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erastovalidia [21]
2 years ago
12

What is the equation of the line that passes through the point (−1,1) and has a slope of 5?

Mathematics
1 answer:
Rasek [7]2 years ago
4 0

Answer:

5x-y-6=

Step-by-step explanation:

(y-y1)=m(x-x1)

y-(-1) =5(x-1)

y+1=5x-5

5x-5-y-1=0

5x-y-6=0

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Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)
Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

Step-by-step explanation:

The components of the unit vector are x = -\frac{11}{61} and y = -\frac{60}{61}. Since r = 1, then x = \cos \theta and y = \sin \theta. By Trigonometry, tangent and secant can be calculated by the following expressions:

\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}

\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

3 0
3 years ago
Solve for x. round to the nearest hundredth if necessary.
iris [78.8K]

Answer: x=11.47

Step-by-step explanation:

Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.

Therefore, you need to remember the following identity:

cos\alpha=\frac{adjacent}{hypotenuse}

Then, knowing that:

\alpha=55\°\\adjacent=x\\hypotenuse=20

 You need to substitute these values intocos\alpha=\frac{adjacent}{hypotenuse}:

 cos(55\°)=\frac{x}{20}

Now, you can solve for "x":

20*cos(55\°)=x\\x=11.471

Rounded to the nearest hundreth:

x=11.47

6 0
3 years ago
250 gram as a percentage of 1 kg ​
kodGreya [7K]

Hey there!

Answer: 25%

\rightarrow \:  (\sf{ \frac{250}{1000} ) \times 100}

\rightarrow \: ( \sf{0.25) \times 100}

\rightarrow \:  \sf{ = 25\%}

5 0
2 years ago
Read 2 more answers
Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?
grigory [225]

Answer:

6(3+2)

Step-by-step explanation:

Distributive property:

ab + ac = a(b+c)

where a = greatest common factor (GCF)

GCF of each factor

18 = 2×3×3

12 = 2×2×3

GCF of 18 and 12 = 2×3

= 6

Therefore,

18 + 12 = 6(3) + 6(2)

= 6(3+2)

Where,

6 = a

3 = b

2 = c

ab + ac = a(b+c)

7 0
3 years ago
What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?
FinnZ [79.3K]
Frist we need to find the mean of both so 

1.55

2.67

then we make a number graph and see how mant place does it take to get to them from 0 67and55/by them selfs = 1.2(rounded)

1.2 is you answer

4 0
4 years ago
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