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!
y=5x+2
4x−y=0
Is (2,12) a solution of the system?
Answer:
no the solution would be (-2, -8)
Step-by-step explanation:
i graphed both of the equations and found the solution <33
Answer:
(-2,-8) is correct
Step-by-step explanation:
4x = y
5x +2 = y
4x = 5x +2
-2 = x
y = 5×-2 + 2
=-8
( x , y )
The value of a stock increases by 8% each year.
1. Explain why the stock value does not increase by 80% each decade.
2. Does the value increase by more or less than 80% each decade?
Answer:
if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.
The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.
If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.
What is Percentage Increase?The degree to which a value increases expressed in percent form is known as percentage increase.
Given that, The value of a stock increases by 8% each year.
a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade
b) Since, (108%)¹⁰ > 80%
Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.
Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade
For more references on percentage increase, click;
https://brainly.com/question/27992848
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The radius of a circle is 15 in. Find its circumference in terms of \piπ.
Answer:
C≈94.25in
Step-by-step explanation:
which answer choice is equivalent to the expression (x+2)^2 - 6x+2?
a. x^2 - 2x+8x
b. x^2 - 2x+6
c. x^2 - 6x+4
d. -5x^2 +6
Answer:
(x+2)^2 - 6x+2
(x+2)^2 = (x+2).(x+2)
= x(x+2) + 2(x+2)
= xx + x2 + 2x +4 ( x2 = 2x)
= x^2+ 4x +4
(x+2)^2 - 6x+2
x^2+ 4x +4- 6x+2
x^2+ 4x - 6x+2 +4
x^2- 2x+2 + 6 (b)
Step-by-step explanation:
There are
questions on the Aspire English test.
A. 20
B. 65
C. 35
D. 50cc
Answer:
Answer is 50cc Number D
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3.4.2
Write as a single number. log464 + log536
Answer:
1000
Step-by-step explanation:
HELP DUE IN 2 MINUTES
Answer:
6
Step-by-step explanation:
add them all together which will get you 24
then divide by the number of months
24/4=6
slove for x for the triangle
Answer:
3x+2+36=110
3x= 110-38= 72
x= 72/3=24
Step-by-step explanation:
Please Help ASAP
Which value of x is a solution to this equation?
2x^2 - 4x + 16 = 0
A. X = 3
B. X = -2
C. X = -3
D. X = 2
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The discriminant is ...
b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112
A negative discriminant means there are no real solutions to the equation.
_____
The complex solutions are 1±i√7.
If we assume the equation has a typographical error and is intended to be ...
2x^2 -4x -16 = 0
The solutions are x = -2 and x = 4.
Hi! I cant figure this out... could someone please help me?
Answer:
Step-by-step explanation:
open circle on -4 and open circle on 4 and a line connecting them
Can someone help me pls
Answer:
x ≈ 16.6 units
Step-by-step explanation:
The angle between a tangent and the radius at the point of contact is 90° , so
Δ ABC is a right triangle at ∠ B
Using Pythagoras' identity in the right triangle
x² + 7² = 18²
x² + 49 = 324 ( subtract 49 from both sides )
x² = 275 ( take the square root of both sides )
x = [tex]\sqrt{275}[/tex] ≈ 16.6 ( to the nearest tenth )
Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?
Answer:
nice
Step-by-step explanation:
help help help pls pls
Answer:
x ≈ 7.1
Step-by-step explanation:
The circumference of this circle is 2πx.
65/360 of that circumference is said to be 8
so we can solve x from
65/360 · 2πx = 8
which can be simlified to
2πx = 8 · 360/65
πx = 288/13
x = 288 / (13π) ≈ 7.1
Tim has some marbles.
Sue has twice as many marbles as Tim.
Jim has 15 marbles.
Tim, Sue and Jim have the a total of 63 marbles.
How many marbles does Tim have?
which three sides best describe the triangle in the diagram?
??????????????????????
Answer:
I belive the answer would be the first one. 2^28 x 3^20 x 9^4
Step-by-step explanation:
This is becasue you need to multiply the power on the outside of the parenthesis, (4). 7 times itself 4 times is 28, 5 times itself 4 times is 20, and then use the 4 for the 9. Hope this helps!
38 divided by 8. Show ALL work for credit. NO WORK NO CREDIT
:((
Answer:
38 / 8 is 4.75
Step-by-step explanation:
Um I tried putting a photo of my work but it wouldn't let me sorry ;-;
Factor. x^2-2x-3 please
Answer:
(x+1)(x-3)
Step-by-step explanation:
i hope this helps :)
Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 cach What was the total amount o
commission he earned?
HELP......
the diameter of a circle is 8 ft. Find the circumferenceto the nearest tenth.
Answer:
25.1 ft
Step-by-step explanation:
To solve for circumference is pretty simple. Just use the equation 2pi r (r=radius, radius is diameter divided by 2).
So essentially, apply to your calculator:
2(3.14)4=25.12
pretty simple! hope this helps!
The sum of remote interior angels equals what?
Answer:
Each of the remote angles shares one side with the angle adjacent to the exterior angle. The equation means that the sum of measures of the remote interior angles is equal to the measure of the exterior angle of the triangle.
I will give you brainliest! Please help me
Answer:
A) 7x^5 + 2x^2 + 6
Step-by-step explanation:
I hope this helps.
Answer:
The answer is A
a tire rim has a diameter of 15 in what is the circumference of the tire rim use 3.14 answers 23.55, 46.10, 47.1, 94.2
Answer:
1. 70.84
2. 144.75
3. 147.89
4.295.89
Apply the distributive property to simplify -1/3 (12+30) . A. 14 B. 6 C. -13 D. -14
Answer: -14
(− 1/ 3 )(12+30)
= −1 /3 (12+30)
= −1/ 3 (42)
= −14
Answer:
I answered this on accident sorry
Step-by-step explanation:
Pls help me. Sorry, it's so easy.
Answer:
he bought 36 hot dogs
4 packs of hot dogs
3 packs of buns
Step-by-step explanation:
Answer:
He bought 36 hot dogs,4 packs of them, and 3 packs of buns
Step-by-step explanation:
The LCM (least common multiple) of 9 and 12 is 36 and 12*3=36 and 9*4=36 so they are even
Determine the quadrant in which the terminal side of theta lies.
Answer:
A) 2nd quadrant
B) 2th quadrant
Step-by-step explanation:
hope this helps have a nice day!!
Find the area of the deck
Answer:
Hmmm i would say 64 but its my opinon so also do lenghtxwidthxheight
Step-by-step explanation:
Answer:
448cm²
Step-by-step explanation:
See attached work
Can you help me how to do this question.
Answer: It should be the last one i think.
Step-by-step explanation:
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 3 unit and the width is Fraction 1 over 3 unit, what is the perimeter of the rectangle in units? (3 points)
Answer:
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2[2\3±1\3]
2×2\3=4\3
2×1\3=2\3
4\3±2\3=6\3
6\3 is the same as 2 because if you divide 6 by 2 you will get 2
so the answer is 2
Factor the expression using the GCF. Explain your reasoning using math
vocabulary.
24xy – 16y
Please help!
Answer:
8y(3x - 2)
Step-by-step explanation:
8y is the GCF so I divided it out and set it outside the parenthesis.