opposite side therefore, with this, you will get (2x) = 20, same goes with multiplication too, you sum it up on the other side by its opposite, which is division, so instead of multiplying 2 by x, your dividing 20 by 2, and you will get as your new outcome, and your answer x = 10 or of which less than 10 because 10 is greater than or equal to x.

Therefore, your final answer is x is less than or equal to 10.

Hope This Helps!

Answer:

b

Step-by-step explanation:

The pentagons remain similar because similarity is not affected when the lengths of a figure are changed. Option d is correct.

Two pentagons are given, 2 units add to each of the sides of both the pentagons. whether the two pentagons are similar or not is to be determined.

Pentagon is defined as a 5 sided polygon have equal lengths of sides and vertices make 72° at the center

Two pentagons are similar if 2 units are added to both the lengths of sides of the pentagon it will not affect their similarities. Because the ratio of the side to 1 pentagon to other pentagon remains the same on all sides.

Thus, the pentagons remain similar because similarity is not affected when the lengths of a figure are changed.

Learn more about the pentagon here:
https://brainly.com/question/17054992

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Answer:

you can maybe try asking desmos that app or web is very helpful it may help you with your question!

Answer:

πr(r+h2+r2)

Step-by-step explanation:

Answer:

A=πr(r+h2+r2

Step-by-step explanation:

Answer:

PART A: C = 10 +8h

PART B: what you do is plug in the number 9 to h. so then you get C = 10 +8(9). This simplifies to C = 10 + 72. The final answer is C = 82. So Jessica made $82 for babysitting for 9 hours.

Answer:

part A:

С = 10 + 8h

part B :

$10 + $8 · 9 = $82

Answer:

-8/9z-7

Step-by-step explanation:

reduce fraction: 5/9z-2/3+2-7/9z-9

calculate difference: -8/9z+2-9 —> -8/9z-7

Step-by-step explanation:

Sorry this question is very important

What's the question?

Step-by-step explanation:

Every equation multiples 10 times on each side and it's division so it's the same!

Answer:

Step-by-step explanation:

simplify:

1/1-x^(b-a)+1/1-x^(a-b)​

[tex]\frac{1}{1-x^{b-a}} + \frac{1}{1-x^{a-b}}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a})(1-x^{a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+x^{b-a+a-b})}\\= \frac{1-x^{a-b} + 1-x^{b-a}}{(1-x^{b-a}-x^{a-b}+1)}\\= \frac{2-x^{a-b}-x^{b-a}}{2-x^{b-a}-x^{a-b}}\\= 1\\ \\[/tex]

Hence the required answer is 1

Answer:

Answer:

A. $7.50

B. 9.15%

Step-by-step explanation:

Difference of 82 and 74.50 = |82 - 74.50|/((82 + 74.50)/2) = 7.5/78.25 = 0.095846645367412 = 9.5846645367412%

74.50 is a 9.1463414634146% decrease of 82.

Percentage of decrease = |82 - 74.50|/82 = 7.5/82 = 0.091463414634146 = 9.1463414634146%