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3 years ago

Expand it please (3h+7k)2

Mathematics

2 answers:

Vadim26 [7]3 years ago

7 0

Answer:

9h² + 42hk + 49k²

Step-by-step explanation:

Given

(3h + 7k)²

= (3h + 7k)(3h + 7k)

Each term in the second factor is multiplied by each term in the first factor, that is

3h(3h + 7k) + 7k(3h + 7k) ← distribute both parenthesis

= 9h² + 21hk + 21hk + 49k² ← collect like terms

= 9h² + 42hk + 49k²

Keith_Richards [23]3 years ago

6 0

Answer:

6h+14k

Step-by-step explanation:

Multiply 2by 3h which gives 6h then multiply 7k by 2 which gives 14k.

Since 6h and 14k are not like terms u cannot add so your answer will be 6h + 14k.

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Help on number 12 pls

ozzi

Answer:

= 3^5 * 2^5

Step-by-step explanation:

p = 2^3 * 3^4

12 p = 12 * 2^3 * 3^4

Rewriting 12 as 3*2*2

= 3* 2*2 *2^3 * 3^4

= 3 * 3^4 * 2^2 * 2^3

We know that a^b * a^c = a^(b+c)

= 3^(1+4) * 2^(2+3)

= 3^5 * 2^5

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3 years ago

Which is the approximate measure of angle Y? Use the law of sines to find the answer. 52° 59° 64° 67°

andrezito [222]

I think B. (Thats my guess)

6 0

4 years ago

Read 2 more answers

Three times the differnece of fredicos age and 4, increased by 7, is greater than 37. What are possible values of fredicos age?

Anna11 [10]

Answer:

Possible values of fredicos age satisfy $x>14$ where $x$ denotes fredicos age.

Step-by-step explanation:

Let $x$ denotes fredicos age.

Three times the difference of fredicos age and 4, increased by 7 = $3(x-4)+7$

According to the question,

$3(x-4)+7>37\\3(x-4)>37-7\\3(x-4)>30\\x-4>10\\x>10+4\\x>14$

So, possible values of fredicos age satisfy $x>14$

Here, $x$ denotes fredicos age.

6 0

3 years ago

Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.

Liula [17]

If you consult the unit circle, you will see that:

$cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}$

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

$-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}$

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

7 0

4 years ago

Triangle EFG has coordinates E (0, 0), F (0, 2), and G (3, 0). If ΔEFG ≅ ΔXYZ, what is the measure of XY?

andreev551 [17]

Answer:

2 units

Step-by-step explanation:

Since EFG and XYZ are congruent, we can write it like this:

E = X

F = Y

G = Z

Due to E and F being two units apart on the coordinate plane, we can conclude X and Y are also at a measurement of 2 units! Hope this helps!

4 0

3 years ago