Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Answers

Answer 1

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+bParallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

Related Questions

Find the value of x in each case. Give reasons to justify your solutions!

Answers

Answer:

Look at the attachment

The original price of a plane ticket was reduce by 150 if p= the ticket original price in dollars which algebraic expression represents the reduced price?

Answers

Answer:

p-150

Step-by-step explanatio

p=precio

reducido=150

se redujo, quiere decir que es "-"

Entonces dice "que expresión presenta el precio reducido"

Entonces sería:

(precio) - (reducido)

p-150

What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles

Answers

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/(x2-x1)

    = (280-210)/(8-6)

    = 70/2

    = 35 miles per hour

Answer: 1hr/35miles

Step-by-step explanation:

Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3

Answers

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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what is the discriminant of f(x)=-x^2-x+5?

a.-21
b.0
c.2
d.21

Answers

Answer: d. 21

Step-by-step explanation:

The formula to find a discriminant is b^2-4ac.

ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!

(-1)^2-4(-1)(5)=

1-4(-5)

1+20

21

The discriminant is 21.

Hope this helps!

The answer is D I hope this helps

The fabric for Isabella’s new dress is sold by the yard. The pattern for the dress requires 8 feet of fabric. How many yards of fabric does Isabella need to purchase if 1 yard is equal to 3 feet?

1 third yard

2 2 over 3 yards



6 yards

24 yards

Answers

Answer:

2 2/3 yd

Step-by-step explanation:

Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?

8 ft x 1 yd/3 ft = 8/3 yd

As a mixed number:

8/3 = 2 2/3 yd of fabric

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of r and u, 13, 14, 15, 16.

How many angles are alternate exterior angles with angle 5?

Answers

Answer:

The answer is 7 angles.  

Step-by-step explanation:

There 7 alternate exterior angles with angle 5.  

Correct me if I'm wrong!

Thank you!!!

The angle that is alternate exterior angles to angle 5 is ∠11 and it is only one.

What is an alternate exterior angles ?

The alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.

Generally, when a tranversal line cut parallel lines, various angles are formed such as corresponding angles, alternate angles, verticallly oppposite angles.

Hence, the angle that is alternate exterior angles with angle 5 is as follows:

∠11

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HELP ME PLZ NOT A TEST !!!!!!!!!!!!!!!!! ITS A REVIEW AND I DONT GET IT I NEED TO KNOW THE STEPS AND THE AWNSER

Answers

Answer: See below

Step-by-step explanation:

1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.

5²×3=25×3=75

A shows 75.

-----------------------------------------------------------------------------------------------------------------

2. You need to first distribute each factor and then combine like terms.

-14a+10b+20a-32b+2

6a-22b+2

B

-----------------------------------------------------------------------------------------------------------------

3. You need to first distribute each factor and then combine like terms.

-6n+30+18n-12

12n+18

D

Please help!

A bus traveled 120 miles on a highway in 2 1/2 hours. If the bus traveled at a constant speed, what was the speed of the bus in miles per hour?

Answers

Answer:

48 miles per hour

Step-by-step explanation:

Take the miles and divide by the time to get miles per hour

120 miles / 2.5 hours

48 miles per hour

Answer:

the bus is going 48 mile per hour

Step-by-step explanation:

Can someone please help me with this??

Answers

Answer: (x,y)=(-2/3,15)

Negative 2 over three

Can someone help me with this please

Answers

Answer:

63.6

Step-by-step explanation:

[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]

I got it right it is 63.6

Find the areas of the trapezoids.

Answers

Answer:

30 square units

Step-by-step explanation:

i did this problem before.

The answer is 12. Since the scaling factor is 2 you have to multiply all the squares by two. And if you find the area using a scaling factor of one you get 6

Given a= -3, b= 4 and c= -5, evaluate ab + C.
-4
-17
07

Answers

Answer:

a= -3, b= 4 and c= -5

ab + c = (-3)4+(-5) = -12 -5 = -17

Answer:

answer is -17

Step-by-step explanation:

all you have to do for this question is to plug the values for a, b, and c in the question.

ab + c  would be

(-3)*4+(-5)

-12+(-5)

= -17

therefore the answer is -17

You spin the spinner below once. What is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Other than 5 there are 3 other numbers that could be chosen so its 3/4 chances

The required probability of getting a number less than 5 is 3/4

The correct option is (B)

What is Probability?

The mathematical possibility of any event is called probability

The probability of impossible event is zero and sure event is one

The probability can be calculated as

Probability = [tex]\frac{favourable}{total}[/tex]

How to find probability?

here we have given total event or sample is

S = {2, 3, 4, 5}

n(S) = 4

The required probability of getting a number less than 5

Favorable event E = {2, 3, 4}

n(E) = 3

Therefore the

P(E) = 3/4

Hence the correct option is (B)

This is the conclusion to the answer.

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What is the equation of the graphed line?

a. y = 4x - 6
b. y = -4x + 6
c. y = 2/3x - 4
d. y = 3/2x - 4

Answers

Answer:

its c

Step-by-step explanation:

-4 is the y- intercept form and 2/3 is the slope

Answer:

C.

Step-by-step explanation:

Y intercept is -4 so a. and b. are out right away

the slope is up two over three so change in Y over change in X

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4

Answers

The answer to your question is 2/1

Can anyone please help me with this?

Answers

Answer:

point - slope form: y+1 =2(x+2)

slop - intercept form:  y =2x +3

standard form : 2x -y = -3 or -2x+y = 3

Step-by-step explanation:

find slope from given points using slope formula y₂ -y₁ / x₂ -x₁

slope m =5-(-1)/1-(-2) =6/3 =2

point - slope form is y - y₁ =m (x - x₁) where x₁ and y₁ are coordinates of one of the given points so

y - (-1) = 2(x -(-2))

y+1 =2(x+2)

slop - intercept form is y =mx +b where m is a slope and b is y intercept

now if you rearrange y+1 =2(x+2) as y =......

y+1 =2(x+2) → y+1=2x+4 → y = 2x+4-1 → y =2x +3

standard form is Ax +By = C where A,B,C are numbers; then by rearranging the equation again, it will be

2x -y = -3

graphing is done by using  slop - intercept form:  y =2x +3

pick 2 points and draw the line; use given points

in the equation y=4x which is greater? explain answer

Answers

Answer:

If x is greater than 0, then y is greater than x

For example:

x = 2 => y = 4(2) = 8, 8 > 2

x = 3 => y = 4(3) = 12, 12 > 3

If x is = 0, then y is equal to x, because x = 0 => y = 4x = 4(0) = 0 => x = y = 0

If x is less than 0, then y is smaller than x

For example:

x = -2 => y = 4(-2) = -8, -8 < -2

x = -3 => y = 4(-3) = -12, -12 < -3

Hope this helps!

Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3

Answers

Answer:

At least 11: x≥11  ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11  ; Between 3 and 11: 3≤x≤11  ; Inclusive no more than 3: x≤3

Step-by-step explanation:

At least 11:                          x≥11  

At least means that the number can't be lower than 11 (11 included)

At most 11:                               x≤11

At least means that the number can't be higher than 11 (11 included)

More than11:                                         x>11

More means that the number must be higher than 11 ( 11 not included)

Fewer than 11:                                    x<11

Fewer than means that the number must be lower than 11 ( 11 not included)

Strictly between 3 and 11 :            3 < x < 11  

"Strictly between" means excluding the endpoints

Between 3 and 11:                             3≤x≤11

Including endpoints.

Inclusive no more than 3:                   x≤3

Inclusive includes number 3 (less or equal)

Feel free to ask for more if needed or if you did not understand something.  

A.-4
B.4
C.1/4
D.-1/4
I need help I’m confuse

Answers

Answer:

The answer is 4/B

Step-by-step explanation:

Mark me brainiiest.

Which graph represents the function f(x) = ()–x

Answers

Answer:

Slope: -1

y-intercept: 0

The graph of the function y = - x is attached at the end of the answer.

What is a linear function? What is a mathematical function, equation and expression?linear function : A linear function is of the form -

        [y] = ax + b

        It has a degree of one and has only one root.

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the function as -

y = f(x) = - x

We have the following function -

y = - x

The function y = -x is a linear function. Refer to the graph of the function attached. The function has a slope of -1 .

Therefore, the graph of the function y = -x is attached with the answer.

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Which expression best estimates 6 and three-fourths divided by 1 and two-thirds? 7 divided by 2 6 divided by 1 8 divided by 3 3 divided by 2

Answers

Answer:

[tex]4\frac{1}{20}[/tex]

Step-by-step explanation:

[tex]6\frac{3}{4} \div 1\frac{2}{3}[/tex]

[tex]\frac{27}{4} \div \frac{5}{3}[/tex]

[tex]\frac{27}{4} \times \frac{3}{5}[/tex]

[tex]\frac{27 \times 3}{4 \times 5}[/tex]

[tex]=\frac{81}{20}[/tex]

[tex]=4\frac{1}{20}[/tex]

Answer:

7 divided by 2

Step-by-step explanation:

The numerical coefficient in "6m" is:

Answers

The numeral coefficient is the number ( the one that we know)- so its 6

Find the lowest common denominator

Answers

Answer:

A #1 ( x+2)2 (x-2)2

Step-by-step explanation:

it is the only one that could possibly work

QUICKLY ITS REALLY APPRECIATED RN IF U WOULD ANSWER!
THE IMAGE IS THE QUESTION PLS ANSWER PROPERLY I Will GIVE U BRAINLIESTTTT!

Answers

Answer:

3,-2/3,infinity

Step-by-step explanation:

Slope is change in y over change in x. Just find the changes in the coordinates y and x values. Pretty simple once you've got the hang of it!

PLEASE HELP ME WITH MY PROBLEM!!!CHECK MY ACC

Answer:

Step-by-step explanation:

1. y = 3x-12   m =3

2. y = -2/3x + 8     m = -2/3

3. m = infinity

Since we know U is the midpoint, we can say TU equals BLANK? Substituting in our values for each we get BLANK? =12x - 1

Answers

Answer:

x = 3

Length of each segment = 3

Step-by-step explanation:

Since point U is the midpoint of the line segment TV, that means both the parts of the segment UV and TU will be equal in measure.

m(TU) = m(VU)

(8x + 11) = (12x - 1)

By further solving this,

8x + 11 + 1 = 12x - 1 + 1

8x + 12 = 12x

8x + 12 - 8x = 12x - 8x

12 = 4x

x = [tex]\frac{12}{4}[/tex]

x = 3

(12x - 1) = 12×3 - 1

           = 35

And the length of each segment will be 35 units.

I Need the answer and how to do the question, anyone can help?

Answers

Answer:

P(A and B) = 0.1344 = 13.44%

Step-by-step explanation:

If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.

It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21

P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%

What is the solution to this equation?
2x + 3 = x − 4

Answers

Answer:

-7

Step-by-step explanation:

2x+3=x-4

Let's start by subtracting 3 from both sides

2x=x-7

Now, subtract x from both sides

x=-7

Let's plug it in to make sure!

2(-7) +3= (-7)-4

-11=-11

Answer:

x= -7

Step-by-step explanation:

You subtract both sides by x meaning the x on the right side will turn to zero and then you subtract both sides by 3

Not a test just that. ? Is throwing me off after 25x what does that mean genuinely confused

Answers

Answer:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Step-by-step explanation:

Its right?

In triangle ABC, a=7, b=3 and cos C = 1/2. The value of c is
1. Sqrt 8
2. Sqrt 37
3. Sqrt 27
4. 4

Answers

Answer:

Correct option: 2 -> sqrt(37)

Step-by-step explanation:

To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.

The equation of the law of cosines is:

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

So, we have that:

c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)

c^2 = 49 + 9 - 21

c^2 = 37

c = sqrt(37)

Correct option: 2

Other Questions
Paul Sabin organized Sabin Electronics 10 years ago to produceand sell several electronic devices on which he had securedpatents. Although the company has been fairly profitable, it is nowexperiencing a severe cash shortage. For this reason, it isrequesting a $620,000 long-term loan from Gulfport State Bank,$160,000 of which will be used to bolster the Cash account and$460,000 of which will be used to modernize equipment. The company's financial statements for the two most recent years follow:Sabin ElectronicsComparative Balance SheetThis Year Last YearAssets Current assets: Cash $ 118,000 $ 270,000Marketable securities 0 30,000Accounts receivable, net 633,000 420,000Inventory 1,065,000 715,000Prepaidexpenses 30,000 34,000Total currentassets 1,846,000 1,469,000Plant and equipment,net 1,969,200 1,490,000Total assets $ 3,815,200 $ 2,959,000Liabilitiesand Stockholders Equity Liabilities: Currentliabilities $ 820,000 $ 420,000Bondspayable, 12% 850,000 850,000Totalliabilities 1,670,000 1,270,000Stockholders'equity: Commonstock, $15 par 630,000 630,000Retained earnings 1,515,200 1,059,000Total stockholders equity 2,145,200 1,689,000Total liabilitiesand equity $ 3,815,200 $ 2,959,000Sabin ElectronicsComparative Income Statement and ReconciliationThis Year Last YearSales $ 5,600,000 $ 4,710,000Cost of goodssold 3,995,000 3,570,000Gross margin 1,605,000 1,140,000Selling andadministrative expenses 677,000 572,000Net operatingincome 928,000 568,000Interestexpense 102,000 102,000Net income beforetaxes 826,000 466,000Income taxes(30%) 247,800 139,800Net income 578,200 326,200Commondividends 122,000 101,000Net incomeretained 456,200 225,200Beginning retainedearnings 1,059,000 833,800Ending retainedearnings $ 1,515,200 $ 1,059,000During the past year, the companyintroduced several new product lines and raised the selling priceson a number of old product lines in order to improve its profitmargin. 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