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2 years ago

Number 13. Multiply please.

Mathematics

1 answer:

Dafna11 [192]2 years ago

8 0

$(x-y)^2 \\\\\\= (x-y)(x-y)\\\\= x * x + (x)(-y)+(-y)(x) +(-y)(-y)\\\\ = x^2 -xy-xy + y^2\\\\=x^2-2xy + y^2$

Hope that helps!

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The mean number of people per day visiting a museum in July was 160. If 20 more people each day visited the museum in August, wh

PIT_PIT [208]

Since the number of days in July and in August is the same, there is no need to work out on the total number per month.

The mean number of people per day in August = 160 + 20 = 180

Answer: 180

5 0

3 years ago

Read 2 more answers

Which of the following is a rational number?

hammer [34]

im not sure but I think it is b

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3 years ago

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Please prove this........

Crazy boy [7]

Answer: see proof below

Step-by-step explanation:

Given: A + B + C = π → C = π - (A + B)

→ sin C = sin(π - (A + B)) cos C = sin(π - (A + B))

→ sin C = sin (A + B) cos C = - cos(A + B)

Use the following Sum to Product Identity:

sin A + sin B = 2 cos[(A + B)/2] · sin [(A - B)/2]

cos A + cos B = 2 cos[(A + B)/2] · cos [(A - B)/2]

Use the following Double Angle Identity:

sin 2A = 2 sin A · cos A

Proof LHS → RHS

LHS: (sin 2A + sin 2B) + sin 2C

$\text{Sum to Product:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-\sin 2C$

$\text{Double Angle:}\qquad 2\sin\bigg(\dfrac{2A+2B}{2}\bigg)\cdot \cos \bigg(\dfrac{2A - 2B}{2}\bigg)-2\sin C\cdot \cos C$

$\text{Simplify:}\qquad \qquad 2\sin (A + B)\cdot \cos (A - B)-2\sin C\cdot \cos C$

$\text{Given:}\qquad \qquad \quad 2\sin C\cdot \cos (A - B)+2\sin C\cdot \cos (A+B)$

$\text{Factor:}\qquad \qquad \qquad 2\sin C\cdot [\cos (A-B)+\cos (A+B)]$

$\text{Sum to Product:}\qquad 2\sin C\cdot 2\cos A\cdot \cos B$

$\text{Simplify:}\qquad \qquad 4\cos A\cdot \cos B \cdot \sin C$

LHS = RHS: 4 cos A · cos B · sin C = 4 cos A · cos B · sin C $\checkmark$

7 0

3 years ago

9.1(6)+8.7(7)=_+60.9 How do I solve this?

timurjin [86]

Answer:

The answer is 54.6.

9.1(6)+8.7(7)=54.6+60.9

Step-by-step explanation:

Given:

9.1(6)+8.7(7)=_+60.9

Now, to solve it:

9.1(6)+8.7(7)=_+60.9

Let the _be x.

So, we remove parenthesis first that makes it multiply with the number next to it:

$9.1\times 6+8.7\times 7=x+60.9$

$54.6+60.9=x+60.9$

Now adding on L.H.S:

$115.5=x+60.9$

Subtracting on both sides by 60.9 we get:

$54.6=x$

$x=54.6$

Therefore, the answer is 54.6.

7 0

3 years ago

Multiply 1/3 1/5 -1/10 -1/15 1/15 1/10

defon

Answer:

1/337500

(Decimal: 0.000003)

Step-by-step explanation:

8 0

3 years ago