Answers
Answer: 1
[tex](\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1[/tex]
Step-by-step explanation:
Related Questions
PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL
Answers
Answer:
[see below]
Step-by-step explanation:
In a group of 75 fourth graders, 21% do not like Skittles.
This means that 79% of people do like Skittles.
75 * .79 = 59.25 ≈ 59
59 students should like skittles.
Hope this helps.
Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answers
The given equations are as follows
[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]
(1) First, multiply both sides of equation A by 4, we have
[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]
Then, rewrite the left-hand side of the above equation by using the distributive property, we have
[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]
[tex]\Rightarrow x+4=-12[/tex]
This is the required equation B.
In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.
Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.
(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.
As both the equations are the same, so both will have the same solution.
Yes, they have the same solution.
What type of number is: 5? What type of number is 0?
Answers
Answer:
0 is rational
5 rational so u are correct
Step-by-step explanation:
Step-by-step explanation:
0 is Rational
5 is Rational is you are correct
What is the value of k?
Answers
Answer:
k =5
Step-by-step explanation:
triangle =180
180-115=65
65-10-5=50
50/ (4+6)= 5
PLZ help fast I need this I’ll give brainliest
Use the drop-down menus to complete each statement.
The equations x = 1 + 3t and y =-1 + 6t describe a line with a slope of
The equations x = 5 cost and y = 5 sint describe a
X2
A hyperbola with equation
.
= 1 can be parametrized similar to the circle and ellipse.
62
q?
if x = a sec t is one of the parmetric equations, the other will be y =
Answers
Answer:
1. 2
2.circle
3.b tan t
Step-by-step explanation:
The slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation x = 1 + 3t and y = -1 + 6t can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
In this case, m = 6, which is the slope of the line.
The equations x = 5 cos t and y = 5 sin t describe a circle.
These equations define the parametric form of a circle with a radius of 5 centered at the origin.
if x = a sec t is one of the parametric equations, the other will be y =b tan t
Hence, the slope of the equations x = 1 + 3t and y = -1 + 6t is 6, the equations x = 5 cos t and y = 5 sin t describe a circle and if x = a sec t is one of the parametric equations, the other will be y =b tan t
To learn more on Equation:
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what is proportional to 35/80
Answers
Answer:
nhi pta... pdhai dhang se kiya kro
For f(x) = -5x +9, find f'(15)
Answers
f(x) =-5(15)+9
f(x) =- 75+9
f(x)=-66
your answer is -66 :)
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answers
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3
Please help will make brainiest !!
Answers
Answer:
CB = 13.75
Step-by-step explanation:
Since we know that A, B, and C are the midpoint of the sides, we know that line CB is proportional to QR (by 2)..
So, 27.5/2 = 13.75
2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13
Answers
Explanation:
17(3.25)-13=42.25
9(3.25)+13=42.25
Can you give me brainliest? Thank you if you do. Have a good day!
Based on the HL congruence rule, the value of x, is calculated as:
x = 2.
How to Find the Value of x in the Triangle Using the HL congruence theorem?Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent to each other based on the HL congruence theorem.
This means that:
17x - 3 = 9x + 13
Solve for the value of x:
17x - 9x = 3 + 13
8x = 16
Divide both sides by 8:
8x/8 = 16/8
x = 2
The value of x is: 2.
Learn more about HL congruence theorem on:
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You bought 15 apples and 2 bags of Carmel for $16.00. The bags of caramel costs $5.35. How much does each apple cost? Write an equation.
Answers
Answer:
5.35*2+x=16 and the answer is $.35
Step-by-step explanation:
5.35*2+x=16
10.70+x=16
-10.70 -10.70
x=5.30
5.30/15= about .35
Answer
$12.65/15
Step-by-step explanation:
$16.00-$5.35=$12.65
This means that $12.65/15 is the cost of each apple.
Please help it's four am and I really hate math
Answers
Answer:
A
Step-by-step explanation:
number books = n
2xn / 15
HELP MEEEEEEEE PMEASE
In order!!!
Answers
Step-by-step explanation:
The value of all the angles in a triangle add up to 180.
So to find x do 180-(66+52)
The angle opposite of x is the same value as x
X+E or X+Z are both equal to 180.
find the circumcenter
Answers
Answer: (0, -2)
Step-by-step explanation:
A polygon has 6 sides . The interior angles measures are 118°,127°,111°,123°,126°.and x° find the values of x .
Answers
The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.
Given :
A polygon has 6 sides. The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:
Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.
Step 2 - The sum of interior angles of a hexagon is 720 degrees.
Step 3 - So, the values of 'x' can be calculated by using the below expression:
118 + 127 + 111 + 123 + 126 + x = 720
Step 4 - Simplify the above expression.
605 + x = 720
x = 720 - 605
x = 115 degrees
For more information, refer to the link given below:
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URGENT HELP! VIEW PICTURE
Answers
Answer:
it 2
Step-by-step explanation:
I think it’s 3(n/5)
Explanation:
please help i don't understand this
Answers
Answer:
Sorry.........................
Find y, at and tu I need help please help
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Answer:
there is no picture... but i will try my best to help you if you post picture in another question
HELP ME ASAP! TYSMMM
Ten family size bags of chips cost $15.00. What is the cost per bag? How much would 11 bags cost?
Answers
Answer:
Each bag is $1.50. 11 bags would cost $16.50.
Answer:
Each bag would cost 1.50$.
15.00$ / 10 = 1.5$
1.5 = 1.50
______________________
11 bags:
1.5 x 11 = 16.5
16.5 = 16.50$
11 bags would cost 16.50$
solve for b and simplify -17=-3/2b
Answers
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17David,Jenny and Dan went to the arcade on Wednesday. David spent $3.25 Jenny spent $2.25 more than Dan,who spent $1.75 less than David how much did the spend in all
Answers
Answer: I believe it is 3.75-
Step-by-step explanation:
David: 3.25
Jenny: 2.25 more than Dan
Dan: 1.75 less than David
3.25
- 1.75
_______
1.50
Dan spent 1.50
1.50
+ 2.25
3.25
_______
$7.00
Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.
Answers
Answer:
Step-by-step explanation:
She has 200
80 deposit - 200= 120 left to spend
80+30h=200
If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs
80+30h=200 subtract 80 from both sides
30h=120 divide by the 30
h=4
Where is the function decreasing?
A.-3 < x < 1
B.-∞< x < -3 and 1 < x < 4
C. 1 < x < 4
D.-∞< x < 1
Answers
Answer:
A. -3 < x < 1
General Formulas and Concepts:
Reading a Cartesian PlaneAnalyzing a GraphStep-by-step explanation:
"When is the function decreasing" is saying when the graph is going down.
Calculus-wise, we are finding when the slope of the tangent line is negative.
From the graph, we see it decreasing from -3 to 1. Everywhere else is increasing.
Therefore, our interval decreasing is from (-3, 1).
Please answer will give brainliest if correct.
Answers
Answer:
x intercept (2,0)
y intercept (0,-4)
Answer:
x intercept (2,0)
y intercept (0,-4)
Step-by-step explanation:
give me brainliest
Subtract 5x^2+8x-11 from 3x^2+8x-7
Answers
Explanation: First you’d need to rewrite the equation as (3x^2+8x-7)-(5x^2+8x-11). Then since you are subtracting, distribute the negative to the right side which will then give you -5x^2-8x+11 since you flip the signs. Then simply combined like terms. -5x^2 + 3x^2 is -2x^2. Then 8x-8x is 0 and lastly, +11-7 is 4. So in order, all together, your answer is -2x^2+4.
What is the quotient of (3x^4 – 4x^2 + 8x – 1) ÷ (x – 2)
Answers
Answer:
2 3 0 -4 8
+ 6 12 16
3 6 8 24
A：3x^3+6x^2+8x+24/x-2
Answer:
(3x^4-4x^2+8x-1)÷(x-2)
CHOOSE THE CORRECT CORRESPONDENCE.
TS <>
A. Side RU
B. Side TU
C. Side RT
Answers
Answer:
i believe its B side Tu
Step-by-step explanation:
help me please and thank you
Answers
Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5
Answers
Answer:
y = - 0.5 | x - 5 | + 2
Step-by-step explanation:
g(x) = |x|
[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |
[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2
[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2
[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2
y = - 0.5 | x - 5 | + 2
factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]
Answers
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form