[tex]y=2[/tex] ± [tex]\sqrt{28+4x}[/tex] is the equation that equals 2(x - 2)2 = 8(7 + y).
Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other. In most cases, a number's inverse refers to its reciprocal, or x - 1 = 1 / x. When a number is combined with its reciprocal, or inverse, the result is 1, or 1.
Considering the equation:
[tex]2(x-2)^2=8(7+y)[/tex]
Change the x and y variables.
[tex]2(y-2)^2=8(7+x)[/tex]
In terms of x, solve for y.
We have two sides, therefore divide them by two.
[tex](y-2)^2=4(7+x)[/tex]
Using the distribution property, [tex]a.(b+c)=a.b+a.c[/tex]
[tex](y-2)^2=28+4x[/tex]
Square-rooting both sides yields:
[tex]y-2=[/tex]±[tex]\sqrt{28+4x}[/tex]
our two sides plus two;
[tex]y=2[/tex]±[tex]\sqrt{28+4x}[/tex]
As a result, equation [tex]y=2[/tex]±[tex]\sqrt{28+4x}[/tex] is the opposite of [tex]2(x-2)^2=8(7+y)[/tex]
The complete question is:-
Which equation is the inverse of 2(x – 2)2 = 8(7 + y)?
Options:
–2(x – 2)^2 = –8(7 + y)
y= 1/4 x^2 -x -6
y= -2 +/- sqrt of 28+4x
y= 2 +/- sqrt of 28+4x
To learn more about the inverse, refer:-
https://brainly.com/question/13715269
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In a class library, 3 out of 4 books are non-fiction. The rest are fiction.
How many non-fiction books could there be? How many fiction?
The length of a rectangle is represented by the polynomial 2x^3-5x^2+8 and the width is represented by the polynomial x+3. Complete the following statements about the polynomial that represents the area of the rectangle
Answer:
Area = 2x^4 + x^3 - 15x^2 + 8x + 24
Step-by-step explanation:
A = (x + 3)(2x^3 - 5x^2 + 8)
A = 2x^4 - 5x^3 + 8x + 6x^3 - 15x^2 +24
combine like terms:
Area = 2x^4 + x^3 - 15x^2 + 8x + 24
HELLLLLLLPPPP PLZZZZZZZZZZZZ THIS IS A TEST
Answer:
76%= Decimal: 0.76 and proportion 76%
Step-by-step explanation:
Answer:
Decimal=0.76 proportion=76%
Step-by-step explanation:
19/25 let's find the decimal first
long division:
25|19
25 goes into 1, 0 times so;
0
25|19
-0
19
25 goes into 19 0 times so;
00.
25|19.0
-0
19
-0
190
25 goes into 190 7 times so;
00.7
25|19.00
-0
19
-0
190
-175
150
25 goes into 150 6 times so;
00.76
25|19.00
-0
19
-0
190
-175
150
-150
0
now 19/25 as a proportion;
19........x
---- = ------
25.....100
25*4=100 so 19*4=x
19*4=76 so x = 76
and 76/100=76%
Please help!! There are 700 seventh graders going on a field trip. There are 12 buses filled with students & 28 students riding with their parents. Create an equation using given information. No links please!
Answer:
the equation is 12x + 28x = 700
You make a scale drawing of a tree using the scale 5 in. =27 ft. If the tree is 67.5 ft tall, how tall is the scale drawing?
A.) 10 in
B.) 11.5 in
C.) 12 in
D.) 12.5 in
Determina la probabilidad que tiene de ganar, una persona que apuesta a los números 13, 14, 17, 35, 39, 54
Respuesta:
1/6
Explicación paso a paso:
La probabilidad es la probabilidad o probabilidad de que ocurra un evento. Se expresa como;
Probabilidad = Resultado esperado / Resultado total
Dado que la puntuación total de la muestra es 6 (13, 14, 17, 35, 39, 54)
Resultado total = 6
Dado que vamos a encontrar la probabilidad de ganar,
Puntuación ganadora = 54 (solo un resultado)
Resultado esperado = 1
Sustituir
Probabilidad de ganar = 1/6
Can someone please help me?
Answer:
Isosceles!
Hope this helped!
HHHEEEEEEELLLLLLPPPPP quickly
Answer:
x-intercept and y-intercept are both 0
the domain (x) is [-4, 4]
the range (y) is [-4, 4]
Please I really need someone to help
Answer:
Step-by-step explanation:
so a rhombus is two triangles put together, the area of a triangle is 1/2 b*h and since we've got two it's 2 ( 1/2 b * h ) so then it' just b * h
will be the area of the rhombus.
the base is WY = 24 the height is 1/2 XZ = 30 so 15
24*15 = 360
HELPPPPPP (WORTH 20 POINTS)
Please hurry. !!!!!!!!!!!
Answer:
Answer is option B
B : [tex]x^{2/3}[/tex]Mark brainliest for further answers
Answer:
x^(2/3)
Step-by-step explanation:
PLEASEE HELPPP 49 points
Answer:
bimodal 16 and 23
Step-by-step explanation:
mode is the highest frequency
Answer:
16 and 23 b/c they both appear two times and the most often.
Step-by-step explanation:
mode is the value that appears most often in a set of data.
Solve for t in the expression 16/t when t = 4.
please help!!
Answer:
x=16/t
t=4 so
16/4 = 4
4 is your answer.
Can someone help me with this. Will Mark brainliest.
Answer: True!
Step-by-step explanation: Rhombuses are like squares with an 4 equivalent sides!
hope this helped have a nice day ! :)
I need some help pls
I need help with this! Which one is it?
Answer:
82 degrees
let the point where the lines cross be E
ABD angle is 108 / 2 = 54 degrees
CAB angle is 56 / 2 = 28 degrees
the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82
BRAINLY TO WHOEVER CAN HELP ASAP
Answer:
D
Step-by-step explanation:
Dilating something makes it become bigger. Leading to a larger area and perimeter
Please help with this
Answer:
A= 347.65 B= 43.5
Step-by-step explanation:
A : 347.65
B : 43.5
244.5
+ 1 0 1. 1 5
= 347.65
68.2
- 24.7
= 43.5
What is an equation of the line that passes through the points (7, 4) and ( -5, 4)?
Answer:
y = 4
Step-by-step explanation:
To find the slope, you plug the coordinates into the slope formula.
y2 - y1/ x2 - x1
= 4 - 4/ -5 - 7
= 0
The slope is 0.
To find the y-intercept, y = 0x + b
4 = 0(7) + b
4 = 0 + b
4 = b
The equation is y = 4
please help me with math
no links i will report
no random answers please i really need help
find measure of CDE
Answer:
CED = 172°
Step-by-step explanation:
CDE = 360° - 35° - 50° - 103°
CDE = 172°
Can someone help me with this ASAP quickly please.
WILL REPORT IF YOU PUT A LINK
Gina bought three packets of crisps. She received $1.40 change from $5.00.
What is the cost of each packet?
Answer:
Each packet cost $1.20
Step-by-step explanation:
$5 - $1.40 = $3.60
Divide $3.60 by 3 and you get $1.20.
Which mixed number represents point D?
A)3 1/10
B)2 9/10
C)2 10/10
D) 3 2/10
Answer:
1/10
Step-by-step explanation:
what is the x-intercept of the graph 4x-6y=12
Answer
x=3 or (3,0) and if you need it y=-2x+3
Step-by-step explanation:
I'm not very good at explaining things, sorry
Practice identifying reflectional and rotati Which letters have 2 or more lines of symmetry? Check all that apply. here's the better one
Answer:
O, H, X
Step-by-step explanation:
i did this on edg hope this helps
Answer:
O H X
Step-by-step explanation:
pls help I can't get it
Answer:
30
Step-by-step explanation:
Solve for the hypotenuse for the bottom triangle (a^2+ b^2=c^2). You should get 40. After solving that you should be able to solve for c in the top triangle which should get you 30.
3(x-2)+4(x-2)-5(x-2)
Answer:
2x - 4
Step-by-step explanation:
Help me with this please!!
Let,
Midpoint of CD be (x,y).
WKT,
[tex]\boxed{\sf{(x,y) = \frac{X_1+X_2}{2},\frac{Y_1+Y_2}{2}}}[/tex]
[tex]→\;{\sf{\frac{-7+3}{2},\frac{2+12}{2}}}[/tex]
[tex]→\;{\sf{\frac{-4}{2},\frac{14}{2}}}[/tex]
[tex]→\;{\sf{-2,7}}[/tex]
The Midpoint of CD ◕➜ [tex]\Large{\red{\mathfrak{(-2,7)}}}[/tex]
Let,
The centre be O
Radius = CO & OD
Here, C = (-7,2) → [tex]\sf{(X_1,Y_1)}[/tex]
O = (-2,7) → [tex]\sf{(X_2,Y_2)}[/tex]
[tex]\boxed{\sf{Distance = \sqrt{(X_2-X_1)²+(Y_2-Y_1)²}}}[/tex]
[tex]→\;{\sf{\sqrt{(-2+7)²+(7-2)²}}}[/tex]
[tex]→\;{\sf{\sqrt{5²+5²}}}[/tex]
[tex]→\;{\sf{\sqrt{25+25}}}[/tex]
[tex]→\;{\sf{\sqrt{50}}}[/tex]
[tex]→\;{\sf{5√2 (or) 7.07}}[/tex]
Radius of Circle ◕➜ [tex]\Large{\red{\mathfrak{7.07}}}[/tex]
Option D.Hope It Helps You ✌️
What is the area of this trapezoid?
Enter your answer in the box.
Answer:
88
Step-by-step explanation:
Answer:
88 units^2
Step-by-step explanation:
lcm of 4,3,6
Pls tell
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
What is the rate of change between (-32,0) and (-31,2)