MATHEMATICS MIDDLE SCHOOL

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3). y = 2x + 6

y = - x + 3

y = - x + 6

y = 2x + 3

Answers

Answer 1
Answer:

The equation of line is:

y=-(1)/(2)x+6

Further explanation:

Given

y = 2x + 2

Comparing it with standard form:

y=mx+b

Let m1 be the slope of given line

m_1=2

We know that product of slopes of two perpendicular lines is -1

Let m2 be the slope of second line

m_1.m_2=-1\n2*m_2= -1\nm_2 = -(1)/(2)

Putting the value of m2 in standard form

y=-(1)/(2)x+b

To find the value of b, putting (6,3) in equation

3=-(1)/(2)(6)+b\n3=-3+b\n3+3=b\nb=6

Putting the values of b and m, we get

y=-(1)/(2)x+6

The equation of line is:

y=-(1)/(2)x+6

Keywords: Slope, Point-slope form

Learn more about slope at:

#learnwithBrainly
Answer 2
Answer:

Answer:

its actually c

Step-by-step explanation:

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One case can hold 3 boxes.Each box can hold 3 binders.How man cases are needed to hold 126 binders?

Answers

14 because 126 ÷3=42 and 42÷3 =14
14 because if 1 case held 3 boxes and 3 boxes held 3 Binders, that means u would have to divide 3 by 126 which equals 42 and u would have to divide that by 3 which equals 14.

which of the following is an equation of a line parallel to the equation y=(1)/(2) x+1

Answers

Answer:

Any equation of a line having a slope of 1/2.

Step-by-step explanation:

It appears that the question gives answer choices and this problem could have many solutions, but parallel lines have equal slopes. The slope of this line is 1/2 since it is in y=mx+b form where m is the slope. So a few examples of equations of lines parallel to the given equation would be y = 1/2x - 5 or y = 1/2x + 10 etc.

Emma drank 1/4 of a milk shake in 1/12 of a minute. How many minutes will it take to drink the full shake?Mike plays 1/2 of a song in 1/8 of a minute. How many minutes will he need to a full song?

Answers

a) The time for Emma to drink one full shake of milk is given by the equation E = 1/3 of a minute = 20 seconds

b) The time for Mike to play a full song is given by the equation M = 1/4 of a minute = 15 seconds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the time for Emma to drink one full shake of milk be E

Now , the equation will be

The time for Emma to drink 1/4 of a milk = 1/12 of a minute

So , the time for Emma to drink one full shake E = 4 x time for Emma to drink 1/4 of a milk

Substituting the values in the equation , we get

The time for Emma to drink one full shake E = 4 x ( 1/12 )

On simplifying the equation , we get

The time for Emma to drink one full shake E = 4/12

The time for Emma to drink one full shake E = 1/3 of a minute

The time for Emma to drink one full shake E = 20 seconds

b)

Let the time for Mike to play a full song be M

Now , the equation will be

The time for Mike to play 1/2 of a song = 1/8 of a minute

So , the time for Mike to play a full song M = 2 x time for Mike to play 1/2 of a song

Substituting the values in the equation , we get

The time for Mike to play a full song M = 2 x ( 1/8 )

On simplifying the equation , we get

The time for Mike to play a full song M = 2/8

The time for Mike to play a full song M = 1/4 of a minute

The time for Mike to play a full song M = 15 seconds

Hence , the equations are solved

To learn more about equations click :

brainly.com/question/19297665

#SPJ2
1/4*4=1 (The entire shake)

1/12*4=1/3 of a minute

Thee answer to the 1st question is 1/3 of a minute

1/2*2=1 (The entire song)

1/8*2=1/4 of a minute

The answer to the 2nd question is 1/4 of a minute

Idk anymore..............

Answers

18 - (3 1/8) - (4 1/2) = 10.375


/ 9/16 we get 8.444

So 8 patties x 3.12 = $24.96

on June 1, 2013, the number of hours of daylight in Anchorage, Alaska was 18 1/4 hours. what was the number of hours without daylight?

Answers

ok if there is 24 hours in a day just do this 

24-18 1/4=5.87

so there were 5 3/4 of day like that was not there!

How do you now 11/33 is a simplest form

Answers

it is not the simplest form. the simplest form would be 1/3. this is because with such a fraction as 11/33, you have a common factor with them, which is 11. reduce the fraction until there are no common multiples for the numerator and demonimator. 

33=11+11+11 so 11/33=11/(11+11+11) represent a third part of an integer
so 11/33=11/(3x11)=(11/11)x(1/3)=1/3=0,(3) can be simplified by 11, so its not  simple form as 1/3 is
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