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Alja [10]
3 years ago
13

What is the product (

qrt%7B12%7D%29" id="TexFormula1" title="(7\sqrt{8} +3\sqrt{12} )(7\sqrt{8} -3\sqrt{12})" alt="(7\sqrt{8} +3\sqrt{12} )(7\sqrt{8} -3\sqrt{12})" align="absmiddle" class="latex-formula">?
Mathematics
1 answer:
tangare [24]3 years ago
4 0
The product should be 284.
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Urgent ;<br>if a^3+b^3=11 and a^3-b^3=5, evaluate a^6-b^6
11111nata11111 [884]

Factorize using the difference of squares identity.

a^6 - b^6 = \left(a^3\right)^2 - \left(b^3\right)^2 = \left(a^3 - b^3\right) \left(a^3 + b^3\right)

Then

a^6 - b^6 = 11 \cdot 5 = \boxed{55}

5 0
2 years ago
Find the unknown side length x. ​
Ganezh [65]

Answer:

x = \sqrt{65}

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

4^{2} + 7^{2} = x^{2}

16 + 49 = x^{2}

65 = x^{2}

x = sq rt 65

6 0
3 years ago
Which equation matches the graph?<br> PLEASE HELP MEEEE
Rama09 [41]

Answer: Y = 3x - 2

Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2

<em>I hope this helps, and Happy Holidays! :)</em>

8 0
3 years ago
How can this 12×2+2³ make 120
Alex17521 [72]

Step-by-step explanation:

12\times(2+2^3)\qquad\text{use PEMDAS}\\\\\text{first power}\\\\=12\times(2+8)\\\\\text{next addition in parentheses}\\\\=12\times10=120

8 0
3 years ago
Find the value of unknown angle x,y,z,a,b,c with reasons and full process​
Oduvanchick [21]

Answer:

Step-by-step explanation:

x = 70 degree (being vertically opposite angles)

y + 70 degree =180 degree (being linear pair)

y = 180 - 70

y = 110 degree

In triangle,

x + 60 + misssing angle = 180 degree (sum of interior angles of a triangle)

70 + 60 + missing angle =180

130 + missing angle = 180

missing angle = 180 - 130

missing angle = 50 degree

c = missing angle (being vertically opposite angles )

c = 50 degree

x + missing angle = a (sum of two interior opposite angles is equal to the exterior angle formed)

70 + 50 = a

120 degree = a

a = b (being vertically opposite angle

120 =b

therefore b is 120 degree

Hence , a = 120 degree , b = 120 degree , c = 50 degree , x = 70 degree , y = 110 degree

7 0
3 years ago
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