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fenix001 [56]
3 years ago
13

What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer: y + 3 = 4 (x +1 )

Step-by-step explanation:

The eqution of a line in point- slope form is given as :

y-y_{1} = m(x-x_{1} )

Where m is the slope and (x_{1} , y_{1}) is the given point

substituting the values into the formula , we have:

y - (-3) = 4 ( x - {-1) )

y + 3 = 4 ( x + 1)

This is the equation of the line in point-slope form.

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Solve the right triangle. Round decimals to the nearest tenth
Tems11 [23]

Answer:

  j = 19.6

  k = 25.9

  J = 49°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.

<h3>Analysis</h3>

The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...

  Sin = Opposite/Hypotenuse   ⇒   Hypotenuse = Opposite/Sin

  Tan = Opposite/Adjacent   ⇒   Adjacent = Opposite/Tan

Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.

<h3>Application</h3>

  Hypotenuse = Opposite/Sin

  IJ = 17/sin(41°) ≈ 25.9

  Adjacent = Opposite/Tan

 IK = 17/tan(41°) ≈ 19.6

  Angle J = 90° -41° = 49°

In summary, ...

  j = 19.6

  k = 25.9

  J = 49°

8 0
2 years ago
1/2k - 1/4 = 1/3 what is k ?
Minchanka [31]

Answer:

7/6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Subtract. – 0.41 – 8.91<br> a. –9.32<br> b. –8.50<br> c. 8.50<br> d. 9.32
Free_Kalibri [48]
The answer is a -9.32
5 0
3 years ago
Theos mom bought an eight pack of juice boxes for 4 dollars find the unit rate
riadik2000 [5.3K]

Answer:

$0.50 for a pack of juice.

Step-by-step explanation:

You are finding the unit rate of the cost of each unit, or one box of juice. In this case, there is 8 juice boxes in the pack, which costs you $4. Divide 4 with 8:

4/8 = 1/2 = 0.5

$0.50 is the cost per pack of juice.

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3 0
3 years ago
If each of the following sequences is either arithmetic or geometric, continue the decimal patterns.
I am Lyosha [343]

Answer:

12.8, 11.6, 10.4, 9.2, 8.0, 6.8, 5.6

3, 1.5, 0.75, 0.375, 0.1875, 0.09375, 0.046875

Step-by-step explanation:

The first one is arithmetic as the pattern is deducting 1.2, second one is geometric as it is dividing 2.

4 0
3 years ago
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