Points are plotted at (-2, 2), (-2,4), and (2,-4). A fourth point is drawn such that the four points can be connected to form
a rectangle. What is the area of this rectangle?
8 square units
12 square units
16 square units
24 square units

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

But, the above equation was solved at the condition that:

[tex]m\neq 3[/tex]

So, there is no solution for the given equation.

Answer:

D on Edge2020 (No solution)

Step-by-step explanation:

Answer:49.10988336

Step-by-step explanation:

800 divided 16.29

800÷16.29=49.10988336

Answer:

Diameter of the earth is 7930.25 miles

Step-by-step explanation:

To find the diameter of the earth, we will follow the steps below:

first write the formula of the circumference

c = 2πr ---------------------------------------------------------------------------------------------(1)

where r is the radius  and c is the circumference

from the diagram below, circumference is given to be 24901 miles

π = 3.14

substitute the value of c and π  into equation (1) and solve for r

c = 2πr

24901 = 2 × 3.14× r

24901 = 6.28 r

Divide both-side pf the equation by 6.28

24901/6.28 = 6.28 r/6.28

3965.1274≈ r to the nearest tenth

r≈ 3965.1274 miles

But diameter = 2r

diameter = 2 × 3965.1274

diameter ≈ 7930.25  to the nearest tenth

Diameter of the earth is 7930.25 miles

Answer:

Step-by-step explanation:

The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.

C = πd

Given C = 24, 901miles and π = 3.14, on substituting,

24, 901 = 3.14d

d = 24,901/3.14

d = 7930.255

d ≈ 7930.3miles to the nearest tenth

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

the unit rate is 3

Answer:

B) -0.98

Step-by-step explanation:

Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.

The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.

Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.

Answer:

-0.98

Step-by-step explanation:

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed

Answer:

Step-by-step explanation:

6n because 6n it's 6 times n

______________________________

Hey!!

Answer: 6n

6n does not represent "the sum of n and 6"

6n represents "the product of n and 6"

Hope it helps..

Good luck on your assignment

___________________________

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

Answer:

241.5 ft^2

Step-by-step explanation:

First, find the area of the deck. A = LW.  L = 20, W = 16.

20 x 16 = 320.

Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex].   r = 5.  

A = (pi)5^2

A = 25(pi)       pi =  3.14

A = 78.5

Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.

320 - 78.5 = 241.5

________________________________

Solution,

X+7=23

or,X=23-7

X=16

The value of X is 16.

Hope it helps

Good luck on your assignment

______________________________

Answer:

Step-by-step explanation:

x  + 7 = 23

When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.

x + 7 = 23

   - 7 = -7     <-- This is where you remove from one side what you remove          x + 0 = 16           from the other side.

Now that one side only has X, we can find the answer.

x = 16

Answer:

See bolded below

Step-by-step explanation:

Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;

[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]

Thus, we can conclude the following;

Natalie Coaster - 1st Place,

Patrick Adams - 2nd Place,

Analee Baker - 3rd Place,

Connor Davis - 4th Place

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Answer:

h = 5 + 1.5d

Step-by-step explanation:

Answer:

44.4

Step-by-step explanation:

right on edge

Answer:

2.5 kilograms

Step-by-step explanation:

10 rings times each weight ring(250)=2500

2500 grams to kilograms is 2.5

Answer:

195

Step-by-step explanation

since its 13 times 6 times 5 that is 390, but u have to do one half for triangles so its 195 i think

-3x-4= +12

X negative 3 and 4 then add +12 to it.

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer: 10 cups

Step-by-step explanation:

10 tortillas = 4 cups

25 tortilas = 25/10 x 4 = 10 cups

Answer:

10 cups

Step-by-step explanation:

Let's use a ratio:

cups : tortillas

   4    :     10

   2    :      5

  10    :     25

Stephanie needs 10 cups of flour.

Answer:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:

or

Step-by-step explanation:

In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:

Having this, you can make the equation taking into account the proportion:

This equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:

How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.

Answer:

b = 2.5 r

or

b = 5r/2

Answer:

C

Step-by-step explanation:

Answer:

C 135.

Step-by-step explanation:

For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225  * 3/5

= 45 * 3

= 135 adults.

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Answer:

6x = 30

Step-by-step explanation:

6x

Let x = 5

6*5 = 30

6x = 30

________________________________

Hey!!!

Solution,

X=5

Now,

6x

=6*5

=30

So the right answer is 30.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

______________________________

Answer: She earned 868,5 in total last week.

Step-by-step explanation:

18 x 40 = 720 --> earned during the first 40 hours of work

27 x 5,5 = 148,5

148,5 + 720 = 868,5--> total

Answer:

$868.50

Step-by-step explanation:

She worked for 40 hours and gained $18 per hour. That equals $720. She then worked for 5.5 more hours gaining $27 an hour. That equals $148.5. Add those together and you get $148.50.

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.

Answer:

84

Step-by-step explanation: