please help me to solve this equation i tried to look it up on multiple websites but they only confused me 9/4-1/(2x)=4/x
Answers
so assuming that the fractions are
(9/4)-(1/*2x))=4/x then
get all x on one side
add 1/(2x) to both sides
9/4=(4/x)+(1/(2x))
make common denomators with x and 2x
common denomenator is 2x
4/x times 2/2=8/(2x)
9/4=8/(2x)+1/(2x)
add
9/4=9/(2x)
make common denomators with 4 and 2x
common denomator is 4x
9/4 times x/x=9x/(4x)
9/(2x) times 2/2=18/(4x)
9x/(4x)=18/(4x)
multiply both sides by 4x to clear fraction
9x=18
divide both sides by 9
x=2
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A man walks 15 blocks to work every morning at a rate of 2 miles per hour. If there are20 blocks in a mile, how long does it take him to walk to work?
Answers
Answer: AB=6
Step-by-step explanation:
AB=12×5/10= 6
Answers
8=x
It will take her 8 hours
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time = 8 hours 《《 ANSWER
Answers
3×2.7=8.1
HOPE THIS HELPS!!!!!!!!!
b. Use your variables to determine expressions for the volume, surface area, and cost of the can.
c. Determine the total cost function as a function of a single variable. What is the domain on which you should consider this function?
d. Find the absolute minimum cost and the dimensions that produce this value.
Answers
Answer:
a) file annex
b) V(c) = π*x²*y
A(x) = 2*π*x² + 32/x
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
d) C(min) = 0,64 $
x = 1.123 in radius of base
y = 4,04 in height of the can
Step-by-step explanation:
See annex file
Lets:
call x = radius of the base of the cylinder and
y = the height of the cylinder
Then
Volume of the cylinder ⇒ V(c) = π*r²*h ⇒V(c) = π*x²*y
And y = V / ( π*x²) ⇒ V = 16 / ( π*x²)
Area of cylinder = lids area + lateral area
lids area = 2*π*x² ⇒ lateral area = 2*π*x*y
lateral area =2*π*x [16/(π*x²) ] ⇒ lateral area = 32/x
Then
A(x) = 2*π*x² + 32/x
Function cost C(x)
C(x) = 0.027 * 2*π*x² + 0.015 * (32/x)
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
Now function cost:
C(x) = 0,1695*x² + 0,48 /x
Taking derivative:
C´(x) = 2*0,1695*x - 0.48/x² C´(x) = 0,339*x - 0.48/x²
C´(x) = 0 0.339*x³ - 0.48 = 0 x³ = 0.48/0.339 x³ = 1.42
x = 1.123 in
y = 16/πx² ⇒ y = 4,04 in
C(min) = 0,64 $
Answers
Answer:
2
Step-by-step explanation:
Take any 2 points on the graph,
(50, 10) & (90, 90)
Use the slope formula:
= (90-10)/(90-50)
= (80)/(40)
= 2
Hence, the slope is 2.
Feel free to mark this as brainliest! :D
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight
Answers
Answer:
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
Step-by-step explanation:a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
Final answer:
A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.
Explanation:
In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.
- A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.
- A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.
- A 90° clockwise rotation about the origin is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.
- A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.
Learn more about Geometry Transformations here:
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