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Mademuasel [1]
3 years ago
7

write the equation of the line that passes through the point and is perpendicular to the given line (3,6) ; 2x- 6y = 12

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer: See Below

Step-by-step explanation:

Line equation is y = ax +b. We need to solve for a and b

First we will solve for the slope (a)

Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.

2x - 6y = 12

-6y = -2x + 12

y = (1/3)x - 2

This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3

We can plug that slope into our line equation in place of a

y = -3x + b

Now we can plug in (3,6) to solve for b

y = -3x + b

6 = -3(3) + b

6 = -9 + b

15 = b

Therefore our line equation is:

y = -3x + 15

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Anybody knows the answer?
soldi70 [24.7K]

Hey!


RS = 15 and RT = 18. Subtract 18 from 15 to get your answer.


18 - 15 = 3


<em>That means your answer is 3</em>


\framebox{Answer = 3}

8 0
3 years ago
Read 2 more answers
Cara evaluated the expression below. (4(7-13))÷3+(-4)²-2(6-2) =(28-13)÷3+(-4)²-2(4) =15÷3+16-8 =5+16-8 =13 What was Cara’s error
mezya [45]

Answer:

the answer is the first one, Cara multiplied only 4 and 7 together and did not multiply 4 and 13

Step-by-step explanation:

if you look through the question you can see that Cara evaluated the (-4)^2 correctly because a negative multiplied by a negative gives you a positive thus (-4)*(-4)= 16, then next you can see that Cara subtracted 2 from 6 correctly because (6-2)= (4), and last but not least Cara did multiply 2 by 4 correctly because 2*4 or 2(4) =8 so as you can see the answer is the first one

3 0
3 years ago
Read 2 more answers
Lisa is now six years older than Cheryl. In two years, Lisa will be twice as old as Cheryl. How old is Lisa now?
Elena-2011 [213]
--------------------------------------------------
Define x :
--------------------------------------------------
Let Cheryl be x years old.
Cheryl = x
Lisa = x + 6

--------------------------------------------------
In two years time:
--------------------------------------------------
Cheryl = x + 2
Lisa = x + 8

--------------------------------------------------
Lisa will be twice as old as Cheryl :
--------------------------------------------------
x + 8 = 2(x + 2)

--------------------------------------------------
Solve x :
--------------------------------------------------
x + 8 = 2(x + 2)
x + 8 = 2x + 4
x = 4

--------------------------------------------------
Find their age :
--------------------------------------------------
Cheryl = x = 4
Lisa = x + 6 = 4 + 6 = 10

--------------------------------------------------
Answer: Lisa is 10 years old now.
--------------------------------------------------
4 0
3 years ago
Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.
Gemiola [76]

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0
3 years ago
Jonas solved an equation incorrectly, as shown below:
alexandr1967 [171]
So first he has to divide both sides by 8
wat
he multiplied the right side by 8 but divided left by 8
that is wrong


answer is 4th option
divid not divide 56 by 8
6 0
2 years ago
Read 2 more answers
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