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2 years ago

What is the equation in point-slope form of the line passing through (-1,3) and (1, 7)?

Mathematics

1 answer:

amid [387]2 years ago

3 0

Answer:

Step-by-step explanation:

The equation of the line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line

Get the slope;

Given the points (-1,3) and (1, 7)

m = y2-y1/x2-x1

m = 7-3/1+1

m = 4/2

m = 2

Substitute the point m = 2 and the point (-1, 3) into the formula above as shown;

y - y0 = m(x-x0)

y - 3 = 2(x-(-1))

y - 3 = 2(x+1)

Hence the required equation is y - 3 = 2(x+1)

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3 years ago

Find the measure of angle b

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3 years ago

Currently, Lupe and Hector are 61 and 67 years old, respectively. They have two daughters and a grandson, who are 37, 31 and 7 y

RSB [31]

Answer:

2 years

Step-by-step explanation:

We can check all the possibilities. Necessarily, Hector's age in years must be prime, then we consider the years when this happens and test for the other members of the family.

Hector is 67 years old, so in 25 years he will be 92 years old. The prime numbers between 67 and 92 are 71, 73, 79, 83 and 89.

When Hector is 71 years old, four years have passed the Lupe is 65 years old, so this case fails.

When Hector is 73 years old, six years have passed. Lupe is 67 years old, an their daughters and grandson are 43, 37 and 13 years old. All of these are prime numbers, therefore in this year the statement holds.

When Hector is 79, twelve years have passed. Then, the eldest daughter is 49, which is not a prime number thus this case fails.

When Hector is 83, sixteen years have passed, so Lupe is 77 which is not prime. This case fails too.

Finally, when Hector is 89, 22 years have passed. Lupe is 83, the daughters are 59 and 53 resp; the grandson is 29. All of these are primes, so the statement is true.

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3 years ago

Expand & simplify 4 ( g + 3 ) − 4 ( g + 6 )

Vinvika [58]

Answer:

-12

Step-by-step explanation:

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2 years ago

Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for

skad [1K]

m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece

Solution:

Given that Harita must memorize 90 measures of music for her cello solo at a concert

To find: equation to determine m, the number of measures Harita still needs to memorize, as a function of d, the number of days of practice since she began learning the piece

Let "m" be the number of measures Harita still needs to memorize

Let "d" be the number of days of practice since she began learning the piece

Given that She plans on memorizing 18 new measures for every 3 days of practice

Rate per day is given as:

$\frac{18}{3} = 6$

Therefore she memorises 6 per day

Therefore, the equation that relates 'm' to 'd' is:

m = total measures of music she must memorise - (number of measures she memorises per day x d)

m = 90 - 6(d)

m = 90 - 6d

Thus the required equation is found

7 0

3 years ago