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Lerok [7]
3 years ago
8

The lines whose equations are 2x + 3y = 4 and y = mx + 6 will be perpendicular when

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

These lines will be perpendicular when m =  ³⁄₂

Step-by-step explanation:

Two lines are perpendicular when the product of their gradients equal to -1. So:

m₁ * m₂ = -1

Let's get the first equation in gradient-intercept form (same as equation two).

2x + 3y = 4

3y = -2x + 4

y = -⅔x + ⁴⁄₃

We know the first gradient, and now we can find the gradient of the second line (which when multiplied will result in -1 as these lines are perpendicular). So:

-⅔ * m₂ = -1

m₂ =  ³⁄₂

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sveta [45]

Answer:

50/50

Step-by-step explanation:

half the numbers are odd, half even, on a die, so its a 50/50 chance

7 0
3 years ago
the length and width of a rectangular patio are (x+8) feet and (x+6) feet, respectively. If the area of the patio is 160 square
lorasvet [3.4K]
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6 0
3 years ago
Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct 3x
KengaRu [80]

Answer:

b) y-3x = 1

c) 3x+1 = y

Step-by-step explanation:

I think you forgot to write a little part of the question. If your complete statment with this condition, i have the answer.

"Kevin said that if you triple his age the result will be 1 less than his mother age. Which of any of these Equation shows the relationship between Kevin's age x and his mothers age Y choose all that are correct

a) 3x-y=1

b) y-3x=1

c) 3x+1=Y

d) 3x=1-y"

you can write "the triple of this ages" as: 3x. and the result is y-1. That is:

3x = y-1

That equation can be rewrite as:

1. Passing -1 to the other side as +1 you will have: 3x+1=y. That is option c).

2. From last point  3x+1=y. Passing 3x to the other side as -3x you will have: y-3x=1. That is option b).

4 0
3 years ago
» Seven more than a number, 2, is at most 20.
lisabon 2012 [21]

Answer:

i believe its 7 + x < 20

Step-by-step explanation:

3 0
3 years ago
Which fraction is equivalent to 1/6?
CaHeK987 [17]

Answer:

2/8

i think its 2/8

Have a great day !!

5 0
3 years ago
Read 2 more answers
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