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melisa1 [442]
2 years ago
5

Multiply: -14y(y+11)

Mathematics
2 answers:
Daniel [21]2 years ago
6 0

Answer:

-14y^2-154y

Step-by-step explanation:

-14y(y+11)

Distribute

-14y*y + -14y*11

-14y^2-154y

Tom [10]2 years ago
4 0

Answer:

-14y^2-154y

Step-by-step explanation:

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Simplify the expression. -2(x + 5) - x + 4
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Answer:

−3 x −6

Step-by-step explanation:

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3 years ago
How cos π/3=1/2?<br>having some problems learning continuity.
Bingel [31]

You can show that \cos\frac\pi3=\frac12 by constructing a triangle.

Take two points, O(0, 0) and A(1, 0), and let B be the point on the unit circle such that the angle between the line segments OA and OB is \frac\pi3 radians.

Since both A and B lie on the circle, the line segments OA and OB both have length 1 (same as the circle's radius). We finish constructing the triangle by connect A and B.

Since OB and OA have the same length, triangle OAB is isosceles, but more than that, it's also equilateral. Why? Because the interior angles of any triangle always add to \pi radians. We know one of the angles is \frac\pi3 radians, which leaves a contribution of \frac{2\pi}3 radians between the remaining angles A and B. Angles A and B must be congruent (because OAB is isosceles), which means they also have measure \frac\pi3 radians.

Next, draw an altitude of the triangle through point B, and label the point where it meets the "base" OA, C. Since OAB is equilateral, the altitude BC is also a perpendicular bisector. That means OC has length \frac12, and by definition of \cos we have

\cos\dfrac\pi3=\dfrac{OC}{OB}=\dfrac{\frac12}1=\dfrac12

3 0
3 years ago
1. Use the given key to answer the questions.
Eduardwww [97]

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2 years ago
If you have 13$ and each apple costs 30$, how much more money do i need to get 2 apples
Aleks04 [339]
You will need 47$
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7 0
3 years ago
Read 2 more answers
9. Simran had some ₹2 and ₹ 5 coins.She exchanged them for ₹ 10 coins. If the number of ₹ 5 coins is one less than the number of
sertanlavr [38]

Answer:

Step-by-step explanation:

Let x be the number of 2 coins and y be the number of 5 coins. Let z be the number of 10 coins she exchanged. Then, we have the first equation

2x+5y = 10z

Since she has one 5 coin less than 2 coins, then y=x-1. So we get the equation

2x+5(x-1) = 10z

which is equivalent to

7x-5 = 10z

If we add 5 on both sides and factor out on the right by 5 we get

7x = 5(2z+1)

We can solve for x and get

x = \frac{5(2z+1)}{7}

Since x represents the number of 2 coins, we must have that x is an integer. That is, we cannot have, for example 1.5 2 coins. Since 7 doesn't divide 5, we must have that 7 divides 2z+1. That is, the value of z is such that the number 2z+1 is multiple of 7. That is 2z+1 = 7p where p is an integer.

If that is the case, then

x = 5p, then y = 5p-1. By having 2z+1 = 7p, we are forcing that p is an odd integer, so we have infinite solutions. For each value of p that is an odd integer, then x=5p and y=5p-1 is a solution to the problem

7 0
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