Answers
9514 1404 393
Answer:
x = 6y = 18Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]
Comparing to the given form, we see x=6, y=18.
Related Questions
Find the coordinates of the point where y-4x=1 crosses the y axis
Answers
Answer:
The coordinate is (0,1) .
Step-by-step explanation:
A linear equation is given to us and we need to find the point at which it will cut y axis . The given eqution is y - 4x = 1. We know that at y axis x coordinate is 0. So on substituting x = 0 , we have ;
Put x = 0 :-
⇒ y - 4x = 1
⇒ y - 4*0 = 1
⇒ y - 0 = 1 .
⇒ y = 1 .
Hence the required co ordinate is ( 0 , 4 ).for what value of the variable is the value of the expression -3(2x+1) is 20 greater than the expression 8x+5
Answers
Answer:
- 3 ( 2x+1 ) 20
8x+5
_____________
8x+5×20 -3 ( 2×12.5+1 )
8×=100 -3 ( 25+1 )
100÷8= 12.5 -3 ( 26 )
×= 12.5
-3 ( 26 )
-3×2 + -3×6 = -6+ -18 = -24
-24
Jorge Claims that the distance between his house and the library is 13 miles. His city is placed on a coordinate plane. Jorge's House is at the coordinates (5, 1), the mall is at coordinates (2, 11) and hte Library is at cordinates (10, 13). What equation verifies his claim?
Answers
Answer:
House coordinate = (5, 1)
Library coordinate = (10, 13)
Step-by-step explanation:
Given :
House coordinate = (5, 1)
Library coordinate = (10, 13)
Distance between house snd library :
Distance = sqrt[(x2 - x1)² + (y2 - y1)]
x1 = 5, x2 = 10, y1 = 1, y2 = 13
Distance = sqrt[(10 - 5)² + (13 - 1)²]
Distance = sqrt[(5² + 12²)]
Distance = sqrt(25 +144)
Distance = sqrt(169)
Distance = 13
can someone help please
Answers
Answer:
39.3078
Step-by-step explanation:
i am not for sure but i belive this is correct:)
Answer please please
Answers
Answer:
t>-2
Step-by-step explanation:
So Act like this is an equation and add -3 to both sides:
t>-2
Thats your answer!
The correct choice should be #1
14 points please guys
Answers
Step By Step
3 1\10
Divide 3 1/2 divided by 1/2 in simplest form
Answers
Answer:
7
Step-by-step explanation:
For the problem:
3 1
2
÷
1
2
= ?
Convert any mixed numbers to fractions:
3 1
2
=
7
2
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
7
2
÷
1
2
=
7
2
×
2
1
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
7 × 2
2 × 1
=
14
2
The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
14
2
=
14 ÷ 2
2 ÷ 2
= 7
The result is:
3 1
2
÷
1
2
= 7
finding side length of the 90-degree angle triangle
Answers
Answer:
x = 4
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 4
If x = 2y + 3 and 4x – 5y = 9, what is the value of y?
Answers
Answer:
Step-by-step explanation:
y=-1 ans.
x=2*-1=3
x=-2+3
x=1 ans.
Proof:
4*1-5*-1=9
4+5=9
9=9
Answer:
9
Step-by-step explanation:
Determine if 20:14 and 80:56 is equivalent
Answers
Answer:
they are equivalent to 4
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
lets change it to a different question
does [tex]\frac{20}{14}=\frac{80}{56}[/tex]
Which relation is a function?
O {(0, -9), (-2, -3), (-2, 0), (-3, -2)}
{(0, -9), (-9, -2), (0, -3)}
O {(0, -9), (-9, 0), (-3, -3)}
O{0, -9, -2, -3)
Answers
Answer: O {(0, -9), (-9, 0), (-3, -3)}
Step-by-step explanation:
Can someone help me with this trigonometry question
Answers
==================================================
Explanation:
Apply the law of cosines to find angle C
c^2 = a^2 + b^2 - 2*a*b*cos(C)
19^2 = 11^2 + 17^2 - 2*11*17*cos(C)
361 = 121 + 289 - 374*cos(C)
361 = 410 - 374*cos(C)
361 - 410 = -374*cos(C)
-49 = -374*cos(C)
-374*cos(C) = -49
cos(C) = (-49)/(-374)
cos(C) = 0.131016042780749 ..... which is approximate
C = arccos(0.131016042780749)
C = 82.4716905247836
C = 82 degrees
Notes:
arccos is shorthand for "arccosine". It is the same as inverse sine.Make sure your calculator is in degree mode. You can check by computing cos(60) and you should get 0.5A wooden box has a square base. The height of this box is 3 times the length of one side of the base. If one side of the base is 3 feet long, what is the volume of this box?
Answers
Answer:
[tex]V=81\ \text{feet}^3[/tex]
Step-by-step explanation:
A wooden box has a square base
One side of the base is 3 feet
The height of this box is 3 times the length of one side of the base, h = 3(3) = 9 feet.
The volume of the box is given by :
[tex]V=A\times h[/tex]
A is area of base
For square base, A = side²
[tex]V=3^2\times 9\\\\=81\ \text{feet}^3[/tex]
So, the volume of this box is [tex]81\ \text{feet}^3[/tex]
An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?
Answers
Answer:
Graph B
Step-by-step explanation:
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.
In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:
Graph B corresponds to the given function.
In this way, the inverse function corresponding to:
[tex]f^{-1}(x)[/tex]
Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.
See more about inverse function at brainly.com/question/5245372
Can someone help me with this? Please and thank you! :)
Answers
Answer:7 familes
21 divided by 3=7
Step-by-step explanation:
Answer:
7 families
Step-by-step explanation:
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A car dealership is having a sale where all cars have a 12% discount. What is the discounted price of a car that originally cost $15,600?
Answers
Answer:
show us a photo
Step-by-step explanation:
Choose Yes or No to tell if each statement is true.
A rhombus is a trapezoid.
Choose yes or no
A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no
A rectangle is also a rhombus.
Choose yes or no
A rectangle is also a parallelogram.
Choose yes or no
Please say yes or no for every answer.
Answers
Answer: No, No, No, Yes
What is 4-3i minus 6+3i?
Answers
Answer:
-2
Step-by-step explanation:
PLS HELP!!!!!what is the equation
Answers
Answer:
y= -x
Step-by-step explanation:
y= -x
If (2x+10) and (3x+10) form a linear pair
find angles
.
Answers
So,
(2x+10) +(3x+10) = 180
5x+20 = 180
5x =180-20
5x=160
x= 160/5
x=32
Hence, the angles are 74 & 104
Which is the best estimate of the difference between 6 7/8 and 2 1/8?
A. 1
B. 3
C. 5
D. 8
Answers
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A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on the graph represents one foot. How many feet of fencing will the homeowner need to build the dog pen? A 38+4 the square root of 2. B 54. C 52. D 36+10the square root of 2
Answers
Answer: its D
Step-by-step explanation:
5) Amarian scored 24 points in the second half of the basketball game.
This is 75% of the points he scored in the game. How many points did
Amarian score in the game?
(The answer is NOT 18)
Answers
Not sure how I would go about solving this problem. Any help would be appreciated
Answers
for simple answers
angle 1 = 128
angle 2 = 52
angle 3 = 47
angle 4 = 133
angle 5 = 81
HEEEEEELP IF U CAN EXPLAIN PLEASO DO IT TANK U
Answers
Answer:
130 degrees
Step-by-step explanation
Angle 6 is 130 degrees because it has a vertical angle relationship with the angle measure of 130 degree
Angle 6 and 2 are equal because of the corresponding angle relationship
OR
The angle measure of 130 degrees have an alternate interior angle relationship with angle 2 which makes them equal
Therefore angle 2 is 130
Hope it helped :))
Solve for x. 85+5x-10=11x+3
Answers
A pitcher contains 6 3/4 cups of juice. The juice is poured into sample cups that each hold 1/2 cup. How many samples are poured from the pitcher?
Answers
Answer:
There are 13 1/2 samples poured from the pitcher
Step-by-step explanation:
1/2 ÷ 6 3/4 = 13.5
PLEASE HELP
How do you write the set notation for the graph below
Answers
Answer:
The first one
Step-by-step explanation:
Its just playing with the signs, its not ____ and equal to so the last two arent it (because of the empty circle) and its greater than -1 so its number 1.
3х+4y=7 make y subject
Answers
What is 27.9789767993 round to nearest tenth
Answers
Answer:
28.0
Step-by-step explanation:
if rounding to the nearest tenth then the number in the hundredth determines what to do - if the number in hundredths is '5 and above, give it a shove'
meaning in this case the 7 bumps the 9 up by one; but a nine will carry over and bump the number in the ones place up by one
Answer:
28
Step-by-step explanation:
Hi there!
This decimal is a tricky one.
we know we’re rounding to the nearest tenth, so the hundredths place will come in handy.
Since there is a 7 in the hundredths place, we know we’re going to round up, but we have a 9 in the tenths place, so it would become a ‘10’, which is just going into the next whole number, which is 28.
I hope this helped!