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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

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

Pachacha [2.7K]

U need to ask a teacher

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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

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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