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3 years ago

Find the Equation of a line containing the given pair of points (1,4) and (5,6)

1 answer:

3 0

This is a linear equation y = mx+b, where m is the slope and b, the y-intercept.
Since we know this graph passes through A(1,4) and B(5,6), we can find easily the equation:

1st- Calculate m = (y₂-y₁)/(x₂-x₁) → m = (6-4)/5-1) = 2/4 →m =1/2
Now y = (1/2) + b.

2nd. To calculate b, replace x and y by either the coordinate of A(1,4) or B(5,6)
Let's take A where x = 1 and y = 4 for instance:
y =(1/2)x + b
4=(1/2)(1) + b
4=1/2 + b
4-1/2 = b and b= 7/2

Finally te equation becomes: y = (1/2)x + 7/2

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Step-by-step explanation:

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3 years ago

A catering service offers 5 appetizers,4 main courses, and 8 desserts. A customer is to select 4 appetizers,2 main courses,and 3

Alisiya [41]

Answer:

468 ways

Step-by-step explanation:

Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts

To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.

Solution:

A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.

Number of appetizers = 5

Number of main courses = 4

Number of desserts = 8

Number of ways of choosing k terms from n terms = $nPk=\frac{n!}{(n-k)!}$

Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = $5P4+4P2+8P3$

$=\frac{5!}{(5-4)!}+\frac{4!}{(4-2)!}+\frac{81}{(8-3)!}\\=5!+\frac{4!}{2!}+\frac{8!}{5!}\\=5!+(4\times 3)+(8\times 7\times 6)\\=120+12+336\\=468$

So, this can be done in 468 ways.

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3 years ago

4y= -6x +8 find the y-intercept

ivanzaharov [21]

First, divide each side by 4 to get y alone on the left side.

y=-6/4x+2

The y intercept is 2

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4 years ago

A set of numbers is shown below:

eimsori [14]

Answer:

[2,4,6]

Step-by-step explanation:

GIVEN EQUATION : 2X+3≥7

i.e, 2x≥7-3

i.e, 2x≥4

i.e, x≥4/2

i.e, x≥2

it's represent number should be greater than or equal to 2

The only number which follows the inequality from the set is 2,4&6

✌️:)

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3 years ago

Please help I have been stuck for a while

goldfiish [28.3K]

Answer:

B. 50 degrees

Step-by-step explanation:

I am not 100% sure and if this is a right triangle, then it's measure is 90 degrees. So, 140 degrees minus 90 degrees would total, 50 degrees.

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3 years ago

Read 2 more answers