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AveGali [126]
3 years ago
10

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

So

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

:D

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
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