Find the equation of the straight line line passing through the point ( 0 , 1 ) which is perpendicular to the line y = -2x + 2

Answers

Answer 1

Step-by-step explanation:

y=-2x+2

hence the gradient is -2

gradient of perpendicular line

m1m2=-1

-2m2=-1

2m2=1

m2=1/2

so equation when m=1/2

m(x-x1)=y-y1

0.5(x-0)=y-1

0.5x-0=y-1

0.5x+1=y hence this is the equation


Related Questions

oint Q is plotted on the coordinate grid. Point P is at (40, −20). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? (5 points) On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 10, negative 20. Group of answer choices Point R is at (−10, −10), a distance of 30 units from point Q Point R is at (−10, −30), a distance of 50 units from point Q Point R is at (−10, 30), a distance of 50 units from point Q Point R is at (−10, 10), a distance of 30 units from point Q

Answers

Answer:

The Awnser Is C

Step-by-step explanation:

Hope This Helps! Have A Great Day

Answer:

I think it Is C 6..??

Step-by-step explanation:

I could me wrong IM srry also srry for late respond

-2x - 8y = -16
2x - 7y = -14

Answers

For the first one , if your solving for x , the answer would be : x=8-4y
For the first one , if your solving for y , your answer would be : y=2-x/4

2x-7y=-14
Solving for x : x=-7 +7y/2
Solving for y : y=2+ 2x/7

Answer:

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

-2x - 8y = -16

2x - 7y = -14

Step 2: Solve for y

Elimination

Add 2 equations together:                    -15y = -30Divide -15 on both sides:                       y = 2

Step 3: Solve for x

Define original equation:                    2x - 7y = -14Substitute in y:                                     2x - 7(2) = -14Multiply:                                                2x - 14 = -14Add 14 to both sides:                           2x = 0Divide 2 on both sides:                        x = 0

Step 4: Graph

Check the system.

14.) Mr. Lovell was playing cards with his son. In the first round he earned 52

points. In the second round he lost 20 points. How would you write this as

an addition problem?

Answers

Answer:

That would be;

+52-20

Step-by-step explanation:

From the first part, he gained/earned 52 points

This is a positive so we have + 52

In the second round , he lost 20

This is a negative so we have - 20

Writing this as an addition problem, it will be;

+52-20

Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following
equations represents his total cost?

A. y = 30x + 4
B. y = 34x
C. y = 4x + 30
D. y = 4x + 34

PLEASE HELPP!!!

Answers

Answer:

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

Step-by-step explanation:

Entry fee for fair = $30

Cost of one ride = $4

Cost of x rides = $4x

If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e

[tex]y=4x+30[/tex]

The required equation is:

[tex]y=4x+30[/tex]

So, Option C is correct option.

The sum of the ages of David and Morgan is 78 years. 7 years ago, David's age was 3 times Morgan's age. How old is David now?

Answers

Answer:

David is 55 years old

Morgan is 23 years old

__________________________________________________________

Step-by-step explanation:

Let the age of David = x years

Let the age of Morgan = y years

We are Given:

The sum of David and Morgan's age is 78

7 years ago, David's age was 3 times Morgan's age

__________________________________________________________

Making the equations:

from the first statement, the sum of their ages is 78

So, we can write it as:

x + y = 78

from the second statement,7 years ago, David's age was 3 times Morgan's age

David's age 7 years ago = (x - 7)

Morgan's age 7 years ago = (y-7)

So, we can write the equation as:

(x - 7) = 3(y - 7)

which can be simplified to:

x = 3y - 14

__________________________________________________________

Solving the equations:

We have the 2 equations:

x + y = 78x = 3y - 14

from the first equation, we can say that:

x = 78 - y

Using this value in the second equation:

x = 3y - 14

78 - y=  3y - 14                                                             [since x = 78 - y]

78 + 14 = 4y

4y = 92

y = 23

Using this value in the first equation:

x + y = 78

x + 23 = 78                                                                  [since y = 23]

x = 55

__________________________________________________________

The Age of David and Morgan:

Since we assigned x to the age of David:

David is 55 years old

We assigned y to the age of Morgan. So,

Morgan is 23 years old

Lol somebody tell me the awnser pls

Answers

Answer:

30

Step-by-step explanation:

Given equation:

y = 30x + 25

As per equation we can see that:

y - total costx - number of lessons30 - cost per lesson25 - registration fee

help pls! thank u! <3

Answers

Answer:

she completed 29  

Step-by-step explanation:

if she completed 8 in 6 she made 2  more so you add 2 to the 27 which is 29 hope that is the answer

EAST MATH PLS HELP ASAP PLEASE PLEASE
If one side of a square is represented by x + 7, and the perimeter of the square is
represented by 8x - 20, what is the value of X?

Answers

4(x+7)=8x-20

4x+28=8x-20

28=4x-20

48=4x

x=12

Can you please help me find answer to question 10 and 11? I need to show my work. I am lost!!!

Answers

Answer:

I think u need to add the sum and equal to 180 reason supplement angle then that's is process

A full glass of water can hold á of a bottle.
How many glasses of water can be filled with 3 bottles of water?

Answers

Answer:

2

Step-by-step explanation:

lol

What economic system is controlled by private owners with little government influence?

A) Capitalism
B) Chartered companies
C) Market economy

Answers

Answer:

Capitalism is a type of economic system in which trade and industry are driven by private owners and the individual rather than the government

Step-by-step explanation:

please mark me as brainlist please

Answer: C Market economy

Step-by-step explanation: Its this because i just finished this test and i like seeing if people had the same test as me so.        You Welcome

HELPP
Whaaaa the slope????

Answers

Answer:Mx +b

Step-by-step explanation:

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Hope this helps

If cosθ=3/5, find tanθ

Answers

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

cos(x)=adjacent/hypotenuse

We are given: cosθ=3/5

Therefore, the adjacent is 3 and the hypotenuse is 5.

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

hellllp me plllllllzzzzzzzz​

Answers

Answer:

x = 4

QS = 20

Step-by-step explanation:

PS is all the numbers added together.

PQ + QR + RS = PS

(PLUG IN)

8 + 3x - 1 + 9 = 28 (collect like terms)

3x + 16 = 28 (subtract 16 on both sides)

3x = 12 (divide by 3 on both sides)

x = 4

QR + RS = QS

(PLUG IN)

3(4) - 1 + 9 = QS (distribute)

12 - 1 + 9 = QS (collect like terms)

20 = QS

Hope this helps ya!!

Please I will get punished if this is not done brainliest will be given use 6 to answer 9

Answers

Answer:

primary data is the data that you measured yourself, secondary data would be data that was measured for u

Step-by-step explanation:

for example if the NBA players heights was taken off an online chart, thats secondary data. If you took inventory of textbooks yourself, its primary data.

Answer:
6. B (I’m not sure tho)

Which is the better buy?
17-ounce jar of pickles for $8.84
2-pound jar of pickles for $25,28

Answers

Answer:

The 17 ounce. Less money per pickle.

Step-by-step explanation:

1 pound = 16 ounce
2 pound = 32 ounce
8.84/17 = $0.52 per ounce
25.28/32 = $0.79 per ounce

Based on those, the 17 ounce jar has a better deal

You randomly choose two shapes from the bag, with replacement. Find the probability of choosing a star and then a circle. Write your answer as a fraction in simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

What's the equation of a horizontal line through the point (4,-6)

Answers

y=-6 would be one equation

PLZZZZ HELP MEEEEE FASTTTTT I GONNNA CRY
At a local garden shop, a customer pays $48 for 5 gerber daisies and 4 lily-of-the-valleys. Another customer pays $58 for 4 gerber daisies and 6 lily-of-the-valleys. Part A: Write a system of equations you can use to find the cost x of one gerber daisy and the cost y of one lily-of-the-valley. Part B: Solve the system of equations. Show your work or explain your steps.

Answers

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5

g

+

4

l

=

48

4

g

+

6

l

=

58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20

g

+

16

l

=

192

20

g

+

30

l

=

290

Subtract the first equation from the second gives:

14

l

=

98

which dividing by 14 gives

l

=

7

Substituting the value

l

=

7

in the first equation gives:

5

g

+

28

=

48

Subtract 20 from both side gives:

5

g

=

20

divide by 5 gives

g

=

4

So, a lily costs $7 and a geranium costs $4.

Answer:A lily costs $7 and a geranium $4.

Step-by-step explanation:From the question we can write two equations. let the number of lilies be L and the number of geraniums be g, then:

5g+41=48

4g+6 L=58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other, gives:

20g + 16 L=192

20g + 30 L=290

Subtract the first equation from the second gives:

14 L =98 which dividing by 14 gives L=7

Substituting the value L = 7

in the first equation gives:

5g + 28 = 48

Subtract 20 from both side gives:

5g = 20

divide by 5 gives

g = 4

So, a lily costs $7 and a geranium costs $4.

a 3 foot wide wood deck will be built around a rectangular shaped pool that measures 15 feet by 30 feet. the resulting deck shape is also rectangular. if the lumbar cost is $10 square yard. what is the cost of the wood for the deck?

Answers

Answer:

she has some big feet

Step-by-step explanation:

do u know th

what is the quotient of -45/-5

Answers

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Solve for x pls help i don’t wanna fail :) if u don’t that’s fine

Answers

[tex]\huge\frak{Answer:-}[/tex]

[tex](8x - 8) + {100}^{\degree} = {180}^{\degree} [/tex]

[tex]\implies8x - 8 = 180 - 100[/tex]

[tex]\implies8x - 8 = 80[/tex]

[tex]\implies8x = 80 + 8[/tex]

[tex]\implies8x = 88[/tex]

[tex]\implies x = \frac{88}{8} [/tex]

[tex]\implies x = 11 \: (a)[/tex]

Why did we used the equation "(8x - 8) + 100° = 180°" to find x?

Because, sum of interior angle in the same side of two parallel lines are always equal to 180°.

Don't forget to give the "°" symbol ;)

Factor the expression: 400+ 100​

Answers

Answer:

400+100 = 500

Step-by-step explanation:

ya thats the sum

Answer:

500

Step-by-step explanation:

400+100 is 500

There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the recital?

Answers

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

State if the triangles in each pair are similar. If so, state how you know they are similar.

Answers

Answer:

A) similar; SAS similarity.

Step-by-step explanation:

SAS Triangle Similarity

The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5

Sides JK and BC have a ratio of 81/18 = 4.5

Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.

A) similar; SAS similarity.

Find the equation of a line that passes through the points (-1,-3) and (1,-5).
Leave your answer in the form y = mx + c​

Answers

Answer:

Y= -1x - 4

Step-by-step explanation:

Every year on November 1, the Stablo family plants a tree. This tradition has
happened for generations and the first tree the family planted is now 183 years
old. Two of the trees were planted in their backyard; one is an apple tree and the
other is a maple tree. The maple tree is older than 100, but was not the first tree
planted. On November 1 of this year, the age of the maple tree is fifteen times
the age of the apple tree.
On November 1 of some year from now, the age of the maple tree will be eleven
times the age of the apple tree. How old are the trees that year?

Answers

Answer:

64

Step-by-step explanation:

rff

Find the area of a square is 12cm find the length​

Answers

Answer:

The length would be l=3.46

Step-by-step explanation:

Describe the likelihood that a point chosen inside the circle will also be inside the hexagon?

Answers

Answer: likely

Step-by-step explanation:

B) Likely

Step-by-step explanation:

i just just answered the question on e d g e n u i t y

i hope this helps <3

Tyson can paint 5 pictures in 12 ½ hours. At this rate, which proportion can be used to find p, the number of pictures he can paint in 8 hours?

Answers

5/12.5 = p/8
0.4 = p/8
P = 3.2 pictures
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