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3 years ago

(: IF U HELP ME U WILL GET POINTS, A STAR AND A THANK YOU AND U WILL ALSO GET BRAINLIST! (MATH) :)

Mathematics

2 answers:

kumpel [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Tems11 [23]3 years ago

5 0

Answer: B. 14^2
.............

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❊ Simplify :

DiKsa [7]

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to simplify:

$\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}$

First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:

$\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}$

Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:

$\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}$

Add the fractions:

$\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}$

Factor:

$\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}$

Simplify:

$\displaystyle =\frac{a+4}{(a-1)(a+1)}$

We can expand. Therefore:

$\displaystyle =\frac{a+4}{a^2-1}$

Problem 2)

We want to simplify:

$\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}$

Again, let's create a common denominator. First, let's factor out a negative from the second term:

$\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}$

Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:

$\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}$

Subtract the fractions:

$\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}$

Distribute and simplify:

$\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}$

Cancel. Hence:

$\displaystyle =\frac{1}{(a-b)(a-c)}$

4 0

3 years ago

A number k increased by 7 =34

grin007 [14]

Let's set up this problem.
k+7=34
Subtract k from both sides.
k=27

5 0

3 years ago

Read 2 more answers

What is the value of 7 1/12 - 4 5/6

Lynna [10]

Hello!

First of all we need to get a common denominator. Therefore we multiply 5/6 by 2/2, giving us 10/12.

Now we subtract

7 1/12-4 10/12
2 3/12=2 1/4

Therefore, our answer is A) 2 1/4.

I hope this helps!

8 0

2 years ago

Find the value of x don’t understand how to do this

RUDIKE [14]

Answer:

x=56

Step-by-step explanation:

I may be wrong but

That’s a pentagon so

5-2=3

180x3=540 ( total area of a pentagon)

89+99+72= 260

540-260=280

3+2=5

280/5=56

x=56

5 0

3 years ago

Read 2 more answers

3x-4y= 3x−4y= \,\,9 9 -5x+4y= −5x+4y= \,\,-23 −23

Marta_Voda [28]

Answer: (7,3)

Step-by-step explanation:

[Please check]: I decoded the equations as follows:

3x-4y=9 and −5x+4y=-23

We can solve this by either of two methods: Algebra and graphing.

Algebra:

Add the two equations:

3x-4y=9

−5x+4y=-23

-2x = -14

x = 7

Use x=7 to solve for y:

3x-4y=9

3(7)-4y=9

21 -4y = 9

-4y = -12

y = 3

----

The solution is (7,3)

======

Graphing:

See the attached graph. The lines intersect at (7,3)

7 0

2 years ago