Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3,−2), B(6, -2), C(6, 5) D(3,5). What is the area of this rectangle

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]Distance=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}} \\[/tex]

A(3,-2) ;  B(6,-2)

[tex]AB=\sqrt{(6-3)^{2}+(-2-[-2])^{2}}\\\\ =\sqrt{3^{2}+(-2+2)^{2}}\\\\=\sqrt{9+0}=\sqrt{9}\\\\[/tex]

AB = 3 units

B(6,-2) ;  C(6,5)

[tex]BC=\sqrt{(6-6)^{2}+(5-[-2])^{2}} \\\\=\sqrt{0+(5+2)^{2}}\\\\=\sqrt{(7)^{2}}\\[/tex]

BC = 7 units

Area of rectangle = length * width

                             = AB * BC

                             = 3 * 7

                             = 21 square units

Answer 2
The answer is 72,14 step by step answer and equation

Related Questions

Find the common difference, d, in the following arithmetic sequence.
42, 38, 34, 30, 26, …



–5


5


4


–4

Answers

Answer: -4

Step-by-step explanation: Let me know if you need an explanation.

Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? answers: 4(x + 9) = 3x − 8 − 5 4x + 36 + 5 = 3x − 8 4(x + 9) − 5 + 8 = 3x x = −49

Answers

Answer:  4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

The subtraction property of equality states that f a = b, then a − c = b − c. Subtracting 5 from both sides of the given equation gives 4(x + 9) = 4x − 8 − 5.

QUESTION 5 The temperature was -7°C in the morning. The temperature dropped 3°C by sunset. What was the temperature at sunset? +10°C +4°C -4°C -10°C

Answers

-10°C or you can put positive if you want

Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.
a) asset
b) claim
c) debt
d) liability

Answers

b) Claim is the answer to the question
i would say D because it would be a personal liability

PLEASE HELP! An equilateral triangle has what type of symmetry? A. line symmetry only B. point symmetry only C. both point and line symmetry D. neither point nor line symmetry E. both point and rotational symmetry

Answers

Answer:

A

Step-by-step explanation:

it has 3 lines of symmetry

Answer:

both i think dont be mad if its not right im stressed right now

Step-by-step explanation:

brainlist if correct
and thanks
question is the screenshot

Answers

Answer:

(0,1/2)

Step-by-step explanation:

When X=0, Y=0.5, or 1/2

1/2=0+1/2

Answer:

(0, 1/2)

Step-by-step explanation:

y = x + 1/2

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 1 and the y intercept is 1/2

(0, 1/2)

Last week, a candle store received $355.60 for selling 20 candles. Small candles sell for $10.98 and large candles sell for $27.98. How many large candles did the store sell?

Answers

Answer:

8 large candles

Step-by-step explanation:

If all the candles were large candles,

Amount received

= 20( $27.98)

= $559.60

Difference in amount received

= $559.60 -$355.60

= $204

Difference in the cost of a small candle to a large candle

= $27.98 -$10.98

= $17

Number of small candles

= $204 ÷$17

= 12

Thus, number of large candles

= 20 -12

= 8

Let's check!

Amount received

= 8( $27.98) +12( $10.98)

= $355.60 ✓

Calculate the Rate of change

Answers

the rate of change is -5. this can be calculated by taking two points, let’s do (0,30) and (3,15). subtract one coordinate from the other (doesn’t matter which one is which) using the formula (y2-y1)/(x2-x1) = rate of change. so that looks like this: (15-30)/(3-0)= -15/3= -5, therefore the rate of change is -5.

What is the value of log6255?
O 4
4 14
O
O 4

Answers

Answer: 3.79622731403

Step-by-step explanation:

It’s really like 3.79622731. Rounded up, 4 so go with D out of your options.

The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

There is only one R in the bag

So the probability would be 1/6

1/6 as a decimal is 0.16

Thus, your answer would be option D

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

What is the domain of the function y=/x?
-00 0 0 1

Answers

Answer:

It Should be (-infinity, + infinity)

Step-by-step explanation:

Find the area of the shaded region of the figure below. Each small square is 1 cm x 1cm.

Answers

Answer: 23 cm squared

Step-by-step explanation:

Since the area of each square is 1 cm squared.

We can count up the number of squares which will be the total area.

There are 23 squares so the area of the region is 23 cm squared.

Answer: 23 cm²

Step-by-step explanation:

Since the squares are each 1 cm × 1 cm, you can technically count all the shaded squares, but it is good to do it mathematically.

We can separate this shape into 1 parts. The top part sticking up is a square and the bottom, a rectangle. We find the area for both parts and add them together.

Square:

3 cm × 3 cm = 9 cm²

Rectangle:

2 cm × 7 cm = 14 cm²

Total:

9 cm² + 14 cm² = 23 cm²

I NEED QUICKKKK will mark brainliest A perfectly vertical stack of dominoes has a volume of 1.8 cubic inches. Another stack of the same number of dominoes is slanted slightly to the right. What is its volume?

Answers

Answer: 1.8

Step-by-step explanation: I’m not entirely sure about this, but it probably is 1.8 because I don’t think the slant would change the volume, though I may be wrong

Answer:

1.8 cubic inches

Step-by-step explanation:

The perfectly vertical stack has a volume of 1.8 cubic inches. Therefore, another stack with the same amount would have the same volume, regardless of whether or not it is slanted.

Express the equation in the form Y= mx+b by solving for Y. -2x-y=10
A: y=-2x+10
B: y=2x+10
C: y= 2x-10
D: y= -2x-10

Answers

Answer:

the answer is d: y=-2x-10

write 0.0004353 in scientific notation

Answers

Answer:

Step-by-step explanation:

4.35 x 10-4

(Scientific Notation)

Answer:

4.353*10^-4

Step-by-step explanation:

Def. of scientific notation

Which are not changed after a rotation? Check all that apply
angle measures
orientation
size
shape
position of center of rotation

Answers

Answer:

Angle measures, size, shape, position of center of rotation.

Step-by-step explanation:

Rotation is a rigid motion, meaning the angle measures, size, and shape are preserved. Also, since we are rotating around the center, the center would stay the same. So the answer is angle measures, size, shape, position of center of rotation.

When a shape is rotated, it must be rotated through a center.

Angle measures , the size , the shape , and the position of center of rotation do not change after rotation

Rotation is a rigid transformation.

This means that, rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.

Except the center of rotation is changed to perform another rotation, the rotation does  not change the center of rotation.

Hence, all except orientation remain unchanged after a rotation.

Read more about rotation at:

https://brainly.com/question/1571997

Maria owns 80 shares of a certain stock. Yesterday the value of each share went up by 10 dollars. What was the total change in value of her shares?

Answers

Answer:

800

Step-by-step explanation:

each share is worth 10 more dollars 80x10=800

can anyone rewrite the quadratic function in standard form?

Answers

Answer:

y = -2(x-2) (x+8)

Step-by-step explanation:

got you bro

Answer:

y = -2x² -12x + 32.

Step-by-step explanation:

Recall that a quadratic equation in standard form is:

y = ax² + bx + c.

To rewrite the equation in standard form, you will need to FOIL and distribute the -2. This can be done by:

y = -2(x-2)(x+8)

FOIL the factored part of the equation. Ignore the '-2' for now.

y = -2 (x² +6x -16)

Now, multiply the '-2' with all of the terms:

y = -2x² -12x + 32.

This is your equation in standard form!

Which graph shows the solution to the system of linear inequalities below?

Answers

Answer: Graph A or answer D is correct

find points of discontinuity y=x^2+5x+6/x^2-16

Answers

Answer:

  x=4 and x=-4

Step-by-step explanation:

We assume you intend ...

  y = (x^2 +5x +6)/(x^2 -16)

There will generally be points of discontinuity where the denominator is zero. Sometimes a denominator factor will be cancelled by a numerator factor, but the "hole" remains and there is still a discontinuity there.

Here, the denominator factors as the difference of squares:

  x^2 -16 = (x -4)(x +4)

There will be discontinuities where these factors are zero, at x=4 and x=-4.

In the proportion 15/25=3/5 the terms that are called extremes are?

Answers

Answer:

15 and 5

Step-by-step explanation:

15:25::3:5

so, extreme are the terms which the underlined

Answer:

15, 5

Step-by-step explanation:

The outer terms in a ratio are called extremes. The outer terms here are 15 and 5 while the inner terms or means are 25 and 3.

What type of graph is best to use to organize numerical data based on their digits to compare value? A. Venn diagram B. box and whisker plot C. stem-and-leaf plot D. pictograph

Answers

Answer:

B

Step-by-step explanation:

Alex showed me that it was correct

Answer:

B

Step-by-step explanation:

numericaly organize data based on their digits to compare value

Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer

ALSO

What is this shape called

Answers

Answer:

The volume of a sphere:

[tex]V \approx 3053.628[/tex] [tex]cm ^3[/tex]

        or

[tex]V \approx 3053.63[/tex] [tex]cm^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-To find the volume of sphere, you need this formula to help you solve the problem:

[tex]V = \frac{4}{3} \pi r^3[/tex]

-Use the given radius [tex]9[/tex] for the formula:

[tex]V = \frac{4}{3} \pi 9^3[/tex]

-Then, you solve:

[tex]V = \frac{4}{3}\pi \times 9^3[/tex]

[tex]V = \frac{4}{3} \pi \times 729[/tex]

[tex]V = \frac{4 \times 729}{3} \pi[/tex]

[tex]V = \frac{2916}{3} \pi[/tex]

[tex]V = 972\pi \approx 3053.628[/tex] [tex]cm^3[/tex]

-Round up to the nearest hundredth if needed:

[tex]V = 3053.63[/tex] [tex]cm^3[/tex]

I need help and an answer ASAP Please don't abandon the answer I need an answer!

Answers

Divide the number of containers by five to get the number of days.

25/5=5, so it takes five days to eat 25 containers.
answer: it would take 5 days to eat 25 yogurts

explanation: if he eats 10 yogurts in 2 days you divide 2 by 2 and 10 by 2 to find how many he eats each day. then you multiply 5 by 5 to get 25 yogurts and 1 by 5 to get five days. i hope this helps!!

A mailman earned $832 a week last year. What was his yearly salary?

A. $49,396
B. $50,328
C. $ 47,532
D. $43,264

Answers

D. $43.264 is the correct answer

Answer:

the answer would be d. if i am correct

Please help asap, shehhrhd

Answers

Answer:

55°

Step-by-step explanation:

y+x=180°

25°+30°+x=180°

25°+30°=y

y=55°

*Exterior Angle Theorem*

Sorry for the lack of explanation. It's midnight, so I didn't have much time.

There are 16 liquid measuring cups in a gallon. If a gallon contains 3,785 milliliters, is
the vessel above more or less than a liquid measuring cup?

Answers

Answer: A liquid measuring cup has less liquid than the cup.

Step-by-step explanation: 3785/16=236.5625

Thus, would be less.

Hope this helps <3

-Carrie

P.S. please mark brainliest!

It is found that liquid measuring cup has less liquid than the cup.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that 16 liquid measuring cups in a gallon. If a gallon contains 3,785 milliliters,

Therefore, we need to divide the 3,785 milliliters, with the liquid measuring cups

So, 3785/16=236.5625

Thus, That would be less.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ3

Mark is using two different baking pans to bake bread for a bake sale.
If the dimensions of the first pan are 10 x 7 x 3 inches, and the dimensions of the second pan are 10 x 10 x 2 inches, what is the total volume of both baking pans, in cubic inches?

Answers

Answer:

The answer is 410

Step-by-step explanation:

10 x 7 x 3 + 10 x 10 x 2 = 410

looking at the diagrams, answer the question

Answers

Hey!!!

Answers:

1. {d}

2. {a,d,g,f}

3.{g,e,f}

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

Given that sin 60 = root3/2
Find the exact value of sin 240

Answers

Answer:

[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

We are given that:

[tex]sin 60^\circ = \dfrac{\sqrt{3}}{2}[/tex]

We need to find

[tex]sin 240^\circ = ?[/tex]

240 is greater than 180 and lesser than 270

OR

[tex]180^\circ<240^\circ<270^\circ[/tex]

So, Angle [tex]240 ^\circ[/tex] lies in the 3rd quadrant and it is well known that value of sine in 3rd quadrant is negative.

Using the property :

[tex]sin(\pi + \theta) = -sin\theta[/tex] or

[tex]sin(180^\circ + \theta) = -sin\theta[/tex]

Here, [tex]\theta\ is\ 60^\circ[/tex].

[tex]sin 240^\circ =sin(180^\circ + 60^\circ) = -sin60^\circ\\\Rightarrow -\dfrac{\sqrt{3}}{2}[/tex]

Hence, the value

[tex]sin 240^\circ = - \dfrac{\sqrt{3}}{2}[/tex]

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