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Elza [17]
3 years ago
13

I need the answer fore both plsss

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Answer:  6i) 6a² - 2ab

               6ii) -2b³

               6iii) b³ + 7b² - 49b

<u>Step-by-step explanation:</u>

6i)   (a + b)(5a - 3b)             +    (a - 3b)(a - b)

=    5a² - 3ab + 5ab - 3b²   +    a² - ab - 3ab + 3b²

=    5a² + 2ab - 3b²             +   a² - 4ab + 3b²

= 6a² - 2ab

6ii)    (a - b)(a² + b² + ab)              -  (a + b)(a² + b² - ab)

=   a³ + ab² + a²b - ab² - a²b - b³ -  (a³ + ab² - a²b -ab² + a²b + b³)

=   a³ - b³                                      -  (a³ + b³)

=   a³ - b³                                      - a³ - b³

= -2b³

6iii) (b² - 49)(b + 7)             +     343

=     b³ + 7b² - 49b - 343    +    343

=     b³ + 7b² - 49b

You are allowed a maximum of 3 questions.

Please post #7 on a different question.

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The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit
Kamila [148]

Answer:

Shaquille O'Neal's height= 2,160,000,000 nm

= 2.16 × 10^9 nm

Completed question;

The basketball player Shaquille O'Neal is 7 feet 1 inch tall, which is equivalent to 216 centimeters a nanometer (nm) is a unit of measurement that is one-billionth of a meter, convert his height to nanometers.

Step-by-step explanation:

Given;

Shaquille O'Neal's height= 216cm = 216 × 1/100 m = 2.16m

Since, a nanometer (nm) is a unit of measurement that is one-billionth of a meter.

1 m = 1 billion nanometers

So,

2.16m = 2.16 billion nm = 2160000000 nm

Shaquille O'Neal's height= 2160000000 nm

= 2.16 × 10^9 nm

8 0
3 years ago
Three vertices of a rectangle have coordinates (3,4), (5,−4), and (−7,−7). Determine the fourth vertex of the rectangle and then
Ket [755]
The fourth vertex would be at point (-9,1).
The slope from (5,-4) to (3,4) is -8/2 or -4.
So I did that with (-7,-7) to the fourth vertex to get the answer.
7 0
3 years ago
Circle O and triangle OQR are shown below. What is the length of OQ?
zysi [14]

Answer:

Step-by-step explanation:

A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?

This is a circle inscribed in an equilateral triangle with side s.

If you are asking for the perimeter of PQR, it is 3s.

If you are asking for the perimeter of OQR, it is (3+23–√3)s

Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.

(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s

Hope it helps

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3 0
2 years ago
The coordinates of Trapezoid EFGH are E(8, 8), F(8,10), G(1, 6), and H(4, 1). The image of EFGH under dilation is E’F’G’H’.
Sergeu [11.5K]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below are the choices:

A) (2, 6) 
<span>B) (4, 6) </span>
<span>C) (2, 5) </span>
<span>D) (4, 5)
</span>
The answer should be: (4, 5)
<span>E = (8, 8) -----> E' = (4, 4) = (8/2, 8/2) 
</span><span>F = (8, 10) -----> F' = (8/2, 10/2) = (4, 5)</span>
5 0
3 years ago
I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct
lukranit [14]

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

\frac{MN}{NO} = \frac{PQ}{QR}

\frac{14}{11} = \frac{PQ}{27}

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

\frac{378}{11} = PQ

PQ = 34.4

7 0
3 years ago
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