The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.
Answers
Answer:
The answer is below
Step-by-step explanation:
The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:
[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]
Area = length * breadth
20 = 5 * breadth
breadth = 4 units
The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)
The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:
[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]
Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)
Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)
Related Questions
Rewrite as a product of two factors: 3 + 18d + 21y
Answers
Answer:
[tex] \huge { \red{\boxed{ \boxed{ \tt \: 3(1 + 6d + 7y)}}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:factoringlet's solve:in the following expression
everytime 3 is common
(3×1)+(3×6d)+(3×7d)
therefore if you take 3 from every expression we get
3(1+6d+7y)which is a product of two factors
Determinan las siguientes tablas muestran magnitudes directamente correlaciones o directamente proporcionales
Answers
Responder:
Los cuadros 89 y 91 presentan proporcionalidad directa
El cuadro 90 muestra una correlación directa.
Explicación paso a paso:
De la imagen adjunta:
Cuadro 89:
Para mostrar proporcionalidad directa:
y α x
y = kx; k = constante de proporcionalidad
Comprobando las tablas:
Cuadro 89:
A = 1,5; B = 3
B = kA; 3 = 1.5k
k = B / A
k = 3 / 1,5 = 2
Usando k = 2;
demuestre que B = 4 cuando A = 2; para establecer proporcionalidad directa.
B = 2 * 2 = 4
Por tanto, el cuadro 89 exhibe proporcionalidad directa
Comprobando las tablas:
Cuadro 90:
C = 2; D = 8
D = kC; 8 = 2k
k = 8/2 = 4
Usando k = 4;
demuestre que D = 9 cuando C = 3; para establecer proporcionalidad directa.
B
D = 4 * 3 = 12
De la tabla, D = 9;
Por tanto, el cuadro 90 presenta una correlación directa pero no una proporcionalidad directa.
Comprobando las tablas:
Cuadro 91:
E = 1; F = 1/2
F = kE; 1/2 = k
k = 1/2
Usando k = 1/2;
demuestre que F = 3/2 cuando E = 3; para establecer proporcionalidad directa.
F = 1/2 * 3 = 3/2
Por tanto, el cuadro 91 presenta proporcionalidad directa.
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Jordan earns $11.35 per hour and works 40 hours per week. He then earns a 20% pay raise. How mu
ch money will Jordan now make each week?
Answers
Answer:
He would be making 544.8$ each week
Step-by-step explanation:
Find the interest earned from an investment of $14000 for 4 years at an interest rate of 6.85% compounded continuously. Round to the nearest cent.
Answers
Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)
Answers
Answer:
18
Step-by-step explanation:
Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)
What is categorical data
Answers
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answers
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
Need help please! I added a picture for the question need help ASAP!
Answers
Answer:
36%
Step-by-step explanation:
Tried it with 100 as a base and got to 36. Should be right :)
Answer:
He had not sold 90%
Step-by-step explanation:
make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%
If an object is projected upward with an initial velocity of 64ft per second from ground level, then its height in feet t seconds after it is projected is a function defined by: h(t)= -16t^2 + 64t. how long after it is projected will it be 48 feet above the ground?
Answers
Answer:
not sure
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, UV = 6.2 feet, and WU = 1.2 feet. Find the measure of ∠V to the nearest tenth of a degree
Answers
Answer:
11.2
Step-by-step explanation:
The answer is 11.2 degree
PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?
Answers
Answer:
C
Step-by-step explanation:
Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅
We come up to the conclusion of C
what is the product of 4(y)= and
4(5)=
pls answer fast
Answers
Step-by-step explanation:
4(5) is 20 bit im not sure exactly what your other question is asking!!?
Find the coordinates of the center of this circle: (x - 9) ^ 2 + (y + 4) ^ 2 = 16
Answers
Answer: center is (9, -4)
Step-by-step explanation:
50 points. Can someone draw me the diagram.
If someone can draw it for me I'll be able to finish the rest myself. I'm just confused about what it is I'm supposed to draw. The directions are in the picture.
Answers
Answer:
*screenshot
Step-by-step explanation:
I tried my best drawing digitally
Nigel has 66 pens kat has 1/3 of the number of pens Nigel have calculate the number of pens that have altogether
Answers
Then you would add 66+22=88
They have 88 pens altogether
Hope this helps :)
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answers
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate
Answers
Answer:
The answer is "Choice A"
Step-by-step explanation:
Please find the numbering of the question in the attached file.
Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.
Please help me with this.
Answers
Answer:
105
Step-by-step explanation:
PLEASE HELP ASAP
Two lines intersect in the figure.
What is the value of x?
Answers
Answer:
x=17°
Step-by-step explanation:
5x+6=91 (vertically opposite ∠'s equal)
5x= 91-6
5x= 85
x= 85/5
x= 17°
Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
$
Answers
Answer:
$35
Step-by-step explanation:
Answer:
he has $35 left
Step-by-step explanation:
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answers
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
Learn more about word problems here:
https://brainly.com/question/25693822
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
Answers
mathematical literacy
[tex]79 \times 85[/tex]
Answers
Answer:
6715
Step-by-step explanation:
I hope this helps, :)
HELLLL I’ll give Brainlist
Answers
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answers
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
WILL GIVE BRAINLY IF CORRECT
A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.
Answers
Answer:
(-3-1)^2+(0+3)^2=r^2
radius is 5 units
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2
We know values of all variables except r at the moment.
h is the x-coordinate of the center of the circle, and k is the y-coordinate.
x and y are coordinates of a point the circumference touches.
From there, just plug in the numbers and solve!
please help!!
Find the value of x.
Answers
Answer:
x = 4
Step-by-step explanation:
2(8x) = 64
x = 4
There are 10 marbles in a bag : 5 red and 5 blue she draws a marble from the bag at random. The marble is red. She put the marble back into the bag. What is the probability that next marble she draws at random is red ?
Answers
Answer:
1/ 2
Step-by-step explanation:
Given that:
Number of marbles, = 10
Number of Red marbles = 5
Number of Blue marbles = 5
Probability, p = required outcome / Total possible
Probability of picking a red marble :
Required outcome = number of red marbles = 5
Total possible outcomes = total number of marbles = 10
Hence,
Probability of picking a red marble, P(picking a red marble) = 5 / 10 = 1/2
Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Answers
Step-by-step explanation:
babababababababbababavavabababababa
the product of two and a number, divided by five
Answers
Answer:
10
Step-by-step explanation:
2×5=10.
10÷2=5
That should be the answer.