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3 years ago

Find the equation (in terms of x) of the line through the points (-3,1) and (5,3)

Mathematics

1 answer:

maxonik [38]3 years ago

4 0

Answer:

(y-3)=(1/4)(x-5) or (y-1)=(1/4)(x+3)

Step-by-step explanation:

point slope formula: (y-y1)=m(x-x1)

slope formula: (y2-y1)/(x2-x1)

slope = m

You might be interested in

Lucas used the number sentence 8 x 2 = 16 to solve a problem. Which problem could he have solved?

4vir4ik [10]

Answer:

Word problem 3

Step-by-step explanation:

Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.

3 0

2 years ago

A clock chimes 4 times each hour. whixh expression can be used to find the number of times the clock chimes in a week

solong [7]

There are 24 hours in a day, so if it chimes twice in an hour it will chime 24*2 or 48 times a day. There are 7 days in a week, so it will chime 48*7 or 336 times.

8 0

3 years ago

The common ratio in a geometric series is 0.50.50, point, 5 and the first term is 256256256.

V125BC [204]

Answer:

504

Step-by-step explanation:

I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.

Find the sum of the first 6 terms in the series.

If it's right, then

Sₙ = (a₁ * (1 - rⁿ)) / (1 - r)

S₆ = (256 * ( 1 - 0.5⁶)) / (1 - 0.5) = (256 * 0.984375) / 0.5 = 504

6 0

2 years ago

if 4 people want tk use a canoe that can only hold up to 800 pounds and they have 60 pounds of gear, what must the average weigh

bekas [8.4K]

Answer:

185 pounds

800 - 60 = 740

740 ÷ 4 = 185

6 0

3 years ago

In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha

olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid meteor:

$1 + \frac{1}{5} \\ \\ = 1 + 0.2 \\ \\ = 1.2$

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

$x = \frac{525600}{1.2}$

x = 438000

∴ 438,000 meteors fell during the Perseid shower.

For Leonid meteor shower:

$4 + \frac{2}{3} = 4.67$

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

$4.67x = 525600$

$x = \frac{525600}{4.67}$

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0

3 years ago