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Rama09 [41]
4 years ago
12

Find the acute angle between the two given lines y=-2x and y=x

Mathematics
1 answer:
Marina CMI [18]4 years ago
3 0

Answer:

θ ≈ 71.6°

Step-by-step explanation:

The angle between two lines with slopes m₁ and m₂ is:

tan θ = | (m₂ − m₁) / (1 + m₁m₂) |

Here, m₁ = -2 and m₂ = 1.

tan θ = | (1 − (-2)) / (1 + (-2)(1)) |

tan θ = | 3 / -1 |

tan θ = 3

θ ≈ 71.6°

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I have this due in like 10 minutes please help!!
podryga [215]

Answer:

1- a

2- b

3- c

4- d

Step-by-step explanation:

For any operation you have to separate the numbers from the unknown quantities (x, y) and then simplify them by solving them with quantities you are familiar with.

Example:

7x + 8 - 6 + 3x

7x + 3x + 8 - 6

you can only solve operations if they are both natural or algebraic numbers

10x + 2

Hope it was helpful ;)

4 0
3 years ago
Special triangles find the value of x
In-s [12.5K]

Answer:

x = 50

Step-by-step explanation:

Since this is a right triangle we can use special triangles

The angle next to the x is 60 degrees since it is a 30 60 90 triangle

The side opposite the 30 degree angle is the shorter side

The hypotenuse - 2 * shorter leg

100 = 2 * x

x = 50

3 0
3 years ago
How do you solve 5(3x+7) =3 (5x+7) ?
Naya [18.7K]
5(3x+7)=3(5x+7)

15x+35=15x+21

cancel out the 15x. If you bring over one of the 15x it's going to naturally cancel each other out.

35=21

35 does not equal 21

it would be the equal sign with the slash coming through it
4 0
3 years ago
Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?
N76 [4]

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

8 0
3 years ago
Solve for n: n/8 - 10 = -11
Svetach [21]

Answer:

n=-8

Step-by-step explanation:

n/8 - 10 = -11

add 10 to both sides

n/8=-11+10

n/8=-1

multiply eight by both sides to cancel it out to get n by itself

n/8 x 8 and -1x8

-1x8=-8

n=-8

6 0
3 years ago
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