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ziro4ka [17]
3 years ago
12

Find the equation to the line below.

Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

Answer:

y=3/2x+2

Step-by-step explanation:

By using slope intercept format, which is y=mx+b, you can get the answer.

kodGreya [7K]3 years ago
6 0

Answer:

y=3/2x +2

Step-by-step explanation:

Rise/run + y-intercept

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How many solutions does the equation sin(5x) = 1/2 have on the interval (0, 2PI]
Darina [25.2K]

Answer:

Step-by-step explanation:

Given the equation

Sin(5x) = ½

5x = arcSin(½)

5x = 30°

Then,

The general formula for sin is

5θ = n180 + (-1)ⁿθ

Divide through by 5

θ = n•36 + (-1)ⁿ30/5

θ = 36n + (-1)ⁿ6

The range of the solution is

0<θ<2π I.e 0<θ<360

First solution

When n = 0

θ = 36n + (-1)ⁿθ

θ = 0×36 + (-1)^0×6

θ = 6°

When n = 1

θ = 36n + (-1)ⁿ6

θ = 36-6

θ = 30°

When n = 2

θ = 36n + (-1)ⁿ6

θ = 36×2 + 6

θ = 78°

When n =3

θ = 36n + (-1)ⁿ6

θ = 36×3 - 6

θ = 102°

When n=4

θ = 36n + (-1)ⁿ6

θ = 36×4 + 6

θ = 150

When n =5

θ = 36n + (-1)ⁿ6

θ = 36×5 - 6

θ = 174°

When n = 6

θ = 36n+ (-1)ⁿ6

θ = 36×6 + 6

θ = 222°

When n = 7

θ = 36n + (-1)ⁿ6

θ = 36×7 - 6

θ = 246°

When n =8

θ = 36n + (-1)ⁿ6

θ = 36×8 + 6

θ = 294°

When n =9

θ = 36n + (-1)ⁿ6

θ = 36×9 - 6

θ = 318°

When n =10

θ = 36n + (-1)ⁿ6

θ = 36×10 + 6

θ = 366°

When n = 10 is out of range of θ

Then, the solution is from n =0 to n=9

So the equation have 10 solutions in the range 0<θ<2π

4 0
3 years ago
Classify triangle BCD based on side lengths, given:
Pavel [41]

AB = BE = 5

BD = BE + ED = 5 + 3 = 8

BC = 8

BD = BC

CD = 5 which is not equal to 8.

Triangle BCD has exactly 2 congruent sides.

Answer: Triangle BCD is isosceles.

8 0
3 years ago
Read 2 more answers
.<br> Which could be a value for n?
snow_lady [41]

Answer:

A. -\frac{1}{2}

Step-by-step explanation:

Each mark represent 0.1 unit, so if you count from 0 to n you get 0.5 that is exactly the same that -\frac{1}{2} (for convention the left of the 0 is taken as negative and the right as positive).

7 0
3 years ago
Solve h=-16t^2+20t+6?​
nikdorinn [45]

i think this is the answer Simplifying h(t) = -16t2 + 20t + 6 Multiply h * t ht = -16t2 + 20t + 6 Reorder the terms: ht = 6 + 20t + -16t2 Solving ht = 6 + 20t + -16t2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Divide each side by 't'. h = 6t-1 + 20 + -16t Simplifying h = 6t-1 + 20 + -16t Reorder the terms: h = 20 + 6t-1 + -16t

7 0
3 years ago
The volume of 100 drops of a liquid is 0.1 fluid ounce.<br><br> What is the volume of 1000 drops?
Ket [755]

Hey there!

100 drops of the liquid is 0.1 fluid ounces.

1,000 is equal to 10 x 100.

To find the volume of 1,000 drops of liquid, we must multiply the volume of 100 drops, which is 0.1, by 10.

0.1 x 10 = 1

Therefore, the volume of 1,000 drops of this liquid is 1 fluid ounce.

Hope this helps!

6 0
4 years ago
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