3 years ago

What set of reflections would carry triangle ABC onto itself

1 answer:

6 0

A reflection could be if triangle ABC was reflected in a mirror it would reflect the same triangle which would be triangle ABC. Hope this helps.

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What is the equation of the line that passes through the point (4, 3) and is perpendicular to the line x + y = 4?

zimovet [89]

ANSWER

$y - x = - 1$

EXPLANATION

The required equation passes through:

(4,3) and is perpendicular to x+y=4.

Rewrite the given equation in slope-intercept form:

$y = - x + 4$

The slope of this line is -1.

The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

$m= - \frac{1}{ - 1} = 1$

The equation of the line can be found using:

$y - y_1 = m(x - x_1)$

We substitute the slope and point to obtain:

$y - 3 = 1(x - 4)$

We simplify to get:

$y - 3 = x - 4$

$y - x = - 4 + 3$

The required equation is

$y - x = - 1$

5 0

3 years ago

The volume of a cylinder is 375 pi m^3. if r= 5 m, find its height.

pishuonlain [190]

Answer:

Step-by-step explanation:

$V=h\pi r^2\\ \\ h=\frac{V}{\pi r^2}\\ \\ h={375\pi}{25\pi}\\ \\ h=15m$