Answer:
b
Step-by-step explanation:
Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]
Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
PLEASE I NEED HELP ASAP. WILL GIVE BRAINLIEST.
A family wishes to determine the distance from their home to the nearest park. On a coordinate grid, the house sits at (0, 0), and the park at (16, 11). Using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
components: (16,11), distance: 19.42 yards O components: (16,11), distance: 194 16 yards O components: (120,110), distance: 19.42 yards O components: (160,10), distance: 194.16 yards
Answer:
components: LeftAngleBracket 16, 11 RightAngleBracket distance: 194.16 yards
Step-by-step explanation:
get her done!!! Correct on Edge 2020
The vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards. So, option A is correct.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
In order to find the length of a point to another point that has different y and x points, we will use the pythagorean theorem
(a^2 + b^2 = c^2)
Here, 16 and 11 are the distances from her house,
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
Now, we have to convert this to yards;
19.416 x 10 = 194.16 yards
Hence, the vector represents the path from the house to the park is components: {16,11} and actual distance between them is 194.16 yards.
So, option A is correct.
Learn more about Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
Hi I need help can you guys look at the screenshots thanks if the answer is correct I will give Brainliest if the answer is correct.
Answer:
D. -60 + (-30) = -30
Step-by-step explanation:
Put the word problem into an equation: -60 + (-30) = -30
I hope this helped, please mark Brainliest, thank you so much!!
Find the value of 4x2 – 2y when x = 3 and y = 2.
Answer:20
Step-by-step explanation:
4(3)2-2(2)
12(2)-4
24-4=20
Function g is represented by the graph. For what input value or values is g (x) = 4?
Answer:
-2 and 2
Step-by-step explanation:
When you look at the graph, you see that the line is in a U shape. We are trying to see what the value of g(x)=4. Since g is represented by the graph, the equation equals 4. The 4 in the equation is positive so you would look at the graph for a positive 4. There are 2 positive 4's on the graph; one on the x axis and one on the y axis. If you look at the U-shaped line, you see that it passes the 4 on the y axis. (the point -2,4 has the 4 as y and the point 2,4 has 4 as y). This makes the answer -2 and 2 because both the numbers have 4 as the y when you put them as points.
Pedro and John are going on a field trip with school. Together the boys have $62 to spend on the trip. If Pedro has $15 more than John, how much money does John have? Write a function rule (equation) that represents the situation.
Answer:
John has $23.5Step-by-step explanation:
Step one:
we are told that their joint amount is $62
let John's amount be x
and Pedro's amount be y
so that y=x+15
Step two:
The equation to represent the situation is
62=x+(x+15)
open the bracket and solve for x we have
62=x+x+15
62=2x+15
2x=62-15
2x=47
divide both sides by 2
x=47/2
x=23.5
John has $23.5
What is the equation of a line that passes through the point (−2, 5) and has a slope of zero
Answer:
y= -2/5x
Step-by-step explanation:
PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
This is the last one, can u help me
Answer:
B
Step-by-step explanation:
Answer:
B) SAS
Step-by-step explanation:
The side is marked equal, they are both 90 degrees and they share a side. Side Angle Side.
if two people were to go to the movies and share the cost of what they paid. how much would they both pay? $2 for snacks $13 for the tickets. p.s. it could be a decimal of fraction ig
Answer: $7.50
Step-by-step explanation: they spent 15 n if they split that it’s 7.50
-2x-5=4 solve for x and please tell me how you got it
Answer:
x = -9/2 or -4.5
Step-by-step explanation:
-2x-5=4
Add 5 to each side
-2x-5+5=4+5
-2x = 9
Divide each side by -2
-2x/-2 = 9/-2
x = -9/2 or -4.5
Which is the correct decimal representation of 13/40
Answer:
.325
Step-by-step explanation:
Answer:
0.325 is a decimal
Step-by-step explanation:
Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?
Answer:
207
Step-by-step explanation:
9ft=3yrds
3x69=207
please help I will mark you brainalist
Answer:
EASY. y = 4/7x+3
Step-by-step explanation:
PLZ HELP! WILL MARK BRAINLIEST!! The graphs of linear functions f and g are shown on the graph. Which function is best represented by the graph of g?
A. g(x) =f(x)-4
B. g(x) = 1/3 f(x)
C. g(x) = f(x)-2
D. g(x)=3f(x)
Answer:
B
Step-by-step explanation:
f(x)=x (slope is 1, y-intercept is zero)
g(x) = (1/3)x (slope is (1/3), y-intercept is zero)
(1/3)x = (1/3)f(x)
Answer:
B
Step-by-step explanation:
as u notice the slop of f function is higher than g function so g(x) is approximately one third of function f and there are no shifts in g(×) so no need for sum of subtract .
The sum of the squares of three consecutive integers is 50. Find the integers. (Hint: If one integer is x, the next consecutive positive integer is x + 1, and the third is x + 2. Simplify your answers completely. Enter your answers as a comma-separated list.)
Answer:
There's two answers.
-5, -4, and -3
3, 4, 5
Step-by-step explanation:
[tex]x^{2} +(x+1)^{2} +(x+2)^{2} =50\\x^{2} +x^{2} +2x+1+x^{2} +4x+4=50\\3x^{2} +6x+5=50\\3x^{2} +6x-45=0\\3(x^{2} +2x-15)=0\\(x+5)(x-3)=0\\x = -5\\x = 3\\[/tex]
Make a table of values and graph the solutions of the given equation.
y= 2x + 1
Find y when x=1
3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;
Answer:
The correct options are presented as follows;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent
Step-by-step explanation:
The coordinate of the preimage point A = (-2, 1)
The coordinate of the image point A' = (2, 1)
Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)
Which is equivalent to a reflection across the y-axis
Similarly, we have;
The coordinate of the preimage point A' = (2, 1)
The coordinate of the image point A'' = (-1, 2)
Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)
Similar for points B and B', C and C'
Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent
Therefore, we have;
ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.
What is the area of the following trapezoid 210 280 420 140
Answer:
Step-by-step explanation:
A= a+b/2 h (area = a +b over 2 times H) plug in your numbers
I dont have a picture, if i did i could solve it, but here is the formula
47 multiplied by 6 is?
Answer:
282
Step-by-step explanation:
47*6=282
Forty seven six times.
A cell phone costs $750 and loses 28% of its value each year. What is the value of the phone after 2 years?
Answer:
210
Step-by-step explanation:
Percentage Calculator
The value of the phone after 2 years will be equal to $388.8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also represent the logical syntax's operation order and other properties.
Given that the cell phone costs $750 and loses 28% of its value each year. The value of the phone after 2 years will be,
The value of the phone after 2 years will be calculated as,
Cost of phone = 750 x ( 0.28 )²
Cost of the phone = $388.8
To know more about an expression follow
https://brainly.com/question/21538545
#SPJ2
(8+t)^3-6
t=2
(3 is an exponent)
The value is:
Answer:
994
Step-by-step explanation:
PEMDAS
Parentheses: 8+2 = 10
Exponents: 10^3 = 1000
Subtraction = 1000-6
= 994
if you need help with Math:)
Answer:
Thanks!
Step-by-step explanation:
I already have it on my phone tho lol
Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf, but does not want to put the Steelie and the Tiger next to one another. In how many ways can she do this?
Answer:
Step-by-step explanation:
Oops I meant "there are 3! = 6 ways to permute ABTS that have TS."
There are 12 different combinations to display marvel that doesn't involve Steelie and the tiger.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, Zara has a collection of 4 marbles: an Aggie, a Bumblebee, a Steelie, and a Tiger. She wants to display them in a row on a shelf but does not want to put the Steelie and the Tiger next to one another.
We want the number of ways to permute the string ABST that has S and T separated.
Total ways of displaying marbles = 4! = 24
If S and T are together, then the permutation contains the consecutive pair ST or TS somewhere. We can count these possibilities by regarding ST or TS as a single symbol
permutation of getting them together = 2 * 3!
permutation of getting them together = 12
Thus,
total desired combination = Steelie and tiger do not come together
total desired combination = 24 - 12 = 12
therefore, There are 12 possible combinations of displaying marvel without making Steelie and tiger together.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
#SPJ2
Which expression is represented by the diagram?
10 negative tiles. 4 are crossed out.
Answer:
6 tiles
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I took the test ;)
Q1)Complete the table of values of y=6/x
Q2)Which of A,B or C is the correct curve for y=6/x
I will give brainliest!!! Help pleaze
Answer:
Q1) 12, 2, 1.5, 1
Q2) I believe its C
Step-by-step explanation:
Hope it helps!
Answer:
1st question 12, 2, 1.5, 1
2nd question C
Step-by-step explanation:
Hope I helped
what cannot be rational??
Answer:
the 4th one
Step-by-step explanation:
which point satisfies the system of equations y = 3x - 2 and y = -2x + 3
1. A
2. B
3. C
4. D
Answer:
D
Step-by-step explanation:
One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many will most likely spend 5 hours at the gym this week?
Answer: 50
Step-by-step explanation:
From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.
Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:
= 1/3 × 150
= 50 people
Find the midpoint of the segment with the following endpoints.
(6, 4)(9,9)