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1 year ago

Find an equation of the line perpendicular to y = - 2x + 2

Mathematics

1 answer:

kondaur [170]1 year ago

7 0

Answer:

y = (1/2)x + 1

Step-by-step explanation:

y=mx+b, where m is the slope and b the y-intercept (the value of y when x = 0). We are given y = -2x + 2 as the reference line and are asked to find a line that is perpendicular to it. (We'll get to the (2,2) thing later).

A perpendicular line has a slope that is the negative inverse of the reference line slope, which in this case is -2 (the m). The negative inverse of -2 is -(-1/2) or (1/2), This measn the perpendicular line will have the form:

y = (1/2)x + b

The complication is that we want this new line to go through point (2,2). Easy. Just substitute (2,2) in the aboove ea=quation and solve for b:

y = (1/2)x + b for (2,2)

2 = (1/2)2 + b

b = 2 - 1, b = 1

The equation of the line perpendicular to y = -2x + 2 is y = (1/2)x + 1,

See attached graph for proof.

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On a number line, suppose point E has a coordinate of -4 , and EG = 13. What are the possible coordinates of point G?

Ludmilka [50]

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

-4 + 13 = G1
-4 - 13 = G2
9 = G1
-17 = G2

The possible coordinates of G are 9 or -17.

7 0

1 year ago

Solve the question below, please.

Ne4ueva [31]

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, $Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}$ , to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

$Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}$

$Cos(C) = \frac{3,524}{4,000}$

$C = Cos^{-1}(\frac{3,524}{4,000})$

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

$Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}$

$Cos(C) = \frac{808}{1,320}$

$C = Cos^{-1}(\frac{808}{1,320)}$

C = 52.26° (nearest hundredth)

6 0

3 years ago

Find the Value of x ( All help would be appreciated )

TiliK225 [7]

Answer:

Hello! answer: x = 31

Step-by-step explanation:

This whole thing Will equal 360 we can subtract that by 112 and another 112 because there are two because they are vertical angles so 112 + 112 = 224 360 - 224 = 136 now we divide by 2 since those last two angles will have the same measure 136 ÷ 2 = 68 so now we just have to find out what multiplied by 2 plus 6 = 68 so 2 × 31 = 62 and 62 + 6 = 68 so x = 31 hope that helps! and I showed a visual for you so hopefully this makes more sense!