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3 years ago

6

Which equation represents a line perpendicular to the line shown on the graph?

1 answer:

Vadim26 [7]3 years ago

4 0

Answer:

See description below.

Step-by-step explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

$m=\frac{y_2-y_1}{x_2-x_1}$

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5

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1.Find x,y and z in the figure. 2. find the x and y in the figure

STALIN [3.7K]

$\\ \sf\longmapsto x+2x+90=180$

$\\ \sf\longmapsto 3x+90=180$

$\\ \sf\longmapsto 3x=180-90$

$\\ \sf\longmapsto 3x=90$

$\\ \sf\longmapsto x=\dfrac{90}{3}$

$\\ \sf\longmapsto x=30$

Now

$\\ \sf\longmapsto x=2y$ (Opposite interior angles)

$\\ \sf\longmapsto 2y=30$

$\\ \sf\longmapsto y=\dfrac{30}{2}$

$\\ \sf\longmapsto y=15$

And

$\\ \sf\longmapsto x+z=180$

$\\ \sf\longmapsto z+30=180$

$\\ \sf\longmapsto z=180-30$

$\\ \sf\longmapsto z=150$

6 0

2 years ago

Read 2 more answers

The triangles shown have the same perimeter. What is the value of x?

olga nikolaevna [1]

Answer:

18

Step-by-step explanation:

Since you know the perimeters are equal, write your equation.

x+6 + x+6 + x+6 = x + x+6 + 2x-6

combine like terms

3x + 18 = 4x

isolate your x by subtracting 3x from each side

18 = x

check your answer:

3x + 18 = 72

4x = 72

8 0

2 years ago

Given that f(x) is even and g(x) is odd, determine whether each function is even, odd, or neither. (f • g)(x) = ? (g • g)(x) = ?

vekshin1

Answer:

<h2>(f · g)(x) is odd</h2><h2>(g · g)(x) is even</h2>

Step-by-step explanation:

If f(x) is even, then f(-x) = f(x).

If g(x) is odd, then g(-x) = -g(x).

(f · g)(x) = f(x) · g(x)

Check:

(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)

(f · g)(-x) = -(f · g)(x) - odd

(g · g)(x) = g(x) · g(x)

Check:

(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x)

(g · g)(-x) = (g · g)(x) - even

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3 years ago

Read 2 more answers

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C.

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2 years ago

Select from the value that correctly completes the sentence. The value of x is

posledela

Step-by-step explanation:

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2 years ago