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VladimirAG [237]
3 years ago
9

Point A is located at (3,-6) and point A is located at (1-2). What is the scale factor?

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

The scale factor is 3.

Step-by-step explanation:

Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).

Therefore, the distance OA is given by \sqrt{(3 - 0)^{2} + (- 6 - 0)^{2}} = 3\sqrt{5} units.

Again, the coordinates of point A' are (1,-2).

Therefore, the distance OA' is given by \sqrt{(1 - 0)^{2} + (- 2 - 0)^{2}} = \sqrt{5} units.

Hence, the scale factor is \frac{OA}{OA'} = \frac{3\sqrt{5} }{\sqrt{5}} = 3. (Answer)

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bixtya [17]

Answer:

4x + 3y = -3.

Step-by-step explanation:

First substitute into the point-slope form:

y - y1 = m(x - x1):

y - 3 = (-4/3)(x - -3)

y - 3 = (-4/3)(x + 3)

y - 3 = -4/3 x - 4

y = -4/3 x - 4 + 3

y = -4/3x - 1   Multiply through be 3:

3y = -4x - 3

4x + 3y = -3  (answer).

5 0
3 years ago
Find the measure of the missing angle.<br> a<br> 50°
xeze [42]

Answer:

a = 40°

Step-by-step explanation:

I. When total angle is 180 or half of circle

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180 - 140 = x

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That makes a is 40º

Hope that help :)

4 0
3 years ago
Find the amount in a bank account if you deposited $10,000 for 25 years at 6.25% interest compounded quarterly.
KengaRu [80]
Ok, so the formula for compound QUARTERLY is A=P(1+ʳ/n)ⁿ<span>ᵗ.
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R= The Rate
T= The Time/Number of Years
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So if you input the numbers, you will get A=10,000(1+0.0625/4)</span>⁴⁽²⁵⁾<span>
Now solve inside the parenthesis.
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Now you will need a calculator for the next part...
Do 1.0625/4 and times it by 10,000 .
You will get 0.0265265. You can't for get about the ⁴⁽²⁵⁾.
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3 years ago
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aivan3 [116]
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3 years ago
The terminal side of an angle, Theta, whose sine value is One-half
Kazeer [188]

Theta has a reference angle of 30° and is in Quadrant I or II.

Sin(theta) = ½

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<h3>What is the reference angle?</h3>

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brainly.com/question/1982296

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