All categories

3 years ago

Consider the figure below. Write the equation of the line of reflection. _ = __

Mathematics

1 answer:

PolarNik [594]3 years ago

7 0

Answer:

y = 0

Step-by-step explanation:

You might be interested in

At what point on the curve y = 2 + 2ex − 4x is the tangent line parallel to the line 4x − y = 3? (x, y) =

Papessa [141]

Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

3 0

3 years ago

What is hexagon pentagon and octagon with their discovery

Amiraneli [1.4K]

Answer:

pentagon is a 5 sided polygon with interior angles that add to 540 degrees. Regular pentagons have sides of equal length and interior angles of 108 degrees. The US Department of Defense headquarters is named 'the Pentagon' . ... A hexagon is a 6 sided polygon with interior angles that add to 720 degrees.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Does the graph below represent a function? A. Yes

AURORKA [14]

Yeah C should be the correct answer

8 0

3 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

4 years ago

Please help me i really need it<br><br><br> 3y + 4 + 10 ÷ 4x x 12 ÷ 9 = ?

nekit [7.7K]

I got 3y + 4 + 10x / 3

7 0

3 years ago

Consider the figure below. Write the equation of the line of reflection. _____ = ______​

Consider the figure below. Write the equation of the line of reflection. _ = __