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IRINA_888 [86]
3 years ago
9

I need help on #3!!!

Mathematics
2 answers:
blagie [28]3 years ago
6 0

Answer:

all work is pictured and shown

Veseljchak [2.6K]3 years ago
5 0

Answer:

\frac{{x}^{2} - 9}{{x}^{2} - 16}

Step-by-step explanation:

[\frac{(x - 3)(2x + 1)}{(x - 4)(x + 5)}][\frac{(x + 3)(x + 5)}{(x + 4)(2x + 1)}] =  \frac{(x - 3)(x + 3)}{(x - 4)(x + 4)} =  \frac{{x}^{2} - 9}{{x}^{2} - 16}

In order to figure this out, you have to factor every single trinomial in the denominators and numerators. By doing this, you will arrive at your answer alot swifter.

I am joyous to assist you anytime.

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Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0
3 years ago
Help me plz. I dont understand.
Ahat [919]
For this, you would use simultaneous equations.

w=walnuts
a=almonds

3w+6a=51
5w+4a=55

Find a way to make one of the unknowns equal. since we are trying to work out the price of a pound of walnuts, I am going to make a equal on each side to leave us with w. This leaves us with:

15w+12a=165
6w+12a=102

Then take them away to leave w:

9w=163

Then solve:

w=163/9
= 18.11111111...

Then round it to 2 decimal places as the measurement is currency.

So 1 pound of walnuts equals $18.11
3 0
3 years ago
Daniel read 3 books in 2.5 weeks. Which rate represents this situation?
Nady [450]
The answer is C: 3 books, 2.5 weeks.
3 0
3 years ago
Read 2 more answers
Which expressions can never result in a negative real number when evaluated for any value of x? Select all that apply.
kolezko [41]
It is 5 beacause the x^1/3
7 0
3 years ago
See figure in triangle PQR,ANGLE PQR=90°,segQS seg PR find x,y and z
e-lub [12.9K]

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

3 0
2 years ago
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