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NISA [10]
3 years ago
10

1.5 more than the quotient of a and 4 is b.

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

(a / 4) + 1.5 = b

Step-by-step explanation:

1.5 + (a / 4) = b

Arrange:

(a / 4) + 1.5 = b

Final Answer:

(a / 4) + 1.5 = b

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Artist 52 [7]
Area of ∆=1/2bh
80yd^2=1/2(b)(10yd)
80yd^2=5yd(b)
80yd^2÷5yd=b
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3 years ago
Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Alekssandra [29.7K]

Answer:

See Explanation

Step-by-step explanation:

Given

New function: y = 3 \cos(10 (x -\pi))

We can assume the parent function to be:

y = \cos (x)

The new function can be represented as:

y = A*\cos((\frac{2\pi}{B})(x-c))

Where

A = Vertical stretch factor

B = Period

C = Right shift

By comparison:

y = A*\cos((\frac{2\pi}{B})(x-c)) to y = 3 \cos(10 (x -\pi))

A = 3

c = \pi

\frac{2\pi}{B} = 10

Solve for B

B = \frac{2\pi}{10}

B = \frac{\pi}{5}

Using the calculated values of A,\ B\ and\ c. This implies that, the following transformations occur on the parent function:

  • <em>Vertically stretched by </em>3<em />
  • <em>Horizontally compressed by </em>\frac{\pi}{5}<em />
  • <em>Right shifted by </em>\pi<em />
5 0
3 years ago
Read 2 more answers
Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

\tan \theta=1\\\theta=\tan^{-1}(1)

We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
Need help asap plzzz
Scilla [17]

\sqrt{12}
enters the irrational number category.

Integers numbers are the numbers without decimals between -infinity and infinity.

Natural numbers are the whole numbers from 1 to infinity.

Whole numbers are natural numbers + 0.
4 0
3 years ago
Read 2 more answers
Please help my daughter asap
Scrat [10]

Answer:

B.

Step-by-step explanation:

The first number minus the 2nd number will close off the distance.

6 0
3 years ago
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