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
I had this function question that I just don't understand. Can someone explain it please
Answers
Answer:
oopsie delete this
Step-by-step explanation:
simplify : 3p+2p+8-3=15
Answers
Answer:
3p+2p+8-3=15
5p+5-15=0
5p-10=0
5(p-2)=0
(if you want to solve it p=2)
1÷2(2x+6)=4x-1
solve pls no links!!!
Answers
Answer:
Step-by-step explanation:
1 ÷ 2(2x+6) = 4x-1
[tex]\frac{1}{2(2x + 6)} = 4x -1[/tex]
[tex]\frac{1}{2*2x+2*6 } = 4x - 1 \\\\\frac{1}{4x + 12} = 4x - 1\\[/tex]
1 = (4x - 1)(4x + 12)
Use FOIL method.
1 = 4x * 4x + 4x *12 - 1 * 4x - 1*12
1 = 16x² + 48x - 4x - 12
1 = 16x² + 44x -12
0 = 16x² + 44x - 12 -1
16x² + 44x - 13 = 0
Due to construction delays on the trip from Little Rock to Chicago, a van driver averaged 48 miles each hour. About how long did that trip take?
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Write the equation
equation in standard form
X^2-1/X+1=2
Answers
Answer:
We start with the equation:
(x^2 - 1)/(x + 1) = 2
We want to rewrite this in standard form.
We can multiply both sides by (x + 1) to get:
((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)
x^2 - 1 = 2*(x + 1) = 2*x + 2
Now we can move all the terms to one side to get:
x^2 - 1 - 2 - 2*x = 0
x^2 - 2*x - 3 = 0
And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:
[tex]x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}[/tex]
Then the two solutions are:
x = (2 + 4)/2 = 3
x = (2 - 4)/2 = -1
Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?
Answers
Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has [tex]x[/tex] books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = [tex]x+24[/tex]
Ratio of their books = [tex]7:4[/tex]
Therefore,
[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]
Number of books with Mrs. Hall = 32
Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.
Answers
Answer:
See attachment for number line
Step-by-step explanation:
Given
[tex]Ian = \frac{6}{8}[/tex]
[tex]Anna = \frac{3}{4}[/tex]
Required
Number line to represent both amounts
The interval on the number line is 16.
So, we need to calculate the position of both as thus.
[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]
[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]
So, both will be positioned on the 12th position.
The yellow dot represents Anna while the blue dot represents Ian
See attachment for their position on the number line
Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times (17+9) 4 times ( 17-9)
Answers
Answer:
the answer is 4 × (17 - 9)
difference = 17 - 9
product 4 times
Which table shows a function with the same rate of change as the equation y = –30x + 200?
a)
x y
12 100
13 70
14 40
b)
x y
20 200
21 400
22 600
c)
x y
39 239
40 240
41 241
d)
x y
17 20
18 23
19 26
Answers
Answer:
x y
12 100
13 70
14 40
Step-by-step explanation:
The radius of a circle is 1 foot. What is the circle's area?
r=1 ft
Use 3.14 for .
square feet
Answers
Answer:
3.14ft²
Step-by-step explanation:
Area of a circle= πr²
= 3.14 x 1²
= 3.14 x 1
= 3.14 ft²
Chris is using the expression
m/8n
What is the value of the expression when m=4 and n=1/2
Answers
Answer:
1
Step-by-step explanation:
We plug in 4 for m and 1/2 for n.
[tex]\frac{4}{8(\frac{1}{2}) }[/tex] = [tex]\frac{4}{4}[/tex] = 1
Hope this helped!
please help question is in the picture
Answers
Answer:
tan ∅ = 15/8
Step-by-step explanation:
tan ∅ = 15/8
DUE TODAY!! Which number could be considered an outlier in the data set {3,5,6,8,24}?
6
3
5
8
24
Answers
Answer:
24
Step-by-step explanation:
all the other numbers are not that far in range from each other but 24 is way off so its the outlier
Which equation matches the hanger?
w - 1.4 = 2.7
1.4w = 2.7
w + 1.4 = 2.7
w/1.4 = 2.7
Answers
Answer:
W + 1.4 = 2.7
Step-by-step explanation:
W + 1.4 = 2.7
W and 1.4 are on one hand and 2.7 is on the other hand
I need a answer very very quick
Answers
3x10-2x3
3(10-2)
3 (100-2
3x98
=294
Side note- above the 10s put a little 2 above it so put a 2 above the ten in 3(10-2) and above the 10 in 3x10-2x3
A reflecting telescope contains a mirror shaped like a parabola of revolution. If the mirror is 16 inches across at its opening and is 2 feet deep, where will the light be concentrated?
Answers
Answer:
18
Step-by-step explanation:
Penny paid off a loan with a simple interest rate of 11.2% in 6 months. What was the APR?
11.2%
9.6%
22.4%
19.2%
5.6%
Answers
Answer: 19.2%
Step-by-step explanation:
APR= (2(n)(r))/(n+1)
APR= 2(6)(0.112)/(6+1)
APR= 19.2
n= number of monthly payments (6)
r= the rate (11.2% or 0.112)
The solution is Option C.
The annual percentage rate of Penny is 22.4 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
An APR is a number that represents the total yearly cost of borrowing money, expressed as a percentage of the principal loan amount.
Given data ,
Let the annual percentage rate be represented as A
Now , the value of A is
The simple interest rate R of Penny = 11.2 %
The time period of Penny n = 6 months
The annual percentage rate is calculated by = ( 12 x R ) / n
Substituting the values in the equation , we get
The annual percentage rate A = ( 12 x 11.2 ) / 6
The annual percentage rate A = 2 x 11.2
The annual percentage rate A = 22.4 %
Therefore , the value of A is 22.4 %
Hence , the annual percentage rate is 22.4 %
To learn more about annual percentage rate click :
https://brainly.com/question/22648762
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Determine the y intercept (8grade
Answers
Answer:
its 4
Step-by-step explanation:
The whole slope equation is y=3/4x+4
Which functions are correctly graphed?
Select all the correct answers
Answers
the second one, and the third one
According to the function Graph 2 , 3 and 4 are correctly graphed.
What are Functions ?It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
To determine which are the functions whose domain value match with that of the graph drawn ,
The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.
Graph 1 is not correctly graphed
Graph 2 , 3 and 4 are correctly graphed according to the function.
To know more about the function
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What is (4x5) + 6/3 + (9+5)?
Answers
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
4*5= 20
6/3 = 2
9+5= 14
20+2+14= 36
1. Express the function
f(x) = 2x² - 4x -13 in the the form
f(x) =a(x + h)² + k.
Answers
Here is my answer. I hope this is helpful.
please help
easy points
Answers
Answer:
its the fortnite man can i get brainlest plsss
Step-by-step explanation:
1.Type the missing number to complete the proportion.
5 pages in 1 day = ___________ pages in 7 days.
2.Type the missing number to complete the proportion.
7 chairs at 1 table = ___________ chairs at 9 tables.
3.Type the missing number to complete the proportion.
51 students fit on 1 bus = ___________ students fit on 8 buses.
Answers
Answer:
1. 35 pages in 7 days
2. 63 pages in 9 tables
3. 408 student on 8 buses
Step-by-step explanation:
a hot air balloon is floating in the atmosphere if a burst of hot air were blown up into that balloon which would most likely happen
1. The balloon would rise
2. The balloon would descend
3. The balloon would travel side ways
3. The balloon would remain in the same place pls help
Answers
simplify. draw a box. multiply the binomials together and simplify.
Answers
Answer:
D(last answer choice)
Step-by-step explanation:
(5x-6)(3x+4)
Foil it out to get:
[tex]15x^2+20x-18x-24[/tex]
This simplifies to:
[tex]15x^2+2x-24[/tex]
CAN SOMEONE PLEASE ANSWER 11,13,14,15 ?
MARKING BRAINLIST AND GIVING 50 PONITS . DONT ANSWER IF U DONT KNOW PLEASE .
Answers
Answer:
I gotchuThese are all fractions btw.11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
Step-by-step explanation: When you do these problems, it's fairly simple. just make sure you plug the numbers in the correct spots. having a calculator help a lot too!
Answer:
11. -9/32
12. -3/5
13. 4/7
14. 3/8
15. 3/4
those are you answers... you can mark the other guy brainliest i have enough
Step-by-step explanation:
Find the average of the following numbers:
2,4,6 and 8.
Pls help asap
Answers
Answer:
5
Step-by-step explanation:
( 2 + 4 + 6 + 8) / 4 = 5
Step-by-step explanation:
2+4+6+8=20
numbers of digits=4
average=sum of observation/numbers of observation
average=20/4=5
MARK ME AS A BRAINLIST, sister
la solución de una ecuación cuadrática representa los interceptos en x, cierto o falso?
Answers
Answer:
La respuesta es falso
Step-by-step explanation:
Espero que esto ayude a marcar el MÁS CEREBRAL !!!
find the area of the shape (round to nearest tenth if necessary )
Answers
Answer:
still
Step-by-step explanation:
still thinking sorry
plsss help i’ll give brainliest if you give a correct answer
Answers
Answer:
y=15
Step-by-step explanation:
Answer:
y=15
Step-by-step explanation:
To find y:
8y=120 –––Divide both sides by 8 so you can get y alone
y=15