A rectangles coordinates (RECT) are located on a coordinate plane. The coordinates for R, E, and C are: (0, 4), (5, 4), and (5,0). What is the area of the rectangle RECT?

Answer:

[tex]x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Step-by-step explanation:

Given

Quadratic equation is

[tex]x^2-x-2=3\\x^2-x-5=0[/tex]

Roots of the quadratic equation [tex]ax^2+bx+c=0[/tex] are

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

So, for the given equation roots are

[tex]x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79[/tex]

Answer:

25

Step-by-step explanation:

An average 6th grader weight 80 pounds and 2000/80 is 25

25 six graders might weigh 2000 pounds, considering the average weight of a six grader is 80 pounds.

Average is the mean value of the data. It is a measure of central tendency.

Given the following information:

A ton might weigh 2000 pounds.

We need to find the total number of six graders require to collectively weigh 2000 pounds.

Let the total number of six graders require = x

Consider the average weight of a six grader is 80 pounds.

Total weight=  average weight of a six grader x  total number of six graders x

Total weight=  80x

2000=80x

To calculate the value of x, divide 80 both the sides.

2000/80=80x/80

25=x

x=25

Thus, 25 six graders might weigh 2000 pounds.

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Answer:

B

Step-by-step explanation:

1/4+0.5=3/5 3/5=0.75 it is a rational number

the other ones are not rational because they are endless numbers

Answer:

The answer is

[tex] - 9 \frac{1}{4} [/tex]

Answer:

no but try socratic

Step-by-step explanation:

it will help very much;)

Answer:

1?

Step-by-step explanation:

11/12 closest to

Answer:

1.15

Step-by-step explanation:

when you have a % above 100 you divide that by 100 so it's 115 divided by 100 which is 1.15

Answer:

(-3, -6)

Step-by-step explanation:

y=2x

-3x-15=y

Use Substitution Method

-3x-15=2x

+3x      +3x

-15=5x

/5   /5

-3=x

y=2x

y=2(-3)

y=-6

Answer:

(-3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x

-3x - 15 = y

Step 2: Solve for x

Step 3: Solve for y

Answer:

b=80

c=80

Step-by-step explanation:

the angle opposite to the 100 degree angle is congruent to it

same goes for b and c

so far we have 2 angles that measure 100 degrees 100+100=200

the sum of the 4 angles is 360

360-200=160

160/2=80=b=c

Answer:

9.37 divide by two = 4.685

4.685 in 2DP = 4.68

Step-by-step explanation:

i hoped this helps.

Answer:

2.98 :)

Step-by-step explanation:

the circumference is when you do pi times diameter.

do 9.37 divided by 3.14(pi) to work out the diameter.

9.37/3.14=2.984

rounded its 2.98

Answer:

47.1 inches

Step-by-step explanation:

circumference is pi times diameter

3.14 times 15 is 47.1

Answer:

Step-by-step explanation:

47.1

Answer:

33

Step-by-step explanation:

Answer: B. 38

Step-by-step explanation:

Got it right, Edge 2022.

Answer: G, I think? It’s been awhile

Step-by-step explanation: There is 14 in every box, if i remember correct that means it’s not a function.

Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

Answer:

the values of x and y, based on the figure on the right is of b

x=76°,y=48°

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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Answer:

x≤2 or x≥-6

Step-by-step explanation:

Isolate the variables on both equations

3x-4≤2

3x≤6

x≤2

2x+11≥-1

2x≥-12

x≥-6

Answer:

Options :

A.

C.

D.

Step-by-step explanation:

1200m + 500 = 10700

Answer:

The slope is [tex] \frac{3}{8} [/tex].

Step-by-step explanation:

Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Just plug in.

[tex]m = \frac{ - 7 - ( - 10)}{0 - ( - 8)} = \frac{3}{8} [/tex]

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 7 ← is in slope- intercept form

with slope m = 5

Answer:

The slope is 5.

Step-by-step explanation:

y=mx+b is the equation used to plot a line, where m is the slope and b is the y intercept.

x [tex]\geq[/tex] 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

Answer:

Step-by-step explanation:

-2/3 * 5 1/6 .....step 1.....correct

(-2/3 * 5) + (-2/3 * 1/6).....his error is here...it should be like I have written it, but Calvin is getting his addition and multiplication mixed up

-10/3 + (-1/9) =

-30/9 - 1/9 =

-31/9 =

- 3 4/9

Answer:

Step 1

Step-by-step explanation:

Edge 2020

Answer: x= 3

Step-by-step explanation:

2x + 5 = 11

2x = 6

x = 3

Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight,  we have to find the sum of length of both edges

Let [tex]R_E[/tex] be the distance of route around edges

[tex]R_E = 80+60 = 140\ meters[/tex]

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

[tex]H^2 = P^2 + B^2[/tex]

In the given scenario

P = 60

B = 80

Now

[tex]H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters[/tex]

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

[tex]= 140-100 = 40\ meters[/tex]

Hence,

The route across the park is 40 meter shorter than the route around its edges.

Answer:

-3/2

Step-by-step explanation:

Count up three times and to the left twice. Let me know if you need help with other questions!

Answer:

Step-by-step explanation:

65%  is greater

Answer:

Angle B = 131 degrees

Step-by-step explanation:

We know that since there's an angle labeled 139 degrees and a straight line is 180 degrees in total, the other angle is equal to 180 - 139 = 41 degrees.

Since all triangles have 3 angles that add up to 180 degrees and we know that theres a right angle, a 41 degree angle, then angle A must equal to 180 - 41 - 90 = 49 degrees.

We know that vertical angles are congruent, therefore angle C is also equal to 49 degrees.

Angle B and angle A form a straight line, which we have defined as 180 degrees.

180 - 49 = 131 degrees.

Angle B = 131 degrees