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Illusion [34]
3 years ago
9

Which number line shows two different integers with the same value? A. 3 and 6 B. 5 and -5 C. 0 and 4 D.-4 and -2

Mathematics
2 answers:
Marizza181 [45]3 years ago
5 0
None of the number lines show the same value
Hoochie [10]3 years ago
5 0
Answer is B

on number line, move both left and right 5 units...
so both have same value 5 units
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I need to show work and Idk how for 2 or 3. The -5,-2 and 8,3 is the answers just need work shown thanks
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3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
Find BC, please i need help!!
Trava [24]

İf you have anything that not Clear,respond me

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3 years ago
You are playing a solitaire game in which you are dealt three cards without replacement from a simplified deck of 10 cards (mark
g100num [7]
276 hands very simple im in 6th grade
7 0
3 years ago
Write a vector equation of the line that passes through P(4, 7) and is parallel to a = (3, 8).
Anvisha [2.4K]

Answer:

B

Step-by-step explanation:

(x,y) = P + (a)t

(x,y) = (4,7) + t(3,8)

(x,y) - (4,7) = t(3,8)

(x-4, y-7) = t(3,8)

4 0
3 years ago
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