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ZanzabumX [31]
3 years ago
13

Perform the indicated operation.

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

\frac{2(a-3)}{(3+a)(3-a)}

Step-by-step explanation:

This can be written as;

\frac{8}{9-a^2} *\frac{a^2-6a+9}{4a^2-4a-24}

Perform factorization

9-a²=difference of squares formula

(3+a)(3-a)

4a²-4a-24

4(a²-a-6)

4(a²-3a+2a-6)

4(a(a-3)+2(a-3))

4((a+2)(a-3))

a²-6a+9

a²-3a-3a+9

a(a-3)-3(a-3)

(a-3)(a-3)

Rewrite the operation as;

\frac{8}{(3+a)(3-a)} *\frac{(a-3)(a-3)}{4((a+2)(a-3)}

cancel common to remain with;

\frac{2(a-3)}{(3+a)(3-a)}

Learn More

Factorization : brainly.com/question/11930808

Keywords : Operation

#LearnwithBrainly

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If the dimensions of a rectangle with a perimeter of 12 cm are doubled, what will be
exis [7]

Step-by-step explanation:

the perimeter is the sum of the 4 individual sides.

if the sides are doubled, so is the sum of them.

therefore, the new perimeter is then

12×2 = 24 cm

3 0
3 years ago
M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
Setler [38]

Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

6 0
3 years ago
18+8x=-x-3(1+4x) what’s the answer
vredina [299]

Answer:

x=-21/19

Step-by-step explanation:

Given -> 18+8x=x-3(1+4x)

Distributive Property -> 18+8x=x-3-12x

Combine like terms on right side -> 18+8x=-11x-3

Subtract 8x from both sides -> 18=-19x-3

Add 3 to both sides -> 21=-19x

Divide both sides by -19 -> x=-21/19

3 0
4 years ago
Vinny's friend told him that he could earn $49 for delivering newspapers. Vinny
Deffense [45]

Answer:

The hourly rate would be 14

Step-by-step explanation:

All you have to do is divide 49 by 3.5, giving you 14 :)

6 0
3 years ago
What is the slope intercept form of 10x + 2y =8
antoniya [11.8K]

Slope intercept form is: y = mx + b


Isolate the y. First subtract 10x from both sides


10x (-10x) + 2y = 8 (-10x)


2y = -10x + 8


Isolate the y. Divide 2 from both sides and <em>all</em> terms.


(2y)/2 = (-10x + 8)/2


y = -5x + 4


y = -5x + 4 is your slope intercept form answer.



hope this helps

7 0
3 years ago
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