Answers
Answer: x=3
Step-by-step explanation:
First we're going to get rid of the fraction by multiplying both sides by the square root of x-2
Now square both sides
[tex](\sqrt{3x })^2=3^2(\sqrt{x-2 })^2\\3x=9(x-2)[/tex]
Next use the distributive property
[tex]3x=(9)(x)-(9)(2)\\3x=9x-18[/tex]
Now subtract 9x from both sides
[tex]3x-9x=9x-18-9x\\-6x=-18[/tex]
Finally divide -6 on both sides
[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\x=3[/tex]
Related Questions
how do i solve this problem
Answers
Answer:
5 sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin 45 = x / 10
10 sin 45 = x
10 ( sqrt(2)/2) =x
5 sqrt(2) =x
Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?
Answers
Answer:
-8 degrees Celsius is warmer
Answer:
-8 degrees C.
Step-by-step explanation:
Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
Answers
Answer:
I guess it would go
Ben did:+10
Gail:-8
Nathaniel:0
Step-by-step explanation:
hope this was what you wanted
best of luck
Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.
Answers
Answer:
Remember that tan=y/x from your notes from module 4.
Step-by-step explanation:
Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.
For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.
Answer:
-1/1
Step-by-step explanation:
what that two numbers when multiplied give 600 and when added give 59
Answers
Answer:
Step-by-step explanation:
Let the 2 numbers be x and y
From the problem we have that
x * y = 600 and x + y = 59
From x + y = 59 -> x = 59 - y
Plug x = 59 - y to x * y = 600 we have
(59 - y) * y = 600
-> 59y - y^2 = 600
-> -y^2 + 59y - 600 = 0
-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]
Then we could plug the answers in and find x because x = 59 - y
Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?
Answers
The answer would be (3,2) because you would do (x,-y)
Please help me no links!!
Answers
Answer:
Step-by-step explanation:
The line is parallel to y axis so
slope : undefined
y intercept : the line doesn’t intercept y axis
Equation : x = -6
3
Solve for x.
X =
8
20
35
Answers
Answer:
x=00
Step-by-step explanation:l
nnm
What is the MINIMUM of the data set: 35, 20, 30,25, 20?"
a. 15
b. 20
c. 35
d. 25
Answers
Answer:
B) 20
The minimum of a data set is the smallest term of that set.
We arrange the terms in ascending order
→ 20,20,25,30,35
So, the minimum is 20
--------------------------------
hope it helps...
have a great day!!
PLEASE HELP ME WITH THIS
Answers
9514 1404 393
Answer:
3. $0.45
4. 50%
5. -5°, -1°, 1°, -2°, 5°
Step-by-step explanation:
3. The difference in tip amounts is ...
15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45
Jasmine paid $0.45 more tip than Candice.
__
4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.
__
5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.
We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.
The low temperatures were ...
2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°definition of descartes
Answers
Answer:
French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)
Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle
Answers
Answer:
It’s blurry but I think it’s an obtuse triangle
Step-by-step explanation:
Maybe a right triangle
Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180
Answers
Step-by-step explanation:
Volume of cylinder: πr²h
= π(6)² x 15
= 36π x 15
= 1620 cm³
Answer: A
Answer:
B. 540 picm3
Step-by-step explanation:
(6)2 X 15= 540
Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6
Answers
Answer:
D is the answer to your question
Plzzz help I don’t have a lot of time
Answers
Answer:
7
Step-by-step explanation:
It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.
(8r-6)+(5r+5)=90
13r-1=90 (combine like terms)
13r-1+1=90+1 (add 1, addition property of equality)
13r=91
13r/13=91/13
r=7
please yelp me find the area
Answers
Split the shape into two. À and B
9 x 9 = 81. The area of shape A is 81.
Set that aside.
14 divided by 2 is 7. That is the height of shape B. the width is 9.
9 x 7 = 63
63 + 81 = 144.
Correct me if I’m wrong.
How many different ways may a set of 4 books be arraged side by side on a shell?
Answers
Answer:
24
Step-by-step explanation:
4 * 3 * 2 * 1 = 24
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.
Answers
Answer: -1
Step-by-step explanation:
Just took the test
,and the equation is y=-1x+5, so the change of x is -1
Answer:
The answer is -1
Step-by-step explanation:
What is the value of a?
Answers
Answer:
a = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex] (pythagoras theorem)
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex] (pythagoras theorem)
[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex] (pythagoras theorem)
From these 3 equations we can find the value of a
My mom is making me do prayice and i need the answer for this thanks very much
Answers
Find the volume of the triangular prism.
Answers
Answer:
33.55 m³
Step-by-step explanation:
volume is base area times height.
the base area is a right-angled triangle (a×b/2).
At = 2.5×4.4/2
the height is 6.1
the total volume is then
2.5×4.4×6.1/2 = 33.55 m³
if m<1 = 23^ and m<2 = 32^, find the measures of all other angles
Answers
Step-by-step explanation:
given,
m1=23°
m2=32°
m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°m3=m6{vertically opposite angle r equal}m6=125°m2+m3+m4=180°(straight angle)m4=180-157°m4=23°m3+m4+m5=180°{straight angle}m5=180-148°m5=32°hope it helps
stay safe healthy and happy....approximate 10.56 to the nearest whole number
Answers
Answer:
11.
Step-by-step explanation:
As the first decimal place is 5 we round up the whole number.
Answer:
11
Step-by-step explanation:
See image below:)
Can someone help me please
Answers
Answer:
C
Step-by-step explanation:
All others can be proved false.
(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call
Answers
Answer:
0.1739 = 17.39% probability of a successful call.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The odds of making a sale on a single call are 4 to 19.
This means that in 4 + 19 = 23 calls, 4 are successful.
What is the probability of a successful call?
[tex]p = \frac{4}{23} = 0.1739[/tex]
0.1739 = 17.39% probability of a successful call.
Identify which shapes are similar to shape A and which are not.
Answers
Answer: Shape 3 and Shape 2
Hope this helps...
Have a great day.
Slope and equation, how much battery does she lose an hour
Answers
The slope is -5, meaning she loses 5% of battery per hour
:)
Simplify Complex Numbers
Answers
3.
√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10
… = 5 √10
=> a = 5
4.
√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10
… = 10i √3
=> -a = 10 and b = 3 => a = -10 and b = 3
=> a - b = -10 - 3 = -13
In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the equation F=ma.
Using this formula, what is the acceleration of an object with F=7.92 newtons and m=3.6 kilograms? Express your answer to the nearest tenth.
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
When solved for C, the equation is
C = K – 273.15
C = 273.15 – K
C = K + 273.15
C = 273.15K
Answers
Find the value of 'x
Answers
Answer:
x = 16
Step-by-step explanation:
The sum of the angles of a triangle are 180
128+ 2x-3 +23 = 180
Combine like terms
2x+148=180
Subtract 148 from each side
2x+148 -148 = 180-148
2x = 32
Divide by 2
2x/2 = 32/2
x =16
