The upper-left coordinates on a rectangle are (-1, 4), and the upper-right coordinates are (3, 4). The rectangle has a perimeter of 24 units. Draw The rectangle on the coordinate plane below.
Answers
Answer:
Please refer to the attached diagram for answer.
Step-by-step explanation:
Upper-left coordinates on a rectangle are (-1, 4)
Upper-right coordinates are (3, 4)
Perimeter of rectangle = 24 units
To find:
To draw the rectangle on the coordinate plane.
Solution:
Let the rectangle be ABCD.
So, sides AB = CD and BC = DA
Let Point A has coordinates (-1, 4).
And upper right coordinates will be adjacent to A.
So, let Point B (3, 4).
Let us find the distance between A and B by distance formula:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where,
[tex]x_2 = 3\\x_1 = -1\\y_2 = 4\\y_1 = 4[/tex]
[tex]AB = \sqrt{(3-(-1))^2+(4-4)^2}\\\Rightarrow AB = \sqrt{(4)^2+(0)^2}\\\Rightarrow AB = 4[/tex]
AB = 4 = CD
Perimeter of rectangle = Sum of all four sides = 2 (AB+DA) = 24
[tex]2 \times 4 + 2DA = 24\\\Rightarrow 2DA=24-8\\\Rightarrow 2DA=16\\\Rightarrow DA =8\ units[/tex]
As it is a rectangle, its adjacent sides will be perpendicular to each other.
When we move from A to B only x coordinate is changing and it has changed by 4 (3- (-1) ) units. (Found by subtracting the x coordinates of the two points.)
Similarly, when we will move from D to A, only y coordinate will change by 8 units. (D is lower left coordinate so add 8 to y)
[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]
[tex]x[/tex] coordinate will be same as that of A i.e. -1.
So, D will be (-1, -4)
Similarly, when we will move from C to B, only y coordinate will change by 8 units. (C is lower right coordinate so add 8 to y)
[tex]\Rightarrow y + 8 = 4 \Rightarrow y =-4[/tex]
[tex]x[/tex] coordinate will be same as that of B i.e. 3.
So, C will be (3, -4).
Now, let us draw
A(-1, 4)
B(3, 4)
C (3, -4)
D(-1, -4)
Please refer to the attached diagram for answer.
Answer:
A(-1, 4) B(3, 4)C (3, -4)D(-1, -4)
Step-by-step explanation: Brainliest plus-size
Related Questions
Help!!!!!!!!!!!!!!!!!
Answers
this kinda confused me but i wanted to help <3
Which of the following statements about the box plot is true? Min: 4 Max: 16 First Quartile:8 Third Quartile:16
Answers
Answer:
Third Quartile: 16
Step-by-step explanation:
In the box plot given, the five-number summary displayed are:
1. Min = 2
2. First quartile = 4
3. Median = 8
4. Third Quartile = 16
5. Max = 20
Therefore, the statement that is true about the box plot is "Third Quartile: 16". All other statements regarding the box plot are incorrect and untrue.
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released. The average rate of change in T(d) for the interval d = 4 and d = 10 is 0. Which statement must be true?
Answers
Options :
a. The same number of tickets was sold on the fourth day and tenth day.
b. No tickets were sold on the fourth day and tenth day.
c. Fewer tickets were sold on the fourth day than on the tenth day.
d. More tickets were sold on the fourth day than on the tenth day.
Answer:
a. The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given that the average rate of change in T(d), a function used to relate the number of tickets sold for a movie to the number of days since its release is 0 for interval: d=4 and d=10.
Rate of change measures the change in quantity in relation to another, in the scenario it could be interpreted as, the change in quantity of ticket t sold with respect to change in the number of days since the movies was released.
Therefore, if the average rate of change obtained for d =4 and d = 10 gives 0, then it could be inferred that the value of T(d) on both days are the same.
[T(10) - T(4)] / 2 = 0
Then T(10) = T(4)
Answer:
1st option A
Step-by-step explanation:
please solve this que
Answers
Answer:
x=5
Step-by-step explanation:
you need to do dirty math stuff for these kind of Q. not hard you just need to do it, or use computer graphs to solve them.
The sum of two numbers is 6, their difference is 4, find the two numbers. What is their product?
Help as soon as possible. Thanks <3
Answers
Answer:
The two numbers are 5 and 1. Their product is 5
Step-by-step explanation:
x + y = 6 (*)
x - y = 4 (**)
Let (*) + (**)
--> (x+y) + (x-y) = 6 + 4
<=> 2x = 10 <=> x = 5
Substitute x= 5
(*) <=> 5 + y = 6
<=> y=1
Answer: (x,y) = (5,1)
Their product: x.y = 5x1 = 5
Simplify (4x − 6) + (5x + 1). 9x + 5 9x − 5 x − 5 −x − 5
Answers
Answer:
9x - 5
Step-by-step explanation:
Simplify:
(4x − 6) + (5x + 1) = ⇒ opening parenthesis 4x - 6 + 5x +1 = (4x+ 5x) + (1 -6) = ⇒ grouping like terms9x + (- 5) = ⇒ simplifying like terms9x - 5 ⇒ answerCorrect choice: B. 9x -5
Answer:
9x - 5
Step-by-step explanation:
Pls helppppp 25 pt and brainiest for whoever answers it right.
Find the longest side of a parallelogram with a perimeter of 66ft., If the sides measure 3x + 1 and 2x - 3.
Answers
Find the longest side of a parallelogram.
Formula used:-Perimeter of parallelogram = 2 ( a + b )
Solution:-We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
simplfy 2x-6 ( 3y- 4x)- 5y
Answers
Answer:
26x-23y
Step-by-step explanation:
1. expand the terms 2x-18y+24x-5y
2. combine like terms 26x-23y
Solve each system by substitution. 6) -8х - бу = 14 y = 4x - 13
Answers
for every rational number x,x×0=x true' or false
Answers
Answer:
false
Step-by-step explanation:
because any number with power "0" always gives 1
Answer:
False
Step-by-step explanation:
[tex]x \in \mathbb{Q}[/tex]
[tex]x \cdot 0=x[/tex]
This statement is false.
Take the example:
[tex]$\frac{1}{2} \cdot 0\neq \frac{1}{2} $[/tex]
[tex]$\frac{1}{2} \cdot 0=0$[/tex]
The product of any number and 0 is 0.
Tally Lake is 11.25 miles long. Mary starts at one end and kayaks toward the other end, paddling at a constant rate of 2.5 miles per hour. At the same time, Ann starts out from the opposite end and paddles toward Mary at a constant rate of 2 miles per hour. How long will it take for the girls to meet?
Answers
Answer:
2 and a half hours
Step-by-step explanation:
Hello!
To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0
2.5 + 2 = 4.5
11.25 - 4.5 = 6.75 First hour
6.75 - 4.5 = 2.25 Second hour
2.25 is half of 4.5 and half an hour is 30 minutes
2.25 -2.25 = 0 half hour
It will take them 2 and a half hours
The answer is 2 and a half hours
Hope this helps!
Answer:
2 1/2
Step-by-step explanation:
to in a half hours hopefully this helps
Write a problem based on the given information.
P = Cost of dinner
0.15p = cost of a 15% tip
P + 0.15p = 23
Answers
Answer:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
the cost of the dinner = $20
Step-by-step explanation:
Given that:
p= cost of dinner
0.15p = cost of a 15% tip
p + 0.15 p = 23
The objective is to represent this problem in words based on the given information.
From above, we can say that:
The cost of dinner plus a 15% tip was $23. How much is the dinner?
SO;
p + 0.15 p = 23
1.15 p = 23
Divide both sides by 1.15
p = 23/1.15
p = 20
Therefore, the cost of the dinner = $20
Simplify the following problem, explaining each step.
13 - 4(x - 5)
Example: 4x - 3 + 2x - 6
Step Explanation
1. 6x - 3 Add 4x and 2x BECAUSE they are like terms (same variable)
a) What are the important key words or information needed from this problem?
Answers
Answer:
[tex]33 - 4x[/tex]
Step-by-step explanation:
Given the term to be solved by explaining each step:
[tex]13 - 4(x - 5)[/tex]
First of all, the bracket will be solved as per the BODMAS rule.
The bracket term is:
[tex]4(x-5)[/tex]
Now, 4 will be multiplied with [tex]x[/tex] and -5.
i.e.
[tex]4(x-5)=(4\times x-4\times 5)\\\Rightarrow (4x-20)[/tex]
Now, let us put the value back in the original expression.
[tex]13 - 4(x - 5) = 13-(4x-20)[/tex]
Now, let us remove the bracket, negative sign will be multiplied with both i.e. [tex]4x[/tex] and -20
[tex]\Rightarrow 13-4x+20 (\because[/tex] negative multiplied with negative makes positive term)
Now, 13 and 20 are like terms, they will be added.
[tex]\therefore[/tex] the expression is equivalent to :
[tex]\bold{33-4x}[/tex]
Plz help ASAP WILL MARK BRAINLIEST
Answers
Answer:
B.
Step-by-step explanation:
3/5 = 0.6
11/26 = 0.423
Answer:
b
Step-by-step explanation:
3/5 ⇒0.6
11/26⇒0.423
option a is wrong as
0.6 is not less than 0.432
option b is correct as
0.6 is greater than 0.4
option c is wrong as
0.6≠0.432
Given the following: f(x)=30x-7;\;g(x)=13-2x;\;and\;h(x)=6xf(x)=30x−7;g(x)=13−2x;andh(x)=6x Complete the following: f(g(x))f(g(x)) 60x-39260x−392 33-6x33−6x -60x+383−60x+383 390-13x390−13x
Answers
The composite of functions f(x) and g(x) is given by:
[tex](f \circ g)(x) = -60x + 383[/tex]
What is a composite function?The composite function of f(x) and g(x) is given by:[tex](f \circ g)(x) = f(g(x))[/tex]
In this problem, the functions are:
[tex]f(x) = 30x - 7[/tex]
[tex]g(x) = 13 - 2x[/tex]
Hence, the composite function is:
[tex](f \circ g)(x) = f(g(x)) = f(13 - 2x) = 30(13 - 2x) - 7 = -60x + 383[/tex]
You can learn more about composite functions at https://brainly.com/question/17684028
What wiuld the abwser be to (-x=20) pls show work
Answers
Answer:
x=-20
Step-by-step explanation:
Just put the x on the other side of the equation
The graphic organizer represents the sets of all rational numbers. What could be the value of A
Answers
Answer:
The correct option is;
B) 0
Step-by-step explanation:
Under the set of all rational numbers, there is the set of integers, which is a subset the set of rational numbers. Within the set of integers we have the set of whole numbers which is a direct subset of the set of integers. Within the set of whole numbers there is the set of natural numbers which is a direct subset of the set of whole numbers
Natural numbers are the numbers with which ordering and counting is made consisting of only positive whole number which according to ISO 80000-2 begin with 0, to give the natural numbers as 0, 1, 2, 3, .....
Answer: Its B.) 0
Step-by-step explanation:
Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help!
Answers
Answer:
x + y + z = - 22
Step-by-step explanation:
Reciprocal of a : - 6,
Reciprocal of b : 2
Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.
Respectively if y is the product of the reciprocals of a and b, it will be - 6 [tex]*[/tex] 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,
z = 2(- 6) / 2
= - 12 / 2 = - 6
And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.
Find the area of the parallelogram.
a. 70cm
b. 80 cm
c. 224 cm
d. 60 cm
Answers
Answer:
c. 80 cm
Step-by-step explanation:
Area of a parallelogram = base × height
A = 16 cm × 5 cm
A = 80 cm
Answer:
b. 80 cmStep-by-step explanation:
[tex]Base =16\\Height =5\\Area = Base\times Height\\= 16 \times 5\\= 80cm[/tex]
Does anyone know this?
Answers
Answer:
Hey there!
The domain is the range of all the x values.
Thus, the domain would be from -3 to 5 and would be written as -3≤x≤5.
Let me know if this helps :)
What are the coordinates of graphs origin?
Answers
Answer:
nose que sad es tu vida
Step-by-step explanation
.:{
7n +9 = -1+6(n+4)
can someone walk me through this please?
Answers
Answer:
n = 14
Step-by-step explanation:
7n +9 = -1+6(n+4)
Distribute
7n+9 = -1 +6n+24
Combine like terms
7n +9 = 6n +23
Subtract 6n from each side
7n -6n+9 = 6n-6n +23
n+9 = 23
Subtract 9 from each side
n+9-9=23-9
n = 14
Easy points. 52 x 7?
Answers
Answer:
364
Step-by-step explanation:
2✖️7=14
5✖️7=35
because 14 is two digits, you move the one and plus it to 35 which makes 36.
Leave the 4, and it becomes 364.
Answer:
[tex]\Huge \boxed{364}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
52 × 7
52 = 50 + 2
50 × 7 = 350
2 × 7 = 14
Adding 350 and 14,
350 + 14 = 364
[tex]\rule[225]{225}{2}[/tex]
Amelia and Joey decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Amelia went first and landed 3 arrows in the outer ring and 3 arrows in the bull's-eye, for a total of 267 points. Joey went second and got 4 arrows in the outer ring and 3 arrows in the bull's-eye, earning a total of 281 points. How many points is each region of the target worth? The outer ring is worth ____ points, and the bull's-eye is worth ____ points.
Answers
Answer:
outer ring worth 14 pts
bull's-eye worth 74.333333 pts
Step-by-step explanation:
let the worth point of landing an arrow on the outer ring be "x" and on bull's eye be "y"
For amelia
[tex]3x + 3y = 267[/tex]
For joey
[tex]4x + 3y = 281[/tex]
subtracting the first equation from the second
[tex]x = 14[/tex]
[tex]3x + 3y = 267[/tex]
[tex]42 + 3y = 267[/tex]
[tex]3y = 223[/tex]
[tex]y = 74.333[/tex]
What’s the answer to this ???
Answers
Answer:
m<PKN = 270 - m<JKP
Step-by-step explanation:
m<JKM + mMKL + m<LKN = 90 + 90 + 90 = 270
m<PKN + m<JKP = 270
Let me know if you can answer these :)
Answers
Answer:
10. 285
11. [tex]6\frac{3}{4}[/tex]
16.a. Stiles Family
Reason-The Styles family uses twice as much as the other two, because the electric consumption per person (which is =745 KWh) is much higher than the other two.
16.b. Mendelez family
Reason-The Mendelez family uses the least amount of water, because the water usage per person (which is =875 gallons) is much lower than the other two.
Step-by-step explanation:
10. In 6 mins, no. of machine parts produced = 114
in 1 min, no. of machine parts produced = 114/6
in 15 min, no. of machine parts produces [tex]\frac{114 *15}{6}\\=285[/tex]
---------------------------------------------------------------------------------------------------------
11. To make 8 jumbo muffins take, amount of baking powder used = [tex]1\frac{1}{2} =\frac{3}{2}[/tex]
To make 1 jumbo muffin, amount of baking powder used = [tex]\frac{3}{2} / 8[/tex] =3/16
To make 3 dozens = (3 * 12 )= 36 muffins, amount of baking powder used = 36 *3/16
[tex]=\frac{27}{4}[/tex] =[tex]6\frac{3}{4}[/tex]
-------------------------------------------------------------------------------------------------------------
16. a. Electricity consumed by 1 person in the Mendelez family :
=1560/4
=390 KWh
Electricity consumed by 1 person in the Barton family:
=2130/6
=355 KWh
Electricity consumed by 1 person in the Styles Family:
=1490/2
=745 KWh
The Styles family uses twice as much as the other two, because the electric consumption by 1 person is much higher than the other two.
------------------------------------------------------------------------------------------------------------
16.b. Water consumed by 1 person in the Mendelez family = 3500/4=875 gallons
Water consumed by 1 person in the Barton family = 6400/6=1050 gallons
Water consumed by 1 person in the Styles family =2500/2=1250 gallons
The linear equation y=45x describes how far tracy is as she drives from san francisco to dawson. Let x represent the number of hours and y represent the number of miles. How far from home is tracy in 12 hours
Answers
Answer: 540 miles
Step-by-step explanation:
plug in the numbers into the equation
multiply and ta-da
Answer:
540 miles
Step-by-step explanation:
y = 45(12) = 540
Find the value of x. A. 64 B. 244 C. 74 D. 52
Answers
Answer:
A. 64°Step-by-step explanation:
x = 360° - 2•90° - 2•58° = 64°
Maths Answers please
4p-p
Answers
Answer:
3pStep-by-step explanation:
4p - p = 4p - 1p = (4 - 1)p = 3p
3. The product of a rational number and an irrational number is always irrational except
when the rational number is 0.
Explain why
Answers
Answer:
This is because anything multiplied by zero is zero itself.
Step-by-step explanation:
Ex: Multiply
[tex] 2 \times \sqrt{2} [/tex]
Here 2 is rational and root. 2 is irrational.
Their product is
[tex]2 \sqrt{2} [/tex]
Which is irrational.
But if you have
[tex]0 \times \sqrt{2} [/tex]
Where 0 is rational and root .2 is irrational.
Their product is
[tex]0[/tex]
Whis is rational.
Hope this helps... :-)