Consider the line 2x + 4y=5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer 1

slope of the line is given by

2x+4y=5

4y=-2x+5

y=(-2/4)x+5/4

y=(-1/2)x+5/4

from, y=mx+c

m=-1/2

slope of a line parallel to this line

from, m1=m2

slope, m=-1/2

slope of a line perpendicular to this line

from, m1m2=-1

(-1/2)m2=-1

m2=2

slope, m=2


Related Questions

A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?

Answers

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

Answer:

D

Step-by-step explanation:

183.60

A group of 169 students needs to be seated in a square formation for a yearbook photo. Solve the equation 169 = s 2to find how many students should be in each

Answers

Answer:

13 students per row

13 rows total

(169\13=13)

Find −39÷(−13) help me

Answers

Answer:

3.

Step-by-step explanation:

- / - = +

-39 / -13

= 3

Trey has 75 in his saving account. Each month he deposits 25 into the account. Which expression shows the amount of money that Trey deposits in 3 months.

Answers

Answer: 75 + 25(3)

Step-by-step explanation:

From the question, we are informed that Trey has 75 in his saving account and that each month he deposits 25 into the account.

The expression that shows the amount of money that Trey deposits in 3 months would be:

= 75 + 25m

where, m = number of months

= 75 + 25(3)

= 75 + 75

= 150

8. (01.05 MC)
Which of the following equations represents the greatest value of x? (5 points)
Equation 1 Equation 2 Equation 3 Equation 4
x2 = 35 x3 = 64 = 125 x2 = 38
x3 =
Equation 1
Equation 2
Equation 3
Equation 4

Answers

equation 4 is the greatest

Answer:
Option C - Equation 3
Step-by-step explanation:
We have given the following equations:
Equation 1
when we solve the equation 1 we get, x= 4.89
Equation 2
when we solve the equation 2 we get, x= 4
Equation 3
when we solve the equation 3 we get, x= 5.29150
Equation 4
when we solve the equation 4 we get, x= 5
From above data Equation 3 has the greatest value of x.

A rectangle is formed by the intersection of the lines x = −1, y = −1, x = 5
and y = 3.

What is the perimeter and area of the rectangle?

Answers

Answer:

X angle

Step-by-step explanation:

If the number of medical school applicants was estimated to be 35,505,900 in January 2016, and the number of students admitted to medical schools was estimated to be 4% of the applicants, calculate the number of successful applicants.

Answers

Answer:

1,420,236

Step-by-step explanation:

According to the problem, computation of the given data are as follows,

Total number of applicants = 35,505,900

Applicants admitted = 4% of total number of applicants

So, Number of successful applicants = Applicant admitted percent × Total number of applicant

By putting the value, we get

Number of successful applicants = 35,505,900 × 4%

= 1,420,236

There are 48 students in Mrs. Mitra's computer class. At present, the ratio of the number of students to the number of computers in her class is 4 : 1. How many MORE computers does she need to buy to make this ratio 3 : 1?

A. 1 B. 3 C.3 D. 6

please give expiation also




 ​

Answers

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

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Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0

Answers

Answer:

  [tex]\sqrt{\frac{2x^{5} }{18} }[/tex]   = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]

Step-by-step explanation:

Given expression

            [tex]\sqrt{\frac{2x^{5} }{18} }[/tex]

we know that the algebra formula

[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]

[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]

          = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]

The equation for bryce's running rate is y=5x and for Laila it is y=8x. Who is running faster?

Answers

Answer:

8x

Step-by-step explanation:

Answer:

I think it is 8x

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Write in slope-intercept form.

Answers

It’s currently in point-slope form. To convert...

y-7=-3/4x-(15/4)
y=-3/4x-15/4+7
y=(-3/4)x+(13/4)

Marcus has different songs on his iPad 84 of the songs he downloaded were free of this number represents 24% of the total number of songs on his iPod how many songs does he have on his iPod

Answers

Answer:

84-24%=63.84

Step-by-step explanation:

help me please. its due soon

Answers

Answer: y = 11

Step-by-step explanation:

first, i collected the like terms.

7y + 9 = 4y + 42

then, i moved the terms.

7y - 4y + 42 - 9

then, i collected the like terms and calculated it.

3y - 33

finally, i divided both sides.

y = 11

Answer:

y = 11

Step-by-step explanation:

-5y + 12y + 9 = 4y + 42

Add like terms on the left side, -5y + 12y.

7y + 9 = 4y + 42

Subtract 4y from both sides.

3y + 9 = 42

Subtract 9 from both sides.

3y = 33

Divide both sides by 3.

y = 11

In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?

Answers

77% of the school want electronic newsletters, so 23% of the school want physical paper newsletters.

77% of 650 is 500.5.
23% of 650 is 149.5.

650/100 = 6.5
6.5x77 = 500.5
6.5x23 = 149.5

It's best to round that figure up to 150 as there will not be a parent who only needs half of the newsletter.

The number of paper newsletters the school needed is given by the equation A = 149.5

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 ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

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Please help me thanks please

Answers

Answer: 2827 cm squared is the answer

Determine which transformation took place from f(x) to g(x).

Translation.
Rotation.
Reflection.

Answers

Answer:

mali aaudina so sorry and again please don't asked me

WILL GIVE BRAINLIEST!!!!!!!!!!
There are approximately 33,600 species of fish in the world. About 32,928 species of fish come from the world's three largest oceans and of these, 23,520 species of fish come from the Pacific Ocean.

What is the probability of selecting a species of fish that comes from the Pacific Ocean given that a species of fish is selected from those coming from the world's three largest oceans?

A. 32,928/33,600
B. 23,520/32,928
C. 23,520/33,600
D. 9,408/32,928

Answers

Answer:  B. [tex]\dfrac{23520}{32928}[/tex]

Step-by-step explanation:

Let A = Event that species of fish comes from the Pacific Ocean .

B =  Event that species of fish comes from world's three largest oceans.

To find : P(A |B)

Formula : [tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Here,

[tex]P(B)=\dfrac{32928}{33600}\ \ \ [Probability =\dfrac{favourable\ outcomes}{Total outcomes}][/tex]

[tex]P(A\cap B)=\dfrac{23520}{33600}[/tex]

[tex]P(A|B)=\dfrac{\dfrac{23520}{33600}}{\dfrac{32928}{33600}}=\dfrac{23520}{32928}[/tex]

Correct option : B. [tex]\dfrac{23520}{32928}[/tex]

Answer:

B.

Step-by-step explanation:

geometry b final exam


Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2​

Answers

Answer:

Step-by-step explanation:

No matter what the value of y is, x = 2. That's exactly what the answer is.

The line is vertical and the equation is x = 2.

7th grade math help me please :)

Answers

Answer:

8x+10y cannot be simlified because they do not have a common variable

so until you find the value for x and y u cannot simplify

Answer:8 x+ 10 y can not be simplified .

Step-by-step explanation:

Explanation:This is because the term are not the same.8x has the term x while 10 y has the term y.

Stuck on this test answer all four

Answers

Answer:

8.) u=12.37

16.) p=75

17.) m=52

18.) n=112

Step-by-step explanation:

u-2.07=10.3

u=12.37

5=p/15

p=75

m/26=2

m=52

n/16=7

n=112

The table shows some values of x and y that satisfy the equation y=acosx + b

Answers

Answer:

By an online search, i found that the table is:

x = 0°       30°         60°    90°    120°      150°       180°

y= 10     4+3*√3        7       4       1        4 -3*√3      -2

Where x is in degrees.

And we want to find the value of y, when x = 45°.

And our equation is:

y = a*cos(x) + b

Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.

I will choose te points

x = 0°, y = 10

and

x = 90°, y = 4

Now we can replace these values in the equatio to get:

10 = a*cos(0°) + b

4 = a*cos(90°) + b

We know that:

cos(0°) = 1

cos(90°) = 0

(because of those relationships is that i choosen these points)

Replacing that in the equations, we get:

10 = a*1 + b = a + b

4 = a*0 + b = b

From the second equation, we get:

b = 4

Now we can replace this in the first equation to get:

10 = a + b = a + 4

10 - 4 = a = 6

Then our equation is:

y = 6*cos(x) + 4.

Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:

y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24


[tex] \frac{x { + 1}^{2} }{x - 2 {3}^{3[/tex]

Answers

Answer:

[tex] \frac{ {(x + 1)}^{2} }{ {(x - 2)}^{3} } [/tex]

3.(02.07)
Two similar triangles are shown below:
a
5
6
2.5
3
Which two sets of angles are corresponding angles? (4 points)
Za and Zd; Zb and 20
Za and Zc; Zb and zd
Za and Ze; Zb and zd
d
Za and Ze; Zb and ZC

Answers

Answer A

Step-by-step explanation:

The solution is, <a and <d; <b and <c, these two sets of angles are corresponding angles. of the triangles. So, correct answer is A. <a and <d; <b and <c.

Here, we have,

When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.

The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:

<a and <d; <b and <c.

Both set of angles are congruent to each other. In other words, they are equal.

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what is this question?
10x – 8x + 2 + 10=

Answers

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

Line p has a slope of 6/7. Line q is perpendicular to p . What is the slope of line q

Answers

Answer:

The slope of line q is -7/6

Step-by-step explanation:

To find the slope of a perpendicular line, you need to find the opposite reciprocal. So, flip the fraction (7/6) and then take the opposite, (-7/6).

Hope this helps!

2. Draw a line 1. Draw a perpendicular to lat any point on /
is
not required)​

Answers

Hahanndmdkksooawubwnsidimw

In a pet shop, there are generally 14 dogs for every 3 cats. How many cats would you expect if there were 98 dogs?

someone plz help me I have until 11:59pm

Answers

Answer:

21 cats

Step-by-step explanation:

98/14=7   7x3=21

Answer:

21 cats

Step-by-step explanation:

98/14=7

7 times 3=21

James is following this recipe to make flapjacks.
James uses 660 ml of syrup.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
60 g sugar
110 ml syrup
200 g oats
120 g margarine
30 g sultanas

Answers

8 flapjacks needs 110 ml of syrup
660/110 = 6
8 x 6 = 48
James is making 48 flapjacks

write an expression with a constant of -4 and a coeffiecient of 2

Answers

Answer:

2x^2 - 4

Step-by-step explanation:

- A "constant" in an equation is a number that stands alone, with no attached variable or exponents.

- A "coefficient" is a number placed before a variable that is multiplying with the variable. For example, 2 would be the coefficient of 2xy, because it is the number you are multiplying "xy" by.

What are the steps to the answer

Answers

For just solving the equation...

Multiply both sides of the equation by 4
-x-8=4x+12
Switch the variable and the constant
-x-4x=12+8
Collect terms
-5x=20
Divide both side by -5
x=-4

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