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3 years ago

Find an equation of the line through (4,5) and parallel to y=3x+5.

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

<h3>ANSWER: y = 3x - 7</h3>

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What fraction would you add to 29/6 to make 4

Zigmanuir [339]

Keeping in mind that 29/6 is greater than 4, is actually 4 and 5/6, so the amount we'll "add" will be a negative one.

$\bf \cfrac{29}{6}+x=4\implies x=4-\cfrac{29}{6}\implies x=\cfrac{4}{1}-\cfrac{29}{6}\implies x=\cfrac{(6)4-(1)29}{6}
\\\\\\
x=\cfrac{24-29}{6}\implies x=\cfrac{-5}{6}\\\\
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\cfrac{29}{6}+\left( -\cfrac{5}{6} \right)=4$

8 0

4 years ago

One of the authors with too much time on his hands weighed each chocolate candy in a bag of 463 plain chocolate candies. Complet

wel

Answer:

a. One of the chocolate candies weighed 0.776 gram and it was heavier than 25 of the other chocolate candies. What is the percentile of this particular value?

It is the <u>5</u>th percentile.

b. One of the chocolate candies weighed 0.876 gram and it was heavier than 329 of the other chocolate candies. What is the percentile of this particular value?

It is the <u>71</u>th percentile.

c. One of the chocolate candies weighed 0.856 gram and it was heavier than 229 of the other chocolate candies. What is the percentile of this particular value?

It is the <u>49</u>th percentile.

Step-by-step explanation:

So when we are talking about percentile, what it means is the point below a certain score or percentage lies, or the rank.

The formula is simple:

Let's call percentile pth, pth= $\frac{p}{100}*(n+1)$

where p is the position in the data set you want to evaluate (in statistical analysis, these are called quartiles, and they are useful for evaluating groups, so 3 quartiles would divide sample into 25th, 50th and 75th, four quartiles would be 20th, 40th, 60th, 80th, and so on).

and n is the number of elements in the set

For this problem there are no quartiles specified, but we can then work with the definition of percentile, meaning, if you are the 5th percentile, then 95% of the group are above you.

a. So 0.776 was heavier than 25 others, meaning it is in the 26th position out of 463. But we need that in relation to 100, so $\frac{26}{463}$ is 0.0562 or about 5/100, (rounded down). That would mean that the percentile is:

pth= $\frac{26}{463}$ *100=5.62 or 5, rounded down

b. 0.876 was heavier than 329 others, meaning it is in the 330th position out of 463. In relation to 100, so $\frac{330}{463}$ is 0.7127 or about 71/100, (rounded down). That would mean that the percentile is:

pth= $\frac{330}{463}$ *100=71.27 or 71, rounded down

c. 0.856 was heavier than 229 others, meaning it is in the 230th position out of 463. In relation to 100, so $\frac{230}{463}$ is 0.4967 or about 49/100, (rounded down). That would mean that the percentile is:

pth= $\frac{230}{463}$ *100=49.67 or 49, rounded down

3 0

4 years ago

Please help my sister has da struggles

Lyrx [107]

Answer: $200.

Step-by-step explanation: one tenth is just 1÷10, which is .1. Multiplying $2000 by .1 answers to $200.

7 0

3 years ago

if a car is traveling at 60mph and the driver applies that brakes in an emergency situation, how much distance for does your mod

kramer

the question is incomplete

8 0

3 years ago

Pls help me with math

Marrrta [24]

Answer:

Like terms are those terms whose variables and powers are same. For question no. 1

4p, 2p, p
m^2 , 3m^2
5ac, 7ca
5v , 9v and 2wv , vw
6pq, 2qp, 3pq
3d, 2d
4mn, 2nm
4x^2y , x^2y
5ba, ab

Now for question no. 2

The like terms from the given term is C. 3ab, 2ba

If u have any confusion then u can ask hope it will help you

3 0

3 years ago