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gregori [183]
3 years ago
13

The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

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Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

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Solving the combination as follows:

{9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84

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2 years ago
A = bh/2
Sliva [168]
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6 0
3 years ago
Are rectangle or garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangle or garden has a length of 20.5 fee
Alinara [238K]
Hello!

The formula for finding area of a rectangle is length × width

<em><u>1st garden
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Area = 63.55 ft²

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Step-by-step explanation:

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For this case we have the following expression:

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<em>Examples of similar terms:</em>

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