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Rama09 [41]
3 years ago
12

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

Mathematics
1 answer:
Marina CMI [18]3 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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This problem I can’t seem to figure out
allochka39001 [22]

Answer:

39 touchdowns and 13 fieldgoals

Step-by-step explanation:

Let t= touchdowns

f = fieldgoals

They scored 35 times

t+f = 35

Touchdown is 7 pts and fieldgoal is 3 pt

7t+3f = 193

Multiply the first equation by-7

-7t -7f =-245

Add this to the second equation

-7t -7f =-245

7t+3f = 193

----------------------

   -4f =-52

Divide by -4

-4f/-4 = -52/-4

f = 13

Now we can find t

t+f = 35

t+13 = 52

Subtract 13 from each side

t+13-13 =52-13

t =39

6 0
3 years ago
A large box of biscuit mix costs $6.48. The box contains 72 servings of biscuit mix. One serving is equal to ¼ cup of biscuit mi
Masteriza [31]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Madison needs to buy enough meat to make 1,000 hamburgers will weigh 0.25 pound. How many pounds of hamburger meat should Madiso
Elan Coil [88]

Answer:

Madison is gonna need to buy 250 pounds of meat.

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8 0
3 years ago
Mr.evans is paid $9.20 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after th
Harman [31]
40*9.2=360.8
10.7*2.25=24.075
360.8
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8 0
3 years ago
The slope of a line is 0 and it contains the point (3,1)
Sedaia [141]

Answer:

<h2>y = 1</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.

Substitute:

y-1=0(x-3)

y-1=0      <em>add 1 to both sides</em>

y=1

Other method.

If the slope is equal 0, then it's a horizontal line.

The equation of a horizontal line: <em>y = a</em>.

We have the point on a line (3, 1) → x = 3, y = 1.

Therefore the equation is <em>y = 1</em>.

3 0
3 years ago
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