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3 years ago

HELPP MEEEEEEEEE PLEASE

Mathematics

2 answers:

marshall27 [118]3 years ago

5 0

The correct answer is D. Y is equal to or less than zero.

katrin [286]3 years ago

4 0

Answer:

i think its A but im not sure

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Find the largest prime divisor of $15^6 - 7^6$<img src="https://tex.z-dn.net/?f=Find%20the%20largest%20prime%20divisor%20of%20%2

Novosadov [1.4K]

Answer:

Largest prime factor of the given expression is <em>379.</em>

Step-by-step explanation:

Given the expression:

$15^6 - 7^6$

To find:

The largest prime factor of the given expression.

Solution:

First of all, let us factorize the given expression.

$15^6 - 7^6\\\Rightarrow (15^3)^2 - (7^3)^2\\\\\text{Using } x^{2} -y^2 = (x+y) (x-y)\\\\\Rightarrow (15^3+7^3)(15^3-7^3)$

Let us learn two formula:

$x^3+y^3 = (x+y)(x^2+y^2-xy)$

$x^3-y^3 = (x-y)(x^2+y^2+xy)$

Applying the above formula in the expression written above:

$(15^3+7^3) = (15+7)(15^2+7^2-15\times 7)\\\Rightarrow 22(225+49-105 ) = 2 \times 11 \times 169 \\\Rightarrow 2 \times 11\times 13\times 13\\\Rightarrow 2 \times 11\times 13^2$ ...... (1)

Similarly:

$(15^3-7^3) = (15-7)(15^2+7^2+15\times 7)\\\Rightarrow 8(225+49+105 ) = 2^3 \times 379$ ........ (2)

Multiplying the expressions from (1) and (2) to get the result:

$\therefore 15^6 - 7^6 = 2^4 \times 11 \times \underline{\bold{379}} \times 13 ^2$

So, largest prime factor of the given expression is <em>379.</em>

7 0

3 years ago

What is m to the power of 6 times m to the power of 2

11Alexandr11 [23.1K]

The answer is m to the power of 8. Just add exponents with the same base.

8 0

3 years ago

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Which figure correctly demonstrates using a straight line to determine that the graphed equation is not a function of x? HELP PL

Nadya [2.5K]

Answer:

Lower left.

Step-by-step explanation:

To determine if a graph is a function the "vertical line test is used. If any point on a graph has one x value go to two y values it is not a function.

Witht he four pictures, the two on the right use a horizontal line, so it doesn't tell at all, on the leftthe upper one is vertical but it doesn't show that one x value has two corresponding y values. So it must be the lower left one.

The lower left picture has a line at x=1, and it passes through the line of the graph at two different y values, 4 and -4. So this has two y values with one x value.

8 0

4 years ago

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Vector A has a magnitude of 8.00 units and makes an angle of 45.0° with the positive x-axis. Vector B also has a magnitude of 8.

Burka [1]

Answer:

1) $\bar A + \bar B = -2.34 i + 5.66 j$