Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing vertex? ( , ) b. Find the area and perimeter of the rectangle. Area = square units Perimeter = units
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
[tex] B_{x} - A_{x} = 7 - 4 = 3 [/tex]
Hence, the distance of point D from point C in the x-direction is:
[tex] D_{x} = C_{x} + 3 = 4 + 3 = 7 [/tex]
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
[tex] C_{y} - A_{y} = 8 - 2 = 6 [/tex]
Then, the distance of point D from point B in the y-direction is:
[tex] D_{y} = B_{y} + 6 = 2 + 6 = 8 [/tex]
Therefore, the coordinates of the missing vertex (point D) are:
[tex] D = (D_{x}, D_{y}) = (7, 8) [/tex]
b) The area of the rectangle is:
[tex] a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2} [/tex]
The perimeter is given by:
[tex] p = 2*(3 + 6) = 18 units [/tex]
I hope it helps you!
if h hours and 20 minutes is equal to 380 minutes. What is h?
Answer:
3 hours
Step-by-step explanation:
Answer:
h = 6
Step-by-step explanation:
60*6 = 360
360+20 = 380 BD
Can you answer these 2 questions??
4x-9=2x+5..solve for X..Help?
Answer:
x = 7
Step-by-step explanation:
4x - 9 = 2x +5 add 9 from both sides
4x = 2x +14 subtract 2x from both sides
2x = 14. divide both sides by 2
x = 7
Answer:
x = 7
Step-by-step explanation:
Rewrite equation
4x - 9 = 2x + 5
Add 9 on both sides
4x -9 +9 = 2x + 5 + 9
Simplify
4x = 2x + 14
Subtract 2x on both sides
4x - 2x = 2x + 14 - 2x
2x = 14
Finally divide both sides by 2
2x/2 = 14/2
x = 7
Hope this helps :)
Ellie invested $13,000 in an account paying an interest rate of 8.25% compounded
continuously. Daniel invested $13,000 in an account paying an interest rate of 8.5%
compounded daily. After 18 years, how much more money would Daniel have in his
account than Ellie, to the nearest dollar?
Answer:
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
Rate 1: 8
4
1
%=8+1/4=
8.25
%
→
0.0825
8.25%→0.0825
Rate 2:
8
1
2
%
=
8
+
1
/
2
=
Rate 2: 8
2
1
%=8+1/2=
8.5
%
→
0.085
8.5%→0.085
Calculate Final Amount for Ellie
Calculate Final Amount for Ellie
‾
Calculate Final Amount for Ellie
Compounded Continuously:
Compounded Continuously:
A
=
P
e
r
t
A=Pe
rt
P
=
13000
r
=
0.0825
t
=
18
P=13000r=0.0825t=18
Given values
A
=
13000
e
0.0825
(
18
)
A=13000e
0.0825(18)
Plug in
A
=
13000
e
1.485
A=13000e
1.485
Multiply
A
=
57394.5504
A=57394.5504
Use calculator (with e button)
Calculate Final Amount for Daniel
Calculate Final Amount for Daniel
‾
Calculate Final Amount for Daniel
Compounded Daily:
Compounded Daily:
A
=
P
(
1
+
r
n
)
n
t
A=P(1+
n
r
)
nt
Compound interest formula
P
=
13000
r
=
0.085
t
=
18
n
=
365
P=13000r=0.085t=18n=365
Given values
A
=
13000
(
1
+
0.085
365
)
365
(
18
)
A=13000(1+
365
0.085
)
365(18)
Plug in values
A
=
13000
(
1.0002329
)
6570
A=13000(1.0002329)
6570
Simplify
A
=
60025.6058
A=60025.6058
Use calculator
How much more money Daniel has:
How much more money Daniel has:
60025.6058
−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar−
57394.5504
60025.6058−57394.5504
2631.0554
2631.0554
$
2631
$2631
Round to the nearest dollar
Step-by-step explanation:
How can I solve "Ella is building a rabbit pen. The area of the rabbit pen is 50 square feet.
Each rabbit needs at least 4 square feet of space. How many rabbits can
the pen hold?"
Answer:
12.5 rabbits
Step-by-step explanation:
So I guess I would say 12
3(x+5)^2-12=0. What does x equal
Answer:
x=−3 or x=−7
Step-by-step explanation:
Let's solve your equation step-by-step.
3(x+5)2−12=0
Step 1: Simplify both sides of the equation.
3x2+30x+63=0
Step 2: Factor left side of equation.
3(x+3)(x+7)=0
Step 3: Set factors equal to 0.
x+3=0 or x+7=0
x=−3 or x=−7
Answer: x=-3 and x=-7
work is in the attachment provided.
AA, SAS, SSS or not similar ? help pls
I think SAS .,................
Study the Expression
6x? - 112 - 10
Factor completely. Give your answer as a expression in factored form.
POSSIBLE POIN
0110000 Word
6
7
8
9
10 11 12 13 14
Step-by-step explanation:
= 6x² - 11x - 10
= 6x² + 4x - 15x - 10
= 2x (3x + 2) - 5 (3x + 2)
= (2x - 5) (3x + 2)
__________________x = 5/2 & -2/3
__________________FOLLOW MEidiixixixjdjdodjdjdijxdjdjj
Answer: 41
Step-by-step explanation:
You need to subtract the 82 by the 41 so 82-41 then you would find the missing part. Or you could add 4 to the 4 to make 8 and then add the 1 to the 1 to get 2
Walid is four times as old as Sami . Five years ago,
Walid was 7 times old as Sami . How old is Walid and how old is Sami ?
Answer:
he is11 years old cause when he was 1 walked was 5
Marking brainliest!
Why is it important to learn about the Dust Bowl in 2021?
Answer:
Why was the Dust Bowl significance?
The massive dust storms caused farmers to lose their livelihoods and their homes. Deflation from the Depression aggravated the plight of Dust Bowl farmers. Prices for the crops they could grow fell below subsistence levels. In 1932, the federal government sent aid to the drought-affected states.
Step-by-step explanation:
Answer:
The Dust Bowl has been the subject of many cultural works.The Dust Bowl was a period of severe dust storms that greatly damaged the ecology and agriculture.
this is correct answer
I hope it's helpful for you...
A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?
Answer:
A
Step-by-step explanation:
43560/360 = 121
131x15 = 1815 rocks per acre
1815 x 10 acres = 18150 rocks
It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...
Answer:
which question is it? and please take the picture from the top.
Step-by-step explanation:
And Also will answer in the replies.
PLEASE HELP IM TERRIBLE AT PERCENTAGES!!!
Answer:
sory bro i saw this question but i dont know answer
WILL GIVE BRAINLY!!!
Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?
Answer:
66.03 so 70
Step-by-step explanation:
since hypotunees has no value it cancels.
aso it leaves with an adjacent and oppisite
using trig function you will get
tan(x)=(9/4)
inverse tan to get x on its own
(x)=tan^-1(9/4)
put that on the calculater and you will get the angle
therefore
(x)=66.04 round it the nearest ten which is
70
plz help me my teacher is gonna come in 5 minutes and if she finds me on this imma get suspended
Answer:
42
Step-by-step explanation:
42 i think
maybe 5
.....................
Please help lol ....
Help please it’s algebra 2
Answer:
Please refer to the attachment
I need help fast!!!!
Answer:
B
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
What do u need help with
Step-by-step explanation:
A function C(x) = 8x + 15 represents the cost C. in dollars of producing x, T-shirts for
the marching band.
what would be the cost of producing 60 t shirts?
find the number of t shirts if c(x)=303
Answer:
The cost of producing 60 t-shirts is $495.
36 t-shirts will let the cost, C(x) = 303
Step-by-step explanation:
If we producing 60 t-shirts, then we plug in 60 for the x, which x represents t-shirts for the marching band.
C(x) = 8x + 15
C(x) = 8(60) + 15
C(x) = 480 + 15
C(x) = 495
If the cost of the t-shirts is 303, we plug in 303 for the cost,C(x).
C(x) = 8x + 15
303 = 8x + 15
288 = 8x
x = 36
which could be the value of x in the triangle below
Answer:
C, D
Step-by-step explanation:
In a triangle, the length of any side must be least than the sum of the lengths of the other 2 sides.
That means
3x < 19 + 6
3x < 25
x < 25/3
x < 8 1/3
Answer: C, D
Someone help me with this question
the answer is 7 because thats what photo math told me
Answer:
7
Step-by-step explanation:
(8+56)÷4-3^2
PEMDAS:
(64)÷4-3^2
PEMDAS:
(64)÷4-9
PEMDAS:
(16)-9
7
hope this helps
Find thw product of (x+3)(x-3)(x+7)
Answer:
x^3+7x^2−9x−63
Step-by-step explanation:
can i please have brainliest
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.
Answer:
1.5
Step-by-step explanation:
i’m so sorry but i don’t understand this at all
Answer:
Its a black image
Step-by-step explanation:
Hope that helped YEET
D
(3x +94)
Kx + 18)
(2x - 4)
B
A
O
The diagram is not drawn to scale.
O
x = 1
-。
Please help ASAP
Answer:
i cant answer this one, its waaaay too confusing for me
Step-by-step explanation:
Plz help fast will mark the brainiest!!!
PLEASE HELPPPPP!!!!!!!!!!!!!!! SHOW WORK
Answer:
17. A. 180 in²18. B. 234 in²Step-by-step explanation:
#17
Total surface area is:
A = 8(3*2 + 6*2) + 2(3*6) = 180 in²Correct option is A
#18
Total surface area is:
A = 2(9*9) + 4(2*9) = 234 in²Correct option is B