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disa [49]
3 years ago
11

A grid shows the positions of a subway stop and your house. The subway stop is located at (–9, 7) and your house is located at (

9, –2). What is the distance, to the nearest unit, between your house and the subway stop?
A.25
B. 20
C. 30
D. 17
Mathematics
1 answer:
miv72 [106K]3 years ago
8 0
For this case, the first thing you should do is use the distance between points formula.
 We have then:
 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
 Substituting we have:
 d = root ((9 - (- 9)) ^ 2 + (-2-7) ^ 2)
 d = 20.1246118
 Rounding off we have:
 d = 20 units
 Answer:
 
The distance, to the nearest unit, between your house and the subway stop is:
 
B. 20
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spin [16.1K]

Answer:

The correct option is A

Step-by-step explanation:

Since (1, 3) are the solutions to the function g(x), then

g(x) = (x – 1)(x – 3) = x² –3x – x + 3 = x² – 4x + 3

We know that f(x) is on the same plane and f(1) = 1.

Let's take g(1) = (1 – 1)(1 – 3) = 0

Therefore, when x = 1; f = 1 and g = 0. Hence

g(1) = f(1) – 1

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The correct option is A

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3 years ago
What is not an acceptable form of proof?
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Are these triangles similar? (worth 25 points)
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Find angleK:

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Both triangles have an angle equal to 85 and 45, which makes the 3rd angle in both triangles equal to 50

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How to differentiate functions​
Andreyy89

Answer:  see boxed answers below

<u>Step-by-step explanation:</u>

(i) multiply the exponent to the coefficient then subtract 1 from the exponent.

y=\dfrac{3}{5x^3}+3x^4+2x^2-20\\\\\\\text{rewrite it as follows}: y=\dfrac{3}{5}x^{-3}+3x^4+2x^2-20x^0\\\\\\y'=(-3)\dfrac{3}{5}x^{-3-1}+(4)3x^{4-1}+(2)2x^{2-1}-(0)20x^{0-1}\\\\\\y'=-\dfrac{9}{5}x^{-4}+12x^3+4x^1-0\\\\\\y'=\large\boxed{-\dfrac{9}{5x^{4}}+12x^3+4x}

(ii) Use the division formula:    y = \dfrac{a}{b}\rightarrow \quad y'=\dfrac{ab'-a'b}{b^2}

a=5x^3+1\qquad \qquad a'=15x^2\\b=3x^5+4x^2\qquad \quad b'=15x^4+8x\\\\\\y'=\dfrac{(15x^2)(3x^5+4x^2)-(5x^3+1)(15x^4+8x)}{(3x^5+4x^2)^2}\\\\\\.\quad =\dfrac{45x^7+60x^4-75x^7-55x^4-8x}{(3x^5+4x^2)^2}\\\\\\.\quad =\large\boxed{\dfrac{-35x^7+5x^4-8x}{(3x^5+4x^2)^2}}

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3 years ago
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