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Oksanka [162]
2 years ago
13

Which of these expressions requires a variable?

Mathematics
1 answer:
Tatiana [17]2 years ago
7 0
D. there is no numbers to work with so you just have to use a variable
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A tangent from point P to a circle of radius 4 cm is 10 cm long. Find: <br>a the distance of P from the centre of the circle <br
d1i1m1o1n [39]

Answer:

see explanation

Step-by-step explanation:

a

The tangent and the radius at the point of contact form a right angle

Using Pythagoras' identity on the right triangle formed.

Let x be the distance from the centre to P, then

x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )

x = \sqrt{116} ≈ 10.77 cm (to 2 dec. places )

b

let the required angle be Θ, then

Using the sine or cosine ratio in the right triangle.

cosΘ = \frac{adjacent}{hypotenuse} = \frac{10}{\sqrt{116} }

Θ = cos^{-1} ( \frac{10}{\sqrt{116} } ) ≈ 21.8°

7 0
3 years ago
1a/3a + 2 = 11 what does a equal
VashaNatasha [74]
Because in the numerator and denominator of the fraction 1a/3a, you're able to simplify that and get 1/3. There is actually no solution to the problem you're asking. You're unable to find out what (a) equals. 
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3 years ago
PLEASE THIS IS TIMED I REALLY NEED HELP AND BRAINLIEST!! :(
Mademuasel [1]

Answer:

It is 24^21 without hesitation

6 0
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zubka84 [21]
The answer to the question is (2,-2) d

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Given a quadratic function in vertex form:
Alja [10]

Answer:

See below

Step-by-step explanation:

<u>Part A</u>

A vertical stretch takes place when a\cdot f(x) given that  |a| > 1

<u>Part B</u>

A vertical compression takes place when a\cdot f(x) given that 0 < |a| < 1

<u>Part C</u>

A vertical stretch is different than a horizontal compression:

  • In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
  • In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

<u>Part D</u>

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of a must be negative such that a\cdot f(x) as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.

7 0
2 years ago
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