Answer:
7V3
In triangle ABC, the measure of angle A is 60°, the length of BC is 7V3, and the length of AC is 7V2.
Step-by-step explanation:
Solve the equation
(x/x+2) - (4/x-2) = 1
Answer:
[tex]\bold{x=-\dfrac23}[/tex]Step-by-step explanation:
[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]
The solution to the equation is x = -2/3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].
Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]
Hence, the solution to the equation is x = -2/3.
Learn more about equations here:
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This is a trigonometry question
Answer:
y = 8.49
Step-by-step explanation:
cos 45 = 6/y
0.7071 = 6/y
y = 8.49
geometry, god bless ur help!
Answer:
15 CM
Step-by-step explanation:
Both sides are same length proven by the same angles making botrh sides 15 cm
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
HELPPPPPPPPPP
The point (-10,4) is on the graph of which of these functions? Select ALL that apply.
===========================================================
Explanation:
We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.
------------------------------
A)
y = -x^2 + 6
y = -(-10)^2 + 6
y = -100 + 6
y = -94
We don't get y = 4, so we cross choice A off the list.
The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.
------------------------------
B)
y = (-1/2)*x - 1
y = (-1/2)*(-10) - 1
y = 5 - 1
y = 4
We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.
------------------------------
C)
y = (-1/10)*x - 3
y = (-1/10)*(-10) - 3
y = 1 - 3
y = -2
Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.
The point (-10,-2) is on the line instead of (-10,4)
------------------------------
D)
y = (1/10)x + 5
y = (1/10)*(-10) + 5
y = -1 + 5
y = 4
Choice D is one of the answers
------------------------------
E)
y = (1/5)*x^2 - 16
y = (1/5)*(-10)^2 - 16
y = (1/5)*(100) - 16
y = 20 - 16
y = 4
Choice E is one of the answers
------------------------------
An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.
Plz Help Cuz it Worth A Hunid Points
Answer:
1. 30
2. x<-72
3. 7b=63
4. x=3.2
5. 1/10
Step-by-step explanation:
1. Substitute a for 10
2(150/10)
2*15
30
2. Think of it like a normal equation
x/4<-18
x<-18*4
x<-72
3. 7b=63
4. 2.5x=8
x=3.2
5. 1/5*1/2= 1/10
(11 – 9)' – 2 x 4=
Please help
Answer: 2 − 8x
Step-by-step explanation:
Explain why the graph above represents a function.
laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise?
Answer:
16 robots make noise
Step-by-step explanation:
Simplify the expression please!!
4( -2p + 8)
Posting this here because why not, it's not like anybody will do it.
Answer:
1. 264
2. degree: 6, term: 3xy^5
3. -60x^3-2x^2+9x
4. 6mn^3-4m
5. 8x^3-4x+2
6. -x^2-6x-13
Step-by-step explanation:
PLEASE HELP! I REALLY NEED THESE ANSWERS!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).
a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum
Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation:
There are 5 white roses to every 9 red roses in the garden
Answer:
Step-by-step explanation:
ummm what there is no question!
When you square the square root of a number...
Answer:
the square root of a number is when you take a mole number and multiply it by itself in order to create a bigger number therefore some square roots would be 5 times 5 equals 25 therefore 5 is the square root of 25 so on and so forth
How to transfer 800g to kg
Answer: The answer is 0.8
Step-by-step explanation: Every gram is 0.001 of a kilogram
PLEASE HELP
factor 12n^2-n-20
Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.
You earned a 90% on a test if there are 30 questions how many did you answer correctly?
Answer:
27
Step-by-step explanation:
you can do cross multiplication
90/100 = x/30
100x=2700
x=27
Solve the equation: -29.5u+548=2,023
Answer:
U=-50
Step-by-step explanation:
What is the solution of the equation y + 7.63 = 12.001
Answer:
[tex]y = 12.001 + 7.63 = 19.631[/tex]
Hope it helps
Plssss helppppp!!!!!!!!!
Answer:
it is two because one apple plus one apple equals two
it is 2
I need help with this! I would like to have this answered in 5 hours if possible, 6 hours at max
Answer:
60 = 45 + t
Step-by-step explanation:
What is the range of f(x) = 2(x+3)^2 + 1?
Answer:
Range: [1, ∞)
Step-by-step explanation:
[tex]f(x)=2(x+3)^2+1[/tex]
Range: [1, ∞)
ltfdeyuhcfdgxtsrt867uojl,
Answer:
2q=8
q=4
Step-by-step explanation:
hope that helped you
Answer:
8q + 1 = 6q + 9
2q + 1 = 9
2q = 8
q = 4
Find the greatest common factor of 8m and 12m^3
What is the slope of this line?
2/3 1/3 -1/3 -2/3
Answer:
2/3
Step-by-step explanation:
Two points on this line are (0, -3) and (6, 1).
Going from the first to the second, we see a change in x of 6 units and a change in y of 4 units. The slope of the line is thus m = rise / run = 4/6 = 2/3
what is 5/9(fraction) turned into a decimal rounded to the nearest hundredth
Answer:
It will be 0.5 repeating so 0.555 because the 5 is repeating
9514 1404 393
Answer:
0.56
Step-by-step explanation:
5/9 is the repeating decimal fraction 0.55555...
Rounded to the nearest hundredth, it is ...
5/9 ≈ 0.56
What is the surface area for the figure? PLEASE HELP
Answer:
516 cm squared
Step-by-step explanation:
To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.
How do we do it?
Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula2(4 · 15) + 2(10 · 15) + 2(12 · 4)Saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account each week so a linear function models his plan. Mellissa made a similar plan. Compare the transactions
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Savings = \$500[/tex]
[tex]Withdrawal = \$12[/tex] weekly
Required
The question is incomplete as the linear function or table or graph of Melissa's plan is not given.
The available details can only be used to solve the function of the given individual
Let the number of weeks be w.
So: the amount left in w weeks is:
[tex]Amount = Savings - Withdrawal * w[/tex]
[tex]Amount = 500- 12* w[/tex]
[tex]Amount = 500- 12w[/tex]
Represent as a function
[tex]f(w)= 500- 12w[/tex]
To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]
[tex]f(5) = 500 - 12 * 5[/tex]
[tex]f(5) = 440[/tex]
A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .
Answer:
2x+30
Step-by-step explanation: