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BARSIC [14]
3 years ago
7

Simplify the expression

Mathematics
1 answer:
damaskus [11]3 years ago
3 0
First, simplify the denominator into 1+3i. Then multiply both the numerator and denominator by 1-3i to rationalize the denominator. Then, the numerator becomes i+3, and the denominator becomes 10. So, the first answer is correct.
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The rule R x-axis ∘ T⟨–5, 3⟩ is applied to the point (–3, –2). Where is the image in the coordinate system?
ollegr [7]

Given:

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.

The point is (-3,-2).

To find:

The image of given point after the transformation.

Solution:

Consider the given point be P(-3,-2).

Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.

If a figure translated by T⟨–5, 3⟩, then

(x,y)\to (x-5,y+3)

P(-3,-2)\to P'(-3-5,-2+3)

P(-3,-2)\to P'(-8,1)

If a figure reflected by R x-axis, then

(x,y)\to (x,-y)

P'(-8,1)\to P''(-8,-1)

Therefore, the image of given point after transformation is (-8,-1).

3 0
2 years ago
A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?
never [62]
(x1,y1) = (-2,7)
m = -5
(x,y) = (a,2)

Forming the equation,
(y-y1) = m(x-x1)
y - 7 = -5[x - (-2)]
y - 7 = -5x - 10
y + 5x = -3

Putting the values of (x,y) we get,
2 + 5a = -3
5a = -5
a = -1
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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

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