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3 years ago

Combine 5b/4a+b/3a-3b/a

Mathematics

1 answer:

lawyer [7]3 years ago

7 0

I believe 3b/6a which could reduce to b/3a.

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Irina18 [472]

Answer:

$\bf C)\: -\cfrac{1}{32}$

Step-by-step explanation:

$\tt \cfrac{1}{2^{-2}x^{-3}y^5}$

$\tt x=2\\y=-4$

Substitute ''x'' with '2' & 'y' with "-4":-

$\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}$

First let's solve $\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5$

$\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }$

$\tt \cfrac{1}{32}\left(-4\right)^5$

Calculate exponents:- -4^5= -1024

$\tt \cfrac{1}{32}\left(-1024\right)$

Remove parentheses, apply rule:- $\tt a\left(-b\right)=-ab$

$\tt-\frac{1}{32}\times \:1024$

$\tt \cfrac{1}{32}\times \cfrac{1024}{1}$

Apply fraction rule:-

$\tt -\cfrac{1\times \:1024}{32\times \:1}$

$\tt \cfrac{1024}{32}$

Divide numbers:-

$\tt -32$

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

$\tt -\cfrac{1}{32}\;\; \bf Answer$

3 0

2 years ago

Read 2 more answers

Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x

dolphi86 [110]

Answer:

x=8

Step-by-step explanation:

we know that

If Quadrilateral RSTU is a rectangle

then

The measure of angle STU is a right angle

m∠STU=90°

m∠STU=m∠STR+m∠RTU

m∠STR+m∠RTU=90° -----> complementary angles

substitute the given values

(3x-2)+(8x+4)=90°

Solve for x

11x+2=90

11x=90-2

11x=88

x=8

7 0

3 years ago

The area of the square adjacent to two sides of a right triangle are 29.25 square units and 13 units 30 POINTS

Otrada [13]

Answer:

$x=6.5\ units$

Step-by-step explanation:

step 1

Find the length side of the smaller square

The area of the square is equal to

$A=a^{2}$

$a^{2}=13$

$a=\sqrt{13}\ units$

step 2

Find the length side of the larger square

The area of the square is equal to

$A=b^{2}$

$b^{2}=29.25$

$b=\sqrt{29.25}\ units$

step 3

Find the value of x

Applying the Pythagoras Theorem

$x^{2} =a^{2}+b^{2}$

substitute the values

$x^{2} =13+29.25$

$x^{2} =42.25$

$x=6.5\ units$

6 0

3 years ago

larisa [96]

the volume of cylinder is 3.14 r^2×h

7 0

3 years ago

Read 2 more answers

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

kozerog [31]

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Given

9x + 3y = 12

We require to rearrange expressing y in terms of x

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4

Expressed in functional notation by replacing y by f(x), that is

f(x) = - 3x + 4

8 0

3 years ago