Answers
Answer:
√x-9=4
square on both sides
x-9=4*4
x-9=16
x=16+9
x=25
.
.hope it helps
plz mark as brainliest
[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]
Let us first solve for L. H. S.
Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have
➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]
➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Now let us find R. H. S.
➺[tex]\: {x}^{x \sqrt{x} } [/tex]
➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]
➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]
➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]
➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]
➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
Since L. H. S = R. H. S
➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]
[tex]\boxed{Hence\:proved.}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Related Questions
If two lines have an identical slope, and are 3 units apart on the x-axis, where will they cross?
Answers
Answer:
no
Step-by-step explanation:
If the lines have identical slopes then they are parallel and do not intersect.
due in 20 mins help pls
Answers
Step-by-step explanation:
[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]
Answer:
11.3 cm
Step-by-step explanation:
since this is an equilateral triangle it's every sides are equal
side length (a) = 13 cm
formula to calculate the height of equilateral triangle is
h = [tex]a *\frac{\sqrt{3} }{2}[/tex]
=[tex]13 * \frac{\sqrt{3} }{2}[/tex]
=[tex]\frac{13\sqrt{3} }{2}[/tex]
=11.25
=11.3
area of a parallelogram with a base of 7cm and a perpendicular height of 9 cm
Answers
Answer:
63
Step-by-step explanation:
A=bh=7·9=63
base times perpendicular height
Answer:
63
Step-by-step explanation:
7x9=63
you copied my answer on a different question.
and literally copied and pasted it and it's so obvious and i saw u change it
Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!
Answers
Answer:
C. ASA
Step-by-step explanation:
The details of the given parameters are;
Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,
Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF
Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF
Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency
What is the factored form of 8x2 + 12x?
4(4x2 + 8x)
4x(2x + 3)
8x(x + 4)
8x(x2 + 4)
Answers
4x(2x + 3) .......
hope it helps
Answer: b= 4x( 2x + 3)
Step-by-step explanation:
8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.
= 4x( 2x + 3)
Solve 3x + 8 = 2x + 21
Answers
4(5 square root x^2y) + 3(5 square root x^2y
Answers
Answer:
7(5sqrt ^2y)
Step-by-step explanation:
Answer: 7(5square root x^2y)
Step-by-step explanation:
By Factorisation
4(5[tex]\sqrt{ x^2y[/tex] )+ 3(5[tex]\sqrt{ x^2y[/tex] )= 4+3(5[tex]\sqrt{ x^2y[/tex] ) = 7(5[tex]\sqrt{ x^2y[/tex] )
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answers
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
what's the difference between 7/10 and 4/15
Answers
Answer:
Difference is the answer to a subtraction problem. If you are on here, you can probably use a calculator. If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.
Step-by-step explanation:
Answer:
13/30
Step-by-step explanation:
7/10 - 4/15
Get a common denominator of 30
7/10 *3/3 = 21/30
4/15 *2/2 = 8/30
21/30 -8/30
13/30
Based on these results, express the probability that the next customer will pay with something other than a credit card as a fraction in simplest form.
Answers
Answer: 99/130
Payment made by any method except credit card is 95+4=99 and altogether there is three payment method including a credit card which sums up to 130.
So the probability is 99/130.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
53 = 8 + v
Step-by-step explanation:
53 is what we are summing to so it is on one side of the equation. 53 is the results of us adding (sum) 8 to v (height)
TIME REMAINING
01:55:49
Which is the graph of f(x) = x2 - 2x + 3?
2
2 3
Mark this and retum
Save and Exit
Next
Submit
Answers
The graph of the function f ( x ) = x² - 2x + 3 is plotted
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as A
Now , the value of A = f ( x )
f ( x ) = x² - 2x + 3 be equation (1)
Now , the function is a parabolic equation with the vertices at ( 1 , 2 )
Therefore , the function is f ( x ) = x² - 2x + 3 and the graph is plotted
Hence , the parabolic function is f ( x ) = x² - 2x + 3
To learn more about equation of graph of polynomials click :
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Figure B is a scaled copy of Figure A.
Figure A
14
Figure B
56
16
7
64
28
What is the scale factor from Figure A to Figure B?
Answers
Answer:
4
Step-by-step explanation:
Notice each side was increased by 4 times
You can set up a ratio of
[tex]\frac{new}{old}[/tex]
then reduce or divide
write the equation of a line with that passes through given point and gas the given slope. Answer in general form
Answers
Step-by-step explanation:
c) since m = undefined => the equation is
x = -2
d) the equation is
y-2= -1/7 (x+7)
=> y = -1/7 x -1+2
<=> y = -1/7 x + 1
can someone help please
Answers
Answer:
3a. (i). Sequence [tex]V_{n}[/tex] is in Arithematic
(ii). Sequence [tex]W_{n}[/tex] is in Geometric
3b. 2520 Sum of First 20 Arithmetic Sequence
3c. 98292 Sum of First 13 Geometric Sequence
Step-by-step explanation:
According to the Question,
3a. (i) Arithmetic Sequence ([tex]V_{n}[/tex]) = 12 , 24 , 36 , 48 .....
it is a sequence of numbers such that the difference between the consecutive terms is same. example → 24+12=12 , 36-24=12 , 48-36=12 ∵Common Difference=12
(ii) Geometric Sequence ([tex]W_{n}[/tex]) = 12 , 24 , 48 , 96 .....
A geometric series is a series for which the ratio of each two consecutive terms is a constant function. example → 24/12= 2 , 48/24= 2 , 96/48= 2 ∵Common Ratio=2
3b. Sum of first 20 terms of Arithematic sequence, [tex]S_{n}=\frac{n}{2}[2a + (n-1) d][/tex]
(Where, a=first term of sequence , n= number of term & d=common difference)
[tex]S_{n}[/tex]=10[2×12 + 19×12]
[tex]S_{n}[/tex] =10×252 ⇔ 2520
3c. Sum Of First 13 term of a geometric sequence, [tex]S_{n}= \frac{a(r^{n}-1) }{r-1}[/tex]
(Where, a=first term of sequence , n= number of term & r= common ratio)
[tex]S_{n}[/tex]=12([tex]2^{13}[/tex]-1) / 2-1
[tex]S_{n}[/tex]=12×8191 ⇔ 98292
Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer
Answers
Answer:
The answer is "numeric".
Step-by-step explanation:
The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.
Which of the following is the equation of the line that passes through the point (-7, 12) and is perpendicular to the line whose equation is y=8
a) y=-12
b) y=-7
c) x= -7
d) x=12
Answers
Evaluate the expression (4p - m) where m=-4 and p=2
Show the work plz.
Answers
Answer:
12
Step-by-step explanation:
(4p - m)
Let m = -4 and p=2
( 4* 2 - (-4))
Multiply
8 - -4
Add
8+4
12
Answer:
Step-by-step explanation:
m = - 4 & p =2
4p - m = 4*2 - (-4)
= 8 + 4
= 12
The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3
Answers
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
Line segments AB and CB intersect outside of circle P as shown below. What is the value of x?
Answers
Answer:
4.5
Step-by-step explanation:
The Interesecting Secants Theorem states that when two secant lines intersect each other outside a circle, the products of their segments are equal. A secant is a straight line that cuts a curve in two or more points, so this definitely applies here, as both AB and CB interesect the circle twice.
Using this theorem, we can say that 6*3=4*x, so 18=4*x and x=4.5
Simplify this equation (3-2)4
Answers
Answer:
C= 1/3^8
Step-by-step explanation:
3^-2×4
3^-8
1/3^8
( 15points)Help!!! I need to finish this less than 10 minutes
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Answers
Okay! When you are ready, let me know what you need help with. Just comment this answer!
What is the question here?
HELP ASAP !!!! Which equation is satisfied by all three of the plotted points?
Answers
Answer:
Ok, so im not 100% sure about this answer but i think its D:
Step-by-step explanation:
I think this is correct because i used desmos and had plotted those answer and the only one that looks close enough to this answer was D.
I'll also put up the pictures so you can see what i mean.
I hope this help.
PLEASE HELP!! The slope of the line below is 2.5. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on the y-side.
Answers
Answer:
y = 2.5x
Step-by-step explanation:
y = mx + b
m=2.5 (slope) --> y=2.5x+b
coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate
to Find b, input the coordinate --> 5 = 2.5(2) + b
5 = 5 + b
0=b
y= 2.5x
This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.
hope this helps
The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The slope of the given line is 2.5.
And line passes through the point (2, 5) and have a slope 2.5,
then the equation of the line is,
y - 5 = 2.5 (x - 2)
y = 2.5x
Therefore, the equation of the line is y = 2.5x
To learn more about the slope;
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A
2
The distance AB
rounded to the
nearest tenth = [?]
-1
0
2
2
-
Hint: Use the distance formula:
d= (x2 – x1)2 + (72- y)2
Enter
Answers
Answer:
ssueuwuwiaiwaiaiiaiw
Solve this pls I beg
Answers
Answer:
-4 < n ≤ 5
Step-by-step explanation:
_________________
Please give a real answer.
No Docs/No files/No link
I will rate a 5-star and give the brainiest.
Answers
Answer:
3.5 m
Step-by-step explanation:
PQ = 5/(5+5) × 7
= 5/10 × 7
= 3.5 m
the koala bear is 21 inches tall. the elephant is 9 times as tall as the koala. How tall is the elephant?
Answers
the answer is 189 inches
Answer:
189 inches tall
Step-by-step explanation:
Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet
Answers
Explanation
The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down down so you add 15. That’s how you get the answer.
Answer:
b
Step-by-step explanation:
The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.
you're reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance in this example approximately how long will it take to pay off the original deck completely.
A.2yrs
B.5yrs
C.12yrs
D. The debt will never be completely repaid.
Answers
Answer:
The correct answer is D. The debt will never be completely repaid.
Step-by-step explanation:
Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.
Answer:
c. 12 years
Step-by-step explanation:
according to the book, it says it would take 12 years to get it paid off with just the minimum payments
