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Inessa05 [86]
3 years ago
12

PLZ help really super fast

Mathematics
1 answer:
masya89 [10]3 years ago
4 0

Answer:

Option C is true.

Step-by-step explanation:

See the attached diagram.

Since MN is a diameter of the circle at P, so it will always make a right angle at a point on the circumference of the circle.

Therefore, ∠ MLN = 90° as L is a point on the circumference.

Now, given that LM = 2x and LN = 3x, then we have to find MN.

So, applying Pythagoras Theorem, MN² = LM² + LN²

⇒ MN² = 4x² + 9x² = 13x²

⇒ MN = x√13

Therefore, option C is true. (Answer)

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F(x) = x + 4<br> G(x) = x^2 + 4<br> Find (fog) (3)
Anika [276]
Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17
5 0
3 years ago
If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
Volgvan

Answer:

The domain of the function (cd)(x) will be all real values of x except x = 2.

Step-by-step explanation:

The two functions are c(x) = \frac{5}{x - 2} and d(x) = x + 3

So, (cd)(x) = (\frac{5}{x - 2})(x + 3) = \frac{5(x + 3)}{x - 2}

Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.

Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)

8 0
4 years ago
Read 2 more answers
A department store's survey suggests that 76% of shoppers buy food, 49% buy clothes, and 28% buy both food and
Artyom0805 [142]

Answer:

0.57

Step-by-step explanation:

Given that:

food = f ; c = clothes

P(f) = 0.76

P(C) = 0.49

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Suppose a shopper is selected from the store at random and learn that they buy clothes. What is the probability that the shopper also buys food?

P(f Given C) = P(f | C)

P(f | c) = p(fnC) / p(C)

P(f | c) = 0.28 / 0.49

P(f | c) = 0.5714

P(f | c) = 0.57

7 0
3 years ago
Quadrilateral ABCD with A(2,2), B(-3,5), C(-4,0), D(2, -2) translated 1 unit up and 2 units right
wlad13 [49]
A(3,4) B(-2.7) C(-3,2) D(3,0)
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8 0
3 years ago
Solve 19cos θ = 5 cos θ + 14 for all values of θ if θ is measured in radians.
Bas_tet [7]

Answer:

Ф=xπ, x={0,+∞}

Step-by-step explanation:

be 19cosФ=5cosФ+14 → 19cosФ-5cosФ-14 → 14cosФ-14=0 → cosФ=1

then,  values for which cosФ=1 are Ф=0º=360º=720º........., but the values of Ф  must be radians, so Ф=xπ, where x∈Z, not including the negative numbers,

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when calculating the values, it must be done in radian mode

6 0
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