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2 years ago

Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.

Mathematics

2 answers:

user100 [1]2 years ago

4 0

C.y=1/2x+6, is fit....

olga55 [171]2 years ago

3 0

Y - 3 = 1/2(x + 6) =...point slope form
y - 3 = 1/2x + 3
y = 1/2x + 3 + 3
y = 1/2x + 6...slope intercept form
-1/2x + y = 6...multiply everything by -2
x - 2y = -12 <=== standard form

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Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be use

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Answer: independent variable: time (t). Dependent variable: distance (d).

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2 years ago

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3 years ago

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So I'm currently doing online school due to external circumstances and haven't done this type of problem before. I need help fin

Ann [662]

Answer:

DE ≈ 14.91

Step-by-step explanation:

Make use of the relationships between sides and angles in a right triangle. These are summarized by the mnemonic SOH CAH TOA:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

The side DE is opposite the angle 19°, so the sine or tangent relation will be involved. The sine relation requires you know hypotenuse EF. The tangent relation requires you know adjacent side DF.

The only common side between triangles CDF and DEF is side DF. That side is opposite the given 61° angle. The given side length (CF = 24) is adjacent to the 61° angle.

This means you have enough information to use these relations:

tan(61°) = DF/CF = DF/24

DF = 24·tan(61°)

and

tan(19°) = DE/DF

DE = DF·tan(19°) = (24·tan(61°))·tan(19°) . . . . . use DF from above

DE ≈ 24(1.804048)(0.344328) ≈ 14.908

The length of DE is about 14.91.

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