All categories

3 years ago

Choose the appropriate description for the equation.

2 answers:

5 0

Circle
^^^^^^^^^^^^^^^^

3 0

100% Circle!!!!!!!!!!!!!!!!!!!!!!!!

You might be interested in

algol [13]

Y + 2 = x, or y + 12 = 2x

5 0

3 years ago

harina [27]

$12 \times 3 \times 2 = 72$
12×3= 36
36×2=72

5 0

3 years ago

zmey [24]

Differentiate both sides of the equation of the circle with respect to $x$ , treating $y=y(x)$ as a function of $x$ :

$x^2+y^2=5\implies2x+2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac xy$

This gives the slope of any line tangent to the circle at the point $(x,y)$ .

Rewriting the given line in slope-intercept form tells us its slope is

$x=2y+5\implies y=\dfrac12x-\dfrac52\implies\mathrm{slope}=\dfrac12$

In order for this line to be tangent to the circle, it must intersect the circle at the point $(x,y)$ such that

$-\dfrac xy=\dfrac12\implies y=-2x$

In the equation of the circle, we have

$x^2+(-2x)^2=5x^2=5\implies x=\pm1\implies y=\mp2$

If $x=-1$ , then $-1=2y+5\implies y=-3\neq2$ , so we omit this case.

If $x=1$ , then $1=2y+5\implies y=-2$ , as expected. Therefore $x=2y+5$ is a tangent line to the circle $x^2+y^2=5$ at the point (1, -2).

7 0

4 years ago

ivanzaharov [21]

Vol. of a rect. prism is V = L*W*H.

Here, that vol. is V = (2.5 ft)(1.5 ft)(4 ft) = 15 cubic feet (answer)

Note: volume (not valume).

6 0

3 years ago

german

I am only in middle school, this question is for college. sorry

5 0

3 years ago