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]
In the circle above, DE = 2, CE = 6, and BE = 3.
What is the measure of EA?
A) 2
B) 3
C) 6
D) 4
Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
What is the approximate area of a circle with a diameter of 10 in?
A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2
Answer:
Hello! answer: 78.5 in2
Step-by-step explanation:
IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14
area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25
25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!
The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Given that;
Diameter of circle = 10 in.
Now, We know that;
⇒ Area of circle = πr²
Where, 'r' is radius of circle.
Here, Diameter of circle = 10 in.
Hence, Radius = 10 / 2 = 5 in
Thus, We get;
⇒ Area of circle = πr²
⇒ Area of circle = 3.14 x (5)²
⇒ Area of circle = 78.5 in²
Thus, The approximate area of a circle with a diameter of 10 in is,
⇒ Area of circle = 78.5 in²
Learn more about the circle visit:
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Find the value of x. Using trig
Hi there! We can find the value of x by using this equation.
[tex] \large \boxed{tanx = \frac{19}{23} }[/tex]
If you remember, tanx = opposite/adjacent. We focus on the angle x currently.
Now that you might wanna ask if there is a value of x that makes 19/23. The answer is yes but in decimal.
[tex] \large{arctan( \frac{19}{23} )} = x[/tex]
You might wanna put arctan(19/23) in a calculator since it's not really possible to get the square root like value by yourself.
arctan(19/23) is 0.69
Then we round up and get 0.7
Hence, the value of x ≈ 0.7
Answer
x ≈ 0.7 (rounded)Questions can be asked through comment.
Hope it helps, and Happy Learning! :)
i need to finish this usa test prep now plz help
Answer:
R = 101
S = 131
Step-by-step explanation:
First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.
T=180-128
T=52
You also know that all angles in a triangle equal to 180
Use that to find angle S
180 = R+S+T
180 = 79 + S + 52
180 - 79 - 52 = S
49 = S, exterior S = 180-49 = 131
Exterior R = 180 - 79 = 101
Now add all your exteriors
NO LINKS OR FILES
PEASE HELP IM BEING TIMED
On a map of North Carolina, the distance between Raleigh and Charlotte is 1 point
3 inches. The scale on the map is 1 inch = 40 miles. What is the actual
distance?
Answer:
52 miles
Step-by-step explanation:
You can use simple law of proportions to calculate this one.
[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]
solve for x and you get 52 miles.
I have added a similar example below if that helps further explain this.
X-2y=5 2x-4y=10
Put both equations in slope-intercept form
Solve the systems of equations by substitution
Solve the systems of equations by graphing
ONE HUNDRED POINTS HURRY
Step-by-step explanation:
X-2y=5 ; 2x-4y=10
• x - 2y = 5 • 2x -4y = 10
-2y = -x+5 -4y= -2x +10
y1 = ½x - 5/2 y2 = ½x -5/2
• => y1 = y2
½x -5/2 = ½x -5/2
the systems have no solution
• graph as attached
Answer:
[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
True for all x (infinitely many solutions)
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given equations:
[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]
To put both equations in slope-intercept form, rearrange both equations to make y the subject:
Equation 1
[tex]\implies x-2y=5[/tex]
[tex]\implies x-2y+2y=5+2y[/tex]
[tex]\implies x=5+2y[/tex]
[tex]\implies x-5=5+2y-5[/tex]
[tex]\implies 2y=x-5[/tex]
[tex]\implies 2y \div 2=(x-5) \div 2[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Equation 2
[tex]\implies 2x-4y=10[/tex]
[tex]\implies 2x-4y+4y=10+4y[/tex]
[tex]\implies 2x=10+4y[/tex]
[tex]\implies 2x-10=10+4y-10[/tex]
[tex]\implies 4y=2x-10[/tex]
[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Therefore, both equations are the same as they have the same slope and y-intercept.
As both equations are the same, this system of equations is called an equivalent system.
To solve a system of equations by substitution, substitute one equation into the other:
[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]
As both sides are equal, the solution is true for all x.
The solution to a graphed system of equations is the point(s) of intersection.
When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.
Learn more about systems of equations here:
https://brainly.com/question/21447811
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Find the value of x. Please help
Answer:
64
Step-by-step explanation:
height of the hypotenuse:
[tex]\sqrt{60^2-36^2} = \sqrt{3600 - 1296} = \sqrt{2304} = 48[/tex]
36 : height = height : x
36 : 48 = 48 : x
x= 48^2/36 = 64
Answer:
X = 64
Step-by-step explanation:
Pythagoras Theorem
Similar Shapes
Find the value of x
I give you 10 points if you help
Step-by-step explanation:
x = 55
I hope this is helpful
I need help on this please it would really help me alot
Answer:
C = 12 pi
Step-by-step explanation:
The radius is 6
The circumference is given by
C = 2 * pi *r
C = 2 * pi *6
C = 12 pi
Answer:
12π
Step-by-step explanation:
the circumference of the circle can be found using the formula: 2πr.
RW is the radius, and we know that RW=6, so we can plug this into the formula:
C=2πr
C=2π(6)
C=12π
so, the circumference of the circle is 12π.
someone help me it's due today
Answer:
y=2x+6
Step-by-step explanation:
y=2x+6 you are welcome!!
Tiffany withdrew $20 on fourteen different occasions from her bank account. After the fourteen transactions, what integer represents the change to her bank account balance?
Answer:
$-280
Step-by-step explanation:
Tiffany withdrew $20, 14 times. a withdrawal means the amount in her account would reduce.
total change in balance = 20 x 14 = 280
because it is a withdrawal, a negative sign would be attached
Answer: -280
Step-by-step explanation:
Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.
Answer:
AB ≈ 2.62 cm
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{15}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{24}[/tex]
= [tex]\frac{20\pi }{24}[/tex]
≈ 2.62 cm ( to the nearest hundredth )
Graph the system of equations, and determine the solution.
x+5y=5
2x+10y=60
Step-by-step explanation:
the systems have no solution
the lines are parallel each other
graph as attached
Solve the rational equation:
9/x + 1/4 =2/x
Answer:
D, x=-28
Step-by-step explanation:
Answer:
[tex]x=-28[/tex]
Step-by-step explanation:
[tex]\frac{9}{x} +\frac{1}{4} =\frac{2}{x}\\[/tex]
Move [tex]\frac{9}{x}[/tex] over the equal sign
[tex]\frac{1}{4} =\frac{2}{x} -\frac{9}{x}[/tex]
[tex]\frac{1}{4} =\frac{-7}{x}[/tex]
Cross multiply
[tex]4*-7/x[/tex]
[tex]\frac{-28}{x}[/tex]
[tex]x=-28[/tex]
Hope this is helpful
Please help and quick !
Answer:
x =answer is 800 m so good luck
Answer:
x=800
Step-by-step explanation:
I think. Not sure.
Find the volume of the given figure.
5
9
8
Answer:
179.996
Step-by-step explanation:
Pam had some toy cars. She got 4 more cars. Then her friend gave her 2 more cars. Now Pam has 18 toy cars in all. Which equation shows this word problem? O A. A. 0 +4+2 = 18 О B. D +4- 2 = 18 O + C. 4+ 2 + 18 = 0 O D. 4+2 – 18 = 1
Can someone help me please
it's sideways take a better pic
Nine chips numbered 1 through 9 are placed in a box and mixed. Margie selected one chip from the box. What is the probability that Margie selected a chip that is a multiple of three?
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given
There are 9 chips numbered 1 to 9 placed in a box
Margie selected one chip from the box
If the chip is multiple of 3 then the chip can be 3, 6, or 9
So, the probability associated with this is
[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]
What is the value of X?
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
Solve the triangle for all missing sides and angles
Answer:
a=9
c= 17.5
angles: a =31, b =59, c =90
Step-by-step explanation:
a:
tan (31) = a/15 *cross multiply*
a = 15 (tan (31))
a = 9
c:
*use pythagorean theorum*
9^2 + 15^2 = c^2
81 + 225 = c^2
306 = c^2
17.5 = c
Answer:
B = 59
a = 9.01
c = 17.49
Step-by-step explanation:
Angle B
180 - 90 - 31 = 59
c
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
sin(B)=15/c
sin(59)=15/c
c=15/sin(59)
c=17.49
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]
heyy please help with this question - i'll give brainliest :))
Answer:
B. 147 cm2
Step-by-step explanation:
How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]
The graph would move f(x) five units up.
Hope this helps.
Find the slope
(-5,2) (-12,-11)
Answer:
m= 13/7
Step-by-step explanation:
(-5, 2) , (-12, -11)
Slope(m)
m= (y2-y1)/(x2-x1)
m= (-11 - 2)/(-12 + 5)
m= (-13)/(-7)
m= 13/7
someone pls help me
A cylinder has a radius of 6 m and a height of 11 m.
What is the approximate surface area of the cylinder
Answer:
https://www.calculatorsoup.com/calculators/geometry-solids/
use that webiste it will answer your problem
Step-by-step explanation:
Answer: 640.6m^2
Step-by-step explanation:
Find the ratio of the areas of two circles with radii 4 and 12
Answer:
1:9
Step-by-step explanation:
~Refer to the attachment for the solution.
6 + (8 x 3) - 9 Enter the value
Answer:
Hello, so the answer is 21.
Step-by-step explanation:
Okay so first we want to do it order, so the order you do it in is the order of PEMDAS which stands for Parentheses, Exponents, Multiplication, Division , Addition and Subtraction.
So in this situation we have parenthesis, multiplication, subtraction and addition, so we start with the parenthesis, (8 x 3) which is 24. So then we move on to +6 (positive six) and -9 (negative 9) basically -9 minus 6 is -3.
Sooo now we have -3 and 24. The three is negative because -9 minus 6 is -3, and you have to put the sign of the bigger number.
Now, 24 minus 3 equals 21. So there we have it :)
Hope I helped!
value of 3z when z = 1.2
Answer:
3.6 is the answer
Step-by-step explanation:
3z when z=1.2
3(1.2)=?
3*1.2=
(3*1)+(3*.2)=3+.6
Answer:
3.6
Step-by-step explanation:
If z = 1.2
3z
= 3 × (1.2)
= 3.6
Hope it helps ⚜