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3 years ago

A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.

Mathematics

1 answer:

dimaraw [331]3 years ago

3 0

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).

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An arithmetic sequence has this recursive formula: What is the explicit formula for this sequence? A. an = (–1) + (n – 7)(–4)

tresset_1 [31]

bearing in mind that an explicit form is simply the sequence written as a function of some variables, so we simply simplify and add like-terms.

$\bf a_n=(-1)+(n-7)(-4)\implies a_n=-1+(-4n+28)\implies a_n=27-4n$

4 0

3 years ago

Read 2 more answers

In parallelogram LMNO, what is the measure of angle N?<br><br> 50°<br> 70°<br> 110°<br> 130°

belka [17]

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary.

m∠O=m∠M

m∠L=m∠N

m∠O+m∠L= $180$

Step $1$

Find the value of x

$(x+20)+(2x+10)=180\\ 3x+30=180\\ 3x=180-30\\ x=\frac{150}{3} \\ \\ x=50\ degrees$

Step $2$

Find the value of angle L

m∠L $=(2x+10)$

m∠L $=(2*50+10)$

m∠L $=110\ degrees$

Remember that

m∠N=m∠L

m∠N= $110\ degrees$

therefore

the answer is

the measure of the angle N is equal to $110\ degrees$

4 0

3 years ago

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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h

ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that: x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

#SPJ4

7 0

1 year ago

How do you solve this step by step??

KonstantinChe [14]

Answer:

Step-by-step explanation: 6x+5x=3x+2x-54

11x=5x-54

+5x +5x

16x=54

16 16

x=3.375

3 0

3 years ago

Find c. Round to the nearest tenth

sergeinik [125]

Answer:

c = <u>0.5 cm</u>

Step-by-step explanation:

Using the Sine rule in the triangle, then

= ( cross- multiply )

c × sin105° = 2 × sin15° ( divide both sides by sin105°

c = ≈ 0.5 cm ( to the nearest tenth )

8 0

3 years ago

A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.​

A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.