If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?
Answers
The question is incomplete. Here is the complete question.
If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?
B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)
Answer: B(1, 3) and D(1, -2)
Step-by-step explanation: Area of a rectangle is the multiplication of its width and its length.
The rectangle to be has length, or distance from point A to point C, of 5 units.
For the area to be 20, width has to be 4.
Point B will be 4 units to the right of point A, which means:
[tex]x_{B}=x_{A}+4[/tex]
Point A has coordinates ( -3, 3), then:
[tex]x_{B}=-3+4[/tex]
[tex]x_{B}=1[/tex]
Because the points is "moved" to the right, instead of up or down, y-coordinate stays the same:
[tex]y_{B}=y_{A}[/tex]
[tex]y_{B}=3[/tex]
Point D will be 4 units to the right of point C:
[tex]x_{D}=x_{C}+4[/tex]
Coordinates of point C are ( -3, -2):
[tex]x_{D}=-3+4[/tex]
[tex]x_{D}=1[/tex]
Because a rectangle has a pair of sides parallel to each other, D's y-coordinate will also be the same:
[tex]y_{D}=y_{C}[/tex]
[tex]y_{D}=-2[/tex]
Coordinates of points B and D that makes rectangle ABCD have area of 20 square units are (1, 3) and (1, -2), respectively.
Related Questions
f (x) = 2x g(x) = 4x + 5 Find f (x) + 3g(x)
Answers
Answer:
f(x) + 3g(x) = 14x + 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x
g(x) = 4x + 5
Step 2: Find
Substitute in functions: 2x + 3(4x + 5)[Distributive Property] Distribute 3: 2x + 12x + 15Combine like terms: 14x + 15Please help me pass due
Answers
Answer:
226.98 rounded equals 226.98!
Have a great day!
Please Help me with these!
Answers
Answer:
30% and $30
Step-by-step explanation:
Well 240-168 is 72
72 is 30 percent of 240 because
240* x/100 = 72
24000x=7200
x=.3
.3 is percentage is 30%
We can check by doing
240*.3= 72
there is a 30% decrease
Next question
If the total price of something is 31.20 with a 4% tax we do
x * .04 + x = 31.20
because 4% added to the price of that object is 3.20
1.04x = 31.20
x= 30
we can check by doing
30*.04+ 30= 31.2
Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 60n
f(n) = 4 – 55n
f(n) = 4n – 55
f(n) = 60 + 4n
Answers
Answer: I don't know/ A. f(n) = 4 + 60n
60+4n=cost. Because the number of children is multiplied by the cost for each child
i would say f(n)=60 +4n but i am probably wrong
Step-by-step explanation: other brainly's
f(n) = 4n + 60...or f(n) = 60 + 4n
f(n)=60+4n that is the correct answer!!!!!!
PLS SOLVE THIS
I WILL MARK BRAINLIEST
Answers
Answer:
AB = 25 units
Step-by-step explanation:
In right triangle ACB, [tex] CD\perp AB[/tex]
Therefore, by geometric mean property:
[tex]CD^{2} ={AD\times DB} \\ \\ {10}^{2} = AD\times 5 \\ \\ 100 = 5AD \\ \\ AD = \frac{100}{5} \\ \\ AD = 20[/tex]
AB = AD + DB
AB = 20 + 5
AB = 25 units
A model car is 7.5 inches long made with a scale of 2 inches = 48 inches. How long is the actual car?
a) 15
b) 20
c) 180
d) 360
WILL MARK BRANLIEST!
Answers
Answer:
I'm pretty sure its 180 !!
Fill in the blanks to write the fraction 3/4 as in different ways
Answers
Answer:
1.3/4 × 2/2 = 6/8
2.3/4 × 3/3 = 9/12
3.3/4 × 4/4 = 12 /16
4. 3/4 × 5/5 = 15/20
A. [(-30)+(-5)]+[45÷(-5)]
B.[17-(-9)]+[(-39)÷(-3)]
C. [(-23)+(-9)+11]+[(-12)×4]
D.[17+(-40)]+[(-16)+12]
E.[23+(-19)]+[(-5)×8×(-3){
Repaso de números enteros y fraccionarios Chicos me ayudan a resolver esto plis con todo el procedimiento
Answers
A) Answer:
[tex] - 44[/tex]
B) Answer:
[tex]39[/tex]
C) Answer:
[tex] - 69[/tex]
D) Answer:
[tex] - 27[/tex]
Sorry, I don't think the last one is an equation.
I think you didn't wrote the number that comes after that.
is -2 9/11 a rational number or irrational number
Answers
Answer:
irrational
Step-by-step explanation:
9/11 is a decimal that gets repeated so it is irrational
Answer:
11
Step-by-step explanation:
Yep here we go again:
In the diagram below lines HA and BC are parallel. If angle GEC = 135 what is angle DEC?
If you don't know the answer or not sure please don't answer! :)
I will give brainliest to the best answer!
Hope you have a good day!
Answers
Answer:
let DEC=x
x-135=180
x=45°
supplementary angles
Samuel bought 8 shirts for a total of $58. If tee shirts cost $6 and long sleeve shirts
cost $11, how many of each type of shirt did he buy?*
Answers
calculate the Unknown Missing angle measures
Answers
Answer:
Step-by-step explanation:
c=180-123=57
b=180-123=57
d=180-57-55=68
a=180-68-57=55
a,b,c,d=55, 57, 57, 68 degrees
if 5,400,000
was written in scientific notation, what would be the exponent?
Answers
Answer:
hope it helped have a good day mate
given that line a is parallel to line be and the slope on line a is 2 what is the slope of line b?
Answers
its line a
Step-by-step explanation:
WILL MARK BRAINLEST
Answers
Answer:
x=13
Step-by-step explanation:
62+(4x+7)+(6x-5)+41+(3x+6)+(7x-11)=360
62+4x+7+6x-5+41+3x+6+7x-11=360
100+20x=360
20x=360-100
20x=260
x=260/20
x=13
In x^a=y, y^b=z, z^c=x, then prove that abc=1
Answers
Step-by-step explanation:
Let, x^a =y......(1) and
y^b =z.....(2) and
z ^c =x......(3).
Now, using (1) in (2) we get,
x ^ab =z......(4).
Now, using (4) in (3) we get,
x ^abc =x
or, x ^abc =x ^1
or, abc=1.
Hope it will help :)
Step-by-step explanation:
hope the above solution will help you
Alvin is 15 years older than Elga. The sum of their ages is 77. What is Elga's age?
Answers
Answer: I think that it is 62
Step-by-step explanation:
77 minus 15= 62
tell me if its right.
hope this helps
In a survey of 1800 people who owned a certain type of car, 1260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
70%
Step-by-step explanation:
To find the percentage, we divide the number by the total.
The amount of people who said they'd buy it again is 1260, and the total is 1800.
1260/1800=0.7.
This means that 70% were satisfied with the car.
Answer:
70% you just take the amount of people that were satisfies divided by the overall amount of people. you'll get e decimal but just move the decimal place to get the percent.
Step-by-step explanation:
Which statements regarding the diagram are correct? Check all that apply. ST ≅ ST by the reflexive property. ∠RWS ≅ ∠UWT because they are vertical angles. △RWS ≅ △UWT by AAS. △RST ≅ △UST by SAS. ∠WTU ≅ ∠WSR because CPCTC.
ANSWER: ST ≅ ST by the reflexive property.
∠RWS ≅ ∠UWT because they are vertical angles.
△RWS ≅ △UWT by AAS.
∠WTU ≅ ∠WSR because CPCTC.
Answers
Answer:
A., B., C., and E.
Step-by-step explanation:
edge 2021
The correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.
Given the image attached below, let's analyze each of the options given to determine whether they are correct or not.
Statement 1 is correct because based on reflexive property, ST in ΔRST is congruent to ST in ΔUTS.
Statement 2 is also correct because ∠RWS is vertically opposite to ∠UWT, so they are vertical angles.
Statement 3 is also correct because ΔRWS and ΔUWT have two pairs of congruent angles (∠SRW ≅ ∠TUW and ∠RWS ≅ ∠UWT) and one pair of non-included congruent sides (SR ≅ TU).
Statement 4 is incorrect because ΔRST and ΔUST do not have a pair of included congruent angles to meet the SAS Congruence Criterion.
Statement 5 is correct because since ΔRWS ≅ ΔUWT, ∠WTU ≅ ∠WSR based on the CPCTC theorem.
Therefore, the correct statements regarding the diagram include all the statements except: △RWS ≅ △UWT by AAS.Learn more about congruence theorem on:
https://brainly.com/question/2102943
Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.
Answers
Answer:
mia
Step-by-step explanation:
mia: 10/6 per minute
shawn: 5/4 per minute
common denominator is 12, multiply by 2 and 3
20/12 lap per minute mia
15/12 laps per minute shawn
20 > 15
what is the product of 3.54 and 3.7? show work / explain please!
Answers
Picture with working out
please help for points
Answers
Answer:
117 degrees
Step-by-step explanation:
These two angles are the same
Move the red distribution at the top so that it aligns with the blue distribution. Now look at the green distribution at the bottom. How would you best interpret the green (bottom) distribution?
A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.
B- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are not statistically different.
C- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are statistically different.
D- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are statistically different.
Answers
Answer:
A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.
Step-by-step explanation:
The distribution of both the red and blue is identical although the skewness differs slightly. The distribution of the two groups is identical and their mean is near to zero. The distribution of observation of the group provides clear view that these two groups are not statistically different.
Find and reduce
5/6 - 2/3 x 3/4
Answers
Answer:
1/3
Step-by-step explanation:
Answer: 1/3
Step-by-step explanation:
A survey was conducted at a local restaurant about the type of seating preferred by males and females. The results of the survey are shown i
the table.
Indoor Outdoor Total
Males
23
65
88
Females
47
13
60
Total
70
78
148
Approximately what percentage of those surveyed preferred indoor seating?
A. 47%
B. 53%
C. 70%
D. 78%
Answers
Answer:
c: 70
Step-by-step explanation:
how do i solve for y? what’s the answer?
Answers
Hope this helps
Answer:
Hello!
A parallel line must equal 180 degrees. Thus, 6y plus 120 degrees must equal 180. First, subtract 120 from 180. This gives us 60. To find y, we divide 60 by 60. This gives us 10. So, our answer is y=10. This means that y is being multiplied 6 times to equal 60.
I hope this answer helped you! If it did, please rate it and give it a Thanks so other people can learn from it too!
Have a great day!
Factor this expression.
4x - 16
OA. 4(x-4)
OB. 4(x - 12)
O C. 4(x-8)
O D. 4(x - 2)
Answers
Answer:
4(x-4)
Step-by-step explanation:
Both 4x and 16 have a positive 4 in common so you would take it out and that leaves you with x and -4 so those go in the parenthesis.
4•x is 4x
4•-4 is -16
So, 4x-16
Giovanni is heating up mini frozen pizzas in the microwave. Each pizza takes 3 ¾ minutes to cook. How long will it take Giovanni to heat up 3 pizzas? *
Answers
Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]
Number of pizzas with Giovanni = 3
Time that will be taken to heat up 3 pizzas :
[tex] =\tt 3 \frac{3}{4} \times 3[/tex]
[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]
[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]
[tex] = \tt\frac{15}{4} \times 3[/tex]
[tex] = \tt \frac{15 \times 3}{4} [/tex]
[tex] = \tt \frac{45}{4} [/tex]
[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]
Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.
Please help due today
Answers
Answer:
cubic hahahabqbnqnwnw
helppppp............
Answers
Answer:
V=lwh
4x6x3
v=72
Answer:
72 cm
Step-by-step explanation:
for volume is pretty simple. All you have to do is multiply the length width and height of you're shape. Once you do that you get 72cm