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olya-2409 [2.1K]

3 years ago

12

Write the equation of a line in slope intercept form that is parallel to the line y= 1/3x + 5 and passes through (-9, 5)

1 answer:

vladimir2022 [97]3 years ago

7 0

Find the slope of line 1
The equation of line 1 is y = (1/3)x + 5
m = 1/3

Find the slope of line 2
Line 2 is parallel to line 1. Parallel lines have the same number of slope. So the slope of line 2 is 1/3

Find the slope-intercept form of equation, with m = 1/3 and (-9,5)
General formula
y - y₁ = m(x - x₁)

Input the number to the formula
y - y₁ = m(x - x₁)
y - 5 = 1/3(x - (-9))
y - 5 = 1/3 (x + 9)
y - 5 = (1/3)x + 3
y = (1/3)x + 3 + 5
y = (1/3)x + 8

The equation is y = (1/3)x + 8

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3 years ago

Read 2 more answers

For which sample size (n) and sample proportion (p) can a normal curve be

Nonamiya [84]

Answer:

Option c.

Step-by-step explanation:

Using the normal curve to approximate a sampling distribution:

For a sample size n and a proportion n, the normal curve can be used if:

$np \geq 10$ and $n(1-p) \geq 10$

Option a:

$np = 35*0.8 = 28 > 10$

$n(1-p) = 35*0.2 = 7 < 10$

So option a cannot be used.

Option b:

$np = 65*0.9 = 58.5 > 10$

$n(1-p) = 65*0.1 = 6.5 < 10$

So option b cannot be used.

Option c:

$np = 65*0.8 = 52 > 10$

$n(1-p) = 65*0.2 = 13 > 10$

So option c can be used, and is the answer

Option d:

$np = 35*0.9 = 31.5 > 10$

$n(1-p) = 35*0.1 = 3.5 < 10$

So option d cannot be used.

The answer is given by option c.

7 0

3 years ago

Give complete answers that show all steps! :)

nasty-shy [4]

Answer:

Rise: 200.25

Descent 300.2

Minutes

Step-by-step explanation:

A) We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)

For climb a = 200, b = 10 c = ?

200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2

c = about 200.25

For the descent: a = 300, b = 10

300²+10² = c²

90000 + 100 = c²

90100 = c²

c = about 300.2

B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.

10/600 is 1/60, so only a couple minutes difference.

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2 years ago

What are the common factors of 12 and 28?

AlexFokin [52]

Answer: 1,2 and 4

Step-by-step explanation:

factors of 12 are : 1,2,3,4,6,12

factors of 28 are :1,2,4,7,14,28

commom factors are= 1,2,4

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2 years ago

Find the value of x Write your answer in simplest radical form

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What's the equation?

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3 years ago