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3 years ago

Factor completely 6x - 18. 6(x + 3) 6(x-3) 6X (-18) Prime

Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

6(x-3)

Step-by-step explanation:

the common number for 6 and 18 is 6 so if you extract that from the expression then it turns to 6(x-3) which cannot be factored further

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It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.

Tasya [4]

Answer:

Hello,

£75.40*12= 904.8£

Step-by-step explanation:

5 0

3 years ago

Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

6 0

3 years ago

Name the angle pair of angles 1 and 2.

AleksandrR [38]

Step-by-step explanation:

angles on a straight line

4 0

3 years ago

A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What is the original

Thepotemich [5.8K]

Answer:$50

Step-by-step explanation:

So we have the sweater that’s $30 with a sale of 60% of the original price.

That means $30=60% of the original

30=60%start with this

5=10% divide 6 by both sides to get 10%

50=100% times by 10 to get 100%, which is the original price.

So the original price of this sweater is $50

4 0

3 years ago

Read 2 more answers

The price of a technology stock was

inna [77]

9.82-9.71=.11

.11x100 divided by 9.82 = 1.12%

6 0

3 years ago