Which value(s) of x are solution(s) of the equation below
Answer:
x =-1 , x=4Step-by-step explanation:
[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]
Answer:
[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]
After 6 years how much money will she have?
Answer:
$4,255.557336768
Step-by-step explanation:
I think.
Jenny has 3 times as many new toys as she has favorite toys. The total number of toys is 60. How many favorite toys might Jenny have?
Answer:Jenny has 15 favorite toys
Step-by-step explanation:
Jenny has 3 times as many new toys as she has favorite toys means that the ratio of new toys to favorite toys can be written as 3:1
Total Ratio=3+1=4
Since the total number of toys is given as 60
Amount of Favorite toys = ratio of favorite toys / Total ratio x Total number of toys
Amount of Favorite toys = 1/4 x 60=15
Therefore Jenny has 15 favorite toys.
BRAINLIEST
PLZ HELP!
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
You just multiple two of the equation will do
2w^2-9w+3=-4w solve the equation for all real solutions
Answer:
w= 1
w= 3/2
Step-by-step explanation:
Options
26%
40%
90%
50%
Answer:
not so sure but i guess its 50%... i am so sorry if it is wrong..if it is wrong dont forget to tell me the right answer(:
Two angles are supplementary. One angle has a measure of 51 degrees. What is the measure of the second angle?
Answer:
129°
Step-by-step explanation:
Sum of supplementary angles = 180°
One angle = 51°
Other angles = 180° - 51°
= 129°
Plz mark as brainliest!!!!!
Please help me. Either answer the question or tell me in which quadrant do I need to start graphing, please.
Answer:
The rule for a reflection over the x-axis is (x,y)→(x,−y).
Step-by-step explanation:
Take the coordinates of each letter. For example J = (1,-1). Transform it based on the rule above. (1,-1) -> (1,1). Do this for each of the letters. If you want me to check over your answers once you're done, I can do that in the comment section below.
How much did he originally deposit??
Answer:
$200
Step-by-step explanation:
200/5=40
40x5=200
To solve, you multiply the interest by the interest rate
This gets you the total. The interest is also seperate amount so he now has $240
PLEASE HELPPP PLEASEE
Answer:
Step-by-step explanation:
yes
Help please............. please
Answer:a!
Step-by-step explanation:
Select one:
A- 25%
B- 15%
C- 20%
D- 30%
Answer:
what i dont get what you are trying to ask
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
honestly i don't know i'm just guessin so i can get points
find the missing sides of the triangle
Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
f = 24
----------------------------------------------------------------
Using the cosine ratio and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
e = 12[tex]\sqrt{3}[/tex]
Answer:
F=24 and e=12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Help pleaeee?!,!,!,?,?,!
Step-by-step explanation:
the first equation (red line) :
y = -x -6
the second equation ( blue line) :
y = 2x -3
the solution :
(-1, -5)
What is geometric mean of 4 and 32???????
Answer: 18
Step-by-step explanation:
I just found the number in between
Answer:
8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{4(32)}[/tex]
= [tex]\sqrt{128}[/tex]
= [tex]\sqrt{64(2)}[/tex]
= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]
= 8[tex]\sqrt{2}[/tex]
hey! i’ll give brainliest please help
Step-by-step explanation:
I'm guessing
second one
removing some of the sentences
Answer:
changing the sentence pattern
Step-by-step explanation:
I hope you have a great day :)
what is called intersection of two sets
Answer:
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
Step-by-step explanation:
What is the simplified form of (2 + 4) - 15?
Answer:
(6)-15
=
simplified to 9.
PLEASE HELP*** (picture attached)
Answer:
i remember doing this but i forgot the answers
Step-by-step explanation:
sorry :(
Answer:
0,0 means the origin so put place it on the origin.
At the start of 2014 Mike's car was worth £12000.
The value of the car decreased by 30% every year.
Work out the value of his car at the start of 2017.
The value of the car at the start of 2017 will be £ 4116
Find the area of the shaded region.
800
5 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Enter
If the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Given that the radius of the circle is 5 cm and central angle is 80°.
We are required to find the area of the shaded region.
The area of the shaded region is basically the difference between the area of the whole circle and the area of the arc which is not shaded.
Area of circle=π[tex]r^{2}[/tex]
=3.14*25
=78.5 [tex]cm^{2}[/tex]
Area of the arc =([tex]r^{2}[/tex]Θ)/2
=(25*80π)/2*180
=(25*80*3.14)/360
=6280/360
=17.44
Area of the shaded region=78.5-17.444
=61.056
After rounding off to the nearest tenth it will be as under:
=61.06
Hence if the radius of the circle is 5 cm and central angle is 80° then the area of the shaded region is 61.06.
Learn more about area at https://brainly.com/question/25965491
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5x+8y=-12 3x+5y=-7 what is the solution
Answer:
[tex]5x + 8y = - 12 - - - (a) \\ 3x + 5y = - 7 - - - (b) \\ 3\times (a) - 5 \times (b) : \\ = > 0x - y = - 1 \\ y = 1 \\ 3x + 5 = - 7 \\ 3x = - 12 \\ x = 4 \\ { \boxed{x = - 4}} \\ { \boxed{y = 1}}[/tex]
What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
[tex]\sqrt{225[/tex]=c
15=c
3. Choose a word from below to match the definition. Inability to pay back money owed is called
Budget
O Expense
O Debt
O Income
O Bankruptcy
HELP!! An apartment building is infested with 6.2 x 10^3 rats. on average each of these rats produces 5.5 x 10^1 offspring each year. assuming no rats leave or die, how many additional rats will live in this building one year from now? write your answer in standard form.
The additional rats will live in this building one year from now is 3.41 x 10^5.
What is the additional number of rats?Standard form is used in expressing large numbers in smaller numbers. In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(6.2 x 10^3) x ( 5.5 x 10^1) = 34.10 x 10^4
= 3.41 x 10^5
To learn more about standard form, please check: https://brainly.com/question/25334755
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HELP ILL GIVE BRAINLIEST
Answer:
-2/3
Step-by-step explanation
Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)
The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3
Which inequality is represented by the graph
12. Three-fifth of senior students are girls;
a) What is the fraction of boys?
b) If there are 120 boys, how many girls are there?
Answer:
There are 72 girls
Step-by-step explanation:
3/5 = 60%
So 60% of 120 is 72
Hope this helps!
Triangle ABC with vertices A(4, −6), B(2, −8), and C(−10, 4) is dilated by a scale factor of 2 to obtain triangle A′B′C′. Which statement best describes triangle A′B′C′? (5 points) Group of answer choices
It is congruent to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is congruent to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8).
It is similar to triangle ABC and has coordinates A′(2, −3), B′(1, −4), and C′(−5, 2).
Answer:
I believe it is A I may be wrong
It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).
Since its getting dilated by 2 it will be getting bigger
I don't understand how to prove it's tangent. Help quickly please.
Step-by-step explanation:
by using pythagorean theorem:
XW²+XY²=
(2×6.4)² + 9.6² =
12.8²+9.6²=
163.84 + 92.16= 256
WY²= 16²= 256
so, XW²+XY²=WY²
=> the WXY is a right triangle, and X is a right angle.
so XY is perpendicular to XW as the diameter of circle Z.
and XY is tangent to circle Z