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Ipatiy [6.2K]
2 years ago
11

A line passes through the point (0,6) and is parallel to the line with the equation y =

Mathematics
2 answers:
Tresset [83]2 years ago
8 0

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

Delicious77 [7]2 years ago
3 0

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{5} x - 5 ← is in slope- intercept form

with slope m = \frac{1}{5}

Parallel lines have equal slopes, thus parallel line has slope of \frac{1}{5}

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = \frac{1}{5} x + 6 ← equation of parallel line → A

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sergeinik [125]

Answer:

A. x = 58°

B. x = 10m

C. a = 44°

All approximated to nearest whole number.

Step-by-step explanation:

All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.

Recall: SOHCAHTOA

a. Adjacent = 4.8cm,

Hypotenuse = 9cm

Angle to find =x°

Thus, we would apply the following formula:

Cos θ = Adjacent/Hypotenuse

Cos θ = 4.8/9 = 0.5333

θ = Cos-¹(0.5333) = 57.77

x ≈ 58° (to nearest whole number)

b. Opposite side = x

Hypothenuse = 40 m

Included angle = 14°

We would use:

Sine θ = opposite/hypothenuse

Sin (14) = x/40

Multiply both sides by 40

40*sin(14) = x

40*0.2419 = x

x = 9.676 = 10 m (to nearest whole number)

c. Opposite = 87mm

Adjacent = 91mm

θ = a°

We would use:

Tan θ = opposite/adjacent

Tan θ = 87/91

Tan θ = 0.9560

θ = tan-¹(0.9560)

θ = a = 43.71

a ≈ 44° (to nearest whole number)

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3 years ago
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