what line is perpendicular to the line y=2x+4 ? what line is parallel to line y + 2x+4 ? *options are for both answers*

What Line Is Perpendicular To The Line Y=2x+4 ? What Line Is Parallel To Line Y + 2x+4 ? *options Are

Answers

Answer 1

Given the line : y = 2x + 4

the general equation of the line is y = mx + b

where m is the slope , b is the y intercept

By comparing the given line with the general form

so, the slope of the given line is :

m = 2

the slope of the perpendicular line will be = -1/m

so, the slope of the perpendicular line = -1/2

The slope of the parallel line = the slope of the given line

So, the slope of the parallel line = 2

so, the answer is:

the perpendicular line is : y = (-1/2) x + 10

The parallel line is : y = 2x + 1


Related Questions

8. It takes Joe 12 minutes to ride a roller
coaster four times. Create a table to represent
the relationship between the total time, y, and
the number of rides, x.

Answers

The required table, which represents the relationship between the total time y and the number of rides x,
x         y[min]
1          3
2         6
3         9

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let,
Total time of ride a roller is directly proportional to the number of rides, x
y = kx
where k is the rate constant,
put y = 12 and x = 4
12 = 4k
k = 3
Now,
y = 3k
From the above expression, a table can be deduced.

Thus, the solution is given in the table as.
x         y[min]
1          3
2         6
3         9

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

The coordinates of one endpoint of a line segment are (4, - 12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coorblinate pairs in the box using a comma to separate each pair. For example:

Answers

Solution:

Starting point = (4, -12)

Length = units

Along the y axis, the endpoints could be

(4, -7) and (4, -17)

Along the x- axis, the endpoints could be

(9, -12) and (-1, -12).

The answer is (4, -7), (4, -17), (9, -12), (-1, -12).

write write in equal inequalities to represent each situation Molly went shopping in her bank account got below 7.50

Answers

[tex]\begin{gathered} \text{account balance = x} \\ x<7.50 \end{gathered}[/tex][tex]\begin{gathered} y=\text{ exam question} \\ y\leq25 \end{gathered}[/tex]

b=3 what does b(b-5) equal please

Answers

Answer:

= -6

Step-by-step explanation:

Substitute it in:

3(3-5)

Calculate the difference:

3(-2)

Then multiply to get an answer:

= -6

Matikas is writing a coordinate proof to show that the midpoints of a quadrilateral are the vertices of a parallelogram. He starts by assigning coordinates to the vertices of quadrilateral RSTV and labeling the midpoints of the sides of the quadrilateral as A, B, C, and D.

Quadrilateral R S T V in a coordinate plane with vertex R at 0 comma 0, vertex S in the first quadrant at 2 a comma 2b, vertex T also in the first quadrant at 2 c comma 2 d, and vertex V on the positive side of the x-axis at 2 c comma 0. Point A is between points R and S, point B is between points S and T, point C is between points T and V, and point D is between points R and V.

Enter the answers, in simplified form, by filling in the boxes to complete the proof.

The coordinates of point A are (
,
).

The coordinates of point B are (a+c, b+d) .

The coordinates of point C are (
,
).

The coordinates of point D are (c, 0) .

The slope of both AB¯¯¯¯¯ and DC¯¯¯¯¯ is dc .

The slope of both AD¯¯¯¯¯ and BC¯¯¯¯¯ is
.

Because both pairs of opposite sides are parallel, quadrilateral ABCD is a parallelogram.

Answers

(a,b) = coordinate of point A , (2c,d) = coordinate of point C , slope of AD and BC = [tex]\frac{b}{a-c}[/tex]

What is coordination?

A set of values ​​representing the location of a point on the coordinate plane using horizontal and vertical distances from two reference axes. Often expressed as (x,y), where the x value and

As per the midpoint formula

we have points P(x1,y1)  and Q (x2, y2)

Now  mid point of line PQ is

[tex]x = \frac{x1+x2}{2} , y =\frac{y1+y2}{2}[/tex]

Here,  the mid point of line joining  R(0,0) and S(2a,2b)

By midpoint formula, coordinates of point A

[tex]x = \frac{0 + 2a}{2} =a , y = \frac{0+2b}{2} = b[/tex]

so

coordinate of point A is (a,b)

[tex]Also, C. is \\ the midpoint of line joining \\T (2c,2d) and V(2c,0)[/tex]

coordinate of point C is given by

[tex]x = \frac{2c+2c}{2} = 2c, y = \frac{2d+0}{2} = d[/tex]

so we have

(2c,d) = coordinate of point C

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

If we have points P(x1,y1)  and Q (x2,y2)

then the slope of PQ =[tex]\frac{y2-y1}{x2-x1}[/tex]

hence slope of AD= [tex]\frac{0-b}{c-a}[/tex]

                                =[tex]\frac{b}{a-c}[/tex]

                       

and slope of BC  =[tex]\frac{d-(b+d)}{2c-(a+c)} \\[/tex]

                           =[tex]\frac{b}{a-c}[/tex]

both of the ,slope of AD and slope of BC are same  = [tex]\frac{b}{a-c}[/tex]

To know more about coordinate visit:

https://brainly.com/question/27749090

#SPJ9

Mike bought 4 basketballs for $62. What was the price per basketball?

Answers

Answer: The answer would be $15.50 per basketball

Step-by-step explanation:

If mike bought 4 basketball for 62 dollars you have to divide 62 and 4. Which equals 15.5 so in dollars it would be 15 dollars and 50 cents or $15.50.

what is 5(−3.4k−7)+(3k+21) pls

Answers

Basically distribute first then add like terms. I attached what I did

Find the area of the triangle below.Be sure to include the correct unit in your answer.15 yd117 yd23 yd

Answers

Given data:

The given figure of the triangle.

The expression for the area of the triangle is,

[tex]\begin{gathered} A=\frac{1}{2}(23\text{ yd)(7 yd)} \\ =80.5\text{ sq-yds} \end{gathered}[/tex]

Thus, the arres of the given triangle is 80.5 sq-yds.

Will mark As Brainliest pls answer the 5 questions

Answers

The required solution of the linear equation is x = 6.

What is linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given [tex]\frac{3x}{2} - \frac{2x}{3}=5[/tex]

[tex]\frac{3x}{2} - \frac{2x}{3} = 5\\ \Rightarrow \frac{9x-4x}{6} = 5\\ \Rightarrow \frac{5x}{6} = 5\\\Rightarrow 5x = 30\\\Rightarrow x = 6[/tex]

Therefore, the required solution of the linear equation is x = 6.

To learn more about linear equation from the given link

https://brainly.com/question/4074386

#SPJ1

Which is a better estimate for the weight of a winter coat?
2 tons
2 pounds

Answers

Answer:

2 pounds is the correct answer because 2 tons would be to much for any human to hold / wear

Given two sides of a triangle, find a range of possible lengths for the third side.

Answers

Using the triangle inequality theorem,

b - a < X < a + b

Hence,

17 - 4 < x < 17 + 4

13 < x < 21

Hence, the third side lies between 13cm and 21 cm

For a field trip 23 students rode in cars and the rest filled 4 buses how many students were in each bus if 111 students were on the trip.

Answers

Let b be the number of students that were in each bus, since 111 students were on the trip, 23 students rode in cars, and the rest filled 4 buses, then we can set the following equation:

[tex]111=23+4b\text{.}[/tex]

Subtracting 23 from the above equation we get:

[tex]\begin{gathered} 111-23=23+4b-23, \\ 88=4b\text{.} \end{gathered}[/tex]

Dividing the above equation by 4 we get:

[tex]\begin{gathered} \frac{88}{4}=\frac{4b}{4}, \\ b=22. \end{gathered}[/tex]

Answer: 22 students.

Need help with homework

Answers

we have the expression

[tex]10-4+2(4)^2[/tex]

step 1

squared 4 before multiplying

[tex]\begin{gathered} 10-4+2(16) \\ 10-4+32 \end{gathered}[/tex]

therefore

step 1 is incorrect

Justine's work is incorrect

the answer is option N 1

At the beginning of a baking session, there were 2.26 kilograms of flour in the bag. By the end if the baking session, there was 0.98 kilograms of flour in the bag. What is the percent of decrease, rounded to the nearest tenth, for the amount of flour?

Answers

The percent of decrease, for the amount of flour, is 56.63%.

What is percentage?

A percentage is a number that tells us how much out of 100.

Given that, at the beginning of a baking session, there were 2.26 kilograms of flour in the bag, by the end if the baking session, there was 0.98 kilograms of flour in the bag

The amount percentage left = (2.26 - 0.98)/2.26*100 = 56.63%

Hence, The percent of decrease, for the amount of flour, is 56.63%.

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ1

5. Write whether each expression is a monomial or a binomial.а. Зуb.(-9) +hC. Wr + 5wrd. -7aghe. 2f. k + 126. Simplify these expressions.8n + (-9p) + (-2p)

Answers

A monomial is an expression with a single term. A binomial is an expression with 2 terms.

Looking at the given question,

a. 3y is a single term. Thus, it is a monomial

b. - 9 + h. The expression has two terms. It means that it is a binomial

c. Wr + 5wr is also a binomial

d. -7agh is a monomial

e. 2 is a monomial

f. k + 12 is a binomial

help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

Sup guy can i have help 420 points up for grab



-(x-8y+27)

Answers

Answer:

-x+8y-27

Step-by-step explanation:

-(x-8y+27)

so the sub symbol is kinda just 1 sense there isnt anything else for there

-1(x-8y+27)

now just like group them or smt

-1(x)+(-1)(-8y)+(-1x27)

so yea then tou multiply all of them and then

-x+8y-27

also

- x - = +

+ x + = +

- x + = -

Which function has the greatest y-intercept?

f(x)
h(x)
g(x)

Answers

Answer:

h(x)

Step-by-step explanation:

y-intercept is shorthand for  ' y - axis intercept'

the graph which intercepts the y-axis the highest is   h(x)

let angle B ne an acute angle in a right triangle. approximate the measure ot angle B to the nearest tenth of a degree when cos B = 0.2536.

Answers

Given that

[tex]\cos B=0.2536[/tex]

We can find the measurement of angle B by getting the cosine inverse/arccos of 0.2536, which is calculated as follows

[tex]\begin{gathered} B=\cos ^{-1}(0.2536) \\ B=75 \end{gathered}[/tex]

The problem requires that our answer is in the nearest tenth, hence, rounding off 75 to the nearest tenth, we get 80 degrees. Therefore, angle B has a measurement of 80 degrees.

Additional note that when computing such a problem, the calculator must be in terms of degrees, not radians.

Which graph shows the ordered triple (2, 3, 3) plotted correctly?

Answers

Answer:

the answer is D

Step-by-step explanation:

What is the formula for the sequence
1, 6, 12, 19, 27 ?

Answers

Answer: the formula is 5,6,7,8,9,10 every step plus one

Step-by-step explanation:

1+5 =6

6+6=12

12+7=19

19+8=27

27+9=36

Transform the given general equation to standard equation
x2 + y2 - 4x + 4y - 4 = 0
please answer my question, thank you!

Answers

Answer:12

Step-by-step explanation:

1) Frank walks to school 35% of the time. If there are 180 days in a school year, how many days did he walk to school?

Answers

Answer:

63 days

Explanation:

Given the total number of days in a yesr = 180 days

Percent of the time he walks to school = 35 %

Number of days he walks to school = 35% of 180

Number of days he walks to school = 0.35 * 180

Number of days he walks to school = 63 days

Hence the number of days he walked to schools is 63 days

1-You are werdding photograher. You are preparing to photograph wedding party consisting of 5 bridemaids. 5 groomsmen, the bride, and the groom. How many people should be in this photo ?

Answers

EXPLANATION

In this photo should be 5+5+1+1=12 people.

The answer is 12 people.

12 total people= 5 bridesmaids +5 groomsmen +1 bride +1 groom

Sam and Rohan's families are driving to Chicago, Illinois, from Orlando, Florida. Sam's
family is driving a direct route of 1,157 miles at 65 mph. Rohan and his family are driving
through Charlotte, North Carolina and will drive 1,250 miles at 70 mph.

At this rate, how many hours will it take Sam's family to get to Chicago, Illinois?
(Round your answer to the tenths place.)

Answers

The time taken for Sam's family to get to Chicago, Illinois is 17.8 hours.

How many hours will it take Sam's family to get to Chicago, Illinois?

Sam's family:

Total distance = 1,157 milesAverage speed = 65 mphTime taken = ?

Average speed = Total distance / Time taken

65 = 1, 157 / time

cross product

65 × time = 1, 157

Time = 1,157 / 65

Time = 17.8 hours

Roshan's family:

Total distance = 1,250 milesAverage speed = 70 mphTime taken = ?

Average speed = Total distance / Time taken

70 = 1,250 / Time

cross product

70 × time = 1,250

Time = 1,250/70

Time = 17.86 hours

Approximately,

17.9 hours

In conclusion, it will take Rohan's family 17.9 hours to get to Chicago, Illinois.

Read more on time taken:

https://brainly.com/question/4931057

#SPJ1

please need help with this ASAP

Answers

Answer:

[tex]\sf \dfrac{1}{2} \pi \;\overline{TM}[/tex]

Step-by-step explanation:

The angle at the circumference in a semicircle is a right angle.

Therefore, as  [tex]\sf \overline{OS}[/tex]  is the diameter of circle T, and point Q is on the circumference of the circle:

m∠SQO = 90°

Therefore, if m∠MTN = m∠SQO then:

m∠MTN = 90°

Angles around a point sum to 360°.

As 90° is one quarter of 360°, the measure of arc MN is one quarter of the circumference of circle T.

The circumference of a circle is 2πr, where r is the radius.

Therefore:

[tex]m\sf \overset{\frown}{MN}=\dfrac{2 \pi r}{4}=\dfrac{1}{2} \pi r=\dfrac{1}{2} \pi \;\overline{TM}[/tex]

Solve the system of equations by the addition method.
4x + 5y = 39
(3x – 2y = − 11

Answers

The value of x = 1,  y=7

From the question, we have

4x + 5y = 39 .............(i)

3x – 2y = − 11 ...........(ii)

multiply equation (i) by 2, we get

8x + 10y = 78 .............(iii)

multiply equation (ii) by 5, we get

15x – 10y = −55 .............(iv)

adding equation (iii) and equation (iv), we get

23x = 23

x = 1

substituting the value in equation (iii),  we get

y = 7

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

To learn more about addition visit: https://brainly.com/question/680614

#SPJ1


How do I solve this?

Answers

Answer:

12

Step-by-step explanation:

Rewrite 16 as 4 ^ 2...

[tex]\sqrt[3]{4^2}[/tex]

Pull terms out from under the radical, assuming positive real numbers...

3 x 4

Multiply 3 by 4...

12

Hope this helps! :)

twelve more than two times a
number is twenty-two

Answers

Answer:

5 is the number

Step-by-step explanation:

2x + 12 = 22

2x+12-12 = 22-12

2x = 10

2x÷2 = 10÷2

x=5

Plug x back in the equation and check the answer.

2(5)+12 = 22

10+12 = 22

22=22

It checks out!

Between which rational numbers does 30−−√ fall?

Answers

Rational number which does the square root of 30 fall is between 5 and 5.5.

Define rational number.

A rational number is any number that can be expressed as a ratio (or fraction) of two integers. p/q where q is not equal to 0 is the form of a rational number, which is a sort of real number in mathematics. A rational number is any fraction with a non-zero denominator. 1/2, 1/5, 3/4, and other like numbers are a few examples of rational numbers.

Given,

25 and 36, which are the squares of 5 and 6, respectively, are the perfect squares that are most similar to 30.

Therefore, the square root of 30 will lie between 5 and 6. Additionally, the square root of 30 will be between 5 and 5.5 because it is closer to 25 than it is to 36.

To learn more about rational number, visit:

https://brainly.com/question/24398433

#SPJ1

Other Questions
w14. Given: WX || YZ, WX = YZProve: AWXZ AYZXZ Writing the equation for each line. slope 6 and y-intercept (0,-2). The measures of the angles of a triangle are shown in the figure below. Solve for x. 47 74 A flower garden is shaped like a circle. Its radius is 18 yd. A ring-shaped path goes around the garden. The width of the path is 5 yd.The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd^2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for pi.) I need help evaluating/answering this! One gram is approximately 2.2 x 10-pounds. Which of the following represents this number in standard notation? OA. 0.0022 OB. 0.022 OC. 2200 OD. 0.00022 Please assist with following question Why is it not possible for Fungi to photosynthesize? What reproduction method occurs in Fungi? the probability of the complement of an event is _______ less than the probability of the event itd self possible answers sometimesalwaysnevernot enough information provided to answer the question Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matinees cost $2 each. Without thepass each movie is normally $6. If Seth plans to go to 30 movies this summer how much money would he save? A gardener wishes to create raised beds. She wants the bedsto follow the golden ratio. If the shorter side is 4 feet, whatwill be the longer side of the beds? Round answer to the nearesttenth. Mia is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $3 per mile driven. Company B charges an initial fee of $85 for the rental plus $2 per mile driven. Let AA represent the amount Company A would charge if Mia drives xx miles, and let BB represent the amount Company B would charge if Mia drives xx miles. Write an equation for each situation, in terms of x,x, and determine which company would be cheaper if Mia needs to drive 80 miles with the rented truck. 9. The hydrophobic interior of the lipid bilayer is largely responsible for controlling the movement ofa. small non-polar molecules.b. sodium ions.c. carbon dioxide.d. oxygen.e. water. write and equation in slope-intercept form to represent each table x-3,6,9,12 y-5, -1, -7, -13 a freight train, traveling at a speed of 60km/h, passes a light post over the course of 30 seconds. what is the lenght of the train An orange solid cannot be broken down into simpler components by any physical methods. When it is heated, a chemical reaction takes place and a colorless gas and a silvery liquid form. Further tests on the resulting substances shows that they cannot be broken down further by physical or chemical methods. What type of substance is the original orange solid?. A rectangular box, closed at the top, with a square base, is to have a volume of 4000 cm^ 3 . W What must be its dimensions (length, width, height ) if the box is to require the least possible material? this was due two days ago what does the fly mean in I heard a Fly buzz - when I diedThe Stillness in the RoomWas like the Stillness in the Air -Between the Heaves of Storm -The Eyes around - had wrung them dry -And Breaths were gathering firmFor that last Onset - when the KingBe witnessed - in the Room -I willed my Keepsakes - Signed awayWhat portion of me beAssignable - and then it wasThere interposed a Fly -With Blue - uncertain - stumbling Buzz -Between the light - and me -And then the Windows failed - and thenI could not see to see - Find the slope of each line what is evaluate 5-(6/3)