Adjust the equation so the line passes through the points. Y=x+1

Adjust The Equation So The Line Passes Through The Points. Y=x+1

Answers

Answer 1

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

Answer 2

The equation of the line that passes through the given points will be y=1.5x-4.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the line passes through (0,4) and (2,7)

The slope of the line is,

m = (7-4)/(2-0)

m=3/2

m=1.5

The equation of the line passes through the points (0,4) and (2,7) and has a slope of 1.5 will be,

y-4=1.5(x-0)

y-4=1.5x

y=1.5x-4

Thus, the equation of the line that passes through the given points will be y=1.5x-4.

Learn more about the straight line here:

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Related Questions

the inequality and express your answer in interval notation.
x^2-12x+5<0

need this asap

Answers

Answer:x^2-12x+5<0= 6

hope it helps :)

-2x + 4x = -4 + 0
What is the answer?

Answers

Answer:

x = -2

Step-by-step explanation:

-2x + 4x = -4 + 0

2x = -4

2x/2 = -4/2

x = -2

Hope this helps.

Answer:

The answer is -2

Step-by-step explanation:

You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2

Expresa en lenguaje algebraico la expresión: Dimensiones de un rectángulo en el que su largo tiene 6 metros más que el ancho.

Answers

Answer:

Expresa la expresión en lenguaje algebraico: Dimensiones de un rectángulo en el que su longitud es 6 metros más que su ancho.

Sea la longitud representada por ly el ancho por w

entonces ; l = 6 metros + w

Step-by-step explanation:

WILL MARK BRAINLIEST
NEED HELP ASAP
Solve for x: 3/ 4 x+ 1 /4 =2x

Answers

Answer:

X=1/5

Step-by-step explanation:

Please see the attachment.

Answer:

Maybe? kinda confused

Step-by-step explanation:

3/4x+1/4=2x

-3/4       -3/4

  x+1/4=1 1/4

      -1/4  -1/4

           x=1

   

HELP PLEASE!!!!!! ONLY HAVE 40 MINUTES

Answers

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

Use the figure to answer the question.
9 cm
10 cm
18 cm
9 cm
4 cm
10 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters

Answers

Answer:

1,530 cm³

Step-by-step explanation:

The figure consists of two rectangular prism or cuboid.

The dimension of cuboid 1:

[tex] l = 10cm, w = 9cm, h = 9cm [/tex]

[tex] Volume_1 = l*w*h = 10*9*9 = 810 cm^3 [/tex]

The dimension of cuboid 2:

[tex] l = 18cm, w = 10cm, h = 4cm [/tex]

[tex] Volume_2 = l*w*h = 18*10*4 = 720 cm^3 [/tex]

Volume of the figure = 810 + 720 = 1,530 cm³

Answer: 1,530

Step-by-step explanation:

Please help me qwq In a reflection, what are corresponding angles?!

Answers

Answer: When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

if the sum of a term of an ap is 2n square + 5n then find the 4th term​

Answers

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

the fourth term is 19 !!!!!!!

The quotient of 64 and x

Answers

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

make x the subject of 5(x-3) = y(4-3x)

Answers

Answer:-

5(x-3)=y(4-3x)

5x-15=4y-3xy

5x+3xy=4y+15

x(5+3y)=4y+15

x=>(4y+15)/(5+3y)

:)

Answer:

Step-by-step explanation:

5(x - 3) = y(4 - 3x)

Use distributive property

5*x - 5*3 = y*4 - y*3x

5x - 15   = 4y - 3xy

5x  = 4y -3xy + 15

5x + 3xy = 4y +15

x(5 + 3y) = 4y +15

x = [tex]\frac{4y+15}{5+3y}[/tex]

How much more juice than water is needed to make the rainbow pop? (i need help with this, there are only ten minutes letf!)

Answers

Answer:

6/8 - 4/8= 2/8=1/4 cup

Hope it helps!

Solve for x: -2x + 5 < 7​

Answers

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

Solve for x: [tex]-2x+5<7[/tex]

To solve this inequality, we must minus 5 from both of the sides.

[tex]-2x+5-5<7-5[/tex]

This equals

[tex]-2x<2[/tex]

Now we'll make this into a fraction and divide both sides by -2.

[tex]\frac{-2x}{-2} <\frac{2}{-2}[/tex]

After we divided, we got our answer.

[tex]x>-1[/tex]

Hope this helps!

Can someone answer this circle equation question? PLEASE SHOW STEPS

Answers

Answer:

A

Step-by-step explanation:

oh steps are here!

Answer:

a) 5

Step-by-step explanation:

2x² - 6x + 2y² + 2y = 45

Complete the square and get it in the form (x-a)² + (y -b)² = r²

2x² - 6x +  2y² + 2y  = 45

Divide the equation by 2

x² - 3x + y² + y = 45/2

x² -  3x + ? + y² + y + ?? = 45/2

? -----> (x coefficient by 2)² = (3/2)² = 9/4

?? ----> (y coefficient by 2)² = (1/2)² = 1/4

Add (9/4) & (1/4) to both sides,

x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)

(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)

[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]

Radius  = 5

En un triangulo ABC, el angulo B mide 64° y el angulo C mide 72°. La bisectriz interior CD corta a la altura BH y a la bisectriz BM en P y Q respectivamente. Hallar la diferencia entre el mayor y menor angulo del triangulo PBQ.

Answers

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Simplify 24y^7z^3/6yz^6

Answers

Answer: 24x^6e^4/7ry^3

Step-by-step explanation:

Identify the missing factors:

d) 20 = (4) (?)
e) -14x = (7)(?)
f) x3 =x2 (?)

Answers

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

Maylin is mailing a package that has the
size shown below. What is the volume
of the package? Write the expression
you used to find the volume.
7 in.
Area of base:
54 in.2

Answers

Answer:

V=378 inch³

Step-by-step explanation:

The package is in the shape of a cuboid. The volume of a cuboid is given by :

V = lbh

l=length, b=breadth and h=height

Area of base = 54 inch²

Height of box, h = 7 in

It means that, volume of the package is :

V = 54 × 7

V=378 inch³

So, the volume of the package is 378 inch³.

What is the value of w?

2/5 (w+5) = 4/5

Answers

Answer:

W = -3

Step-by-step explanation:

Answer:

w = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]

Multiply both sides by 5 to clear the fractions

2(w + 5) = 4 ( divide both sides by 2 )

w + 5 = 2 ( subtract 5 from both sides )

w = - 3

Let f(x) = x2 − 8x + 5. Find f(−1).

Answers

Answer:

14

Step-by-step explanation:

[tex]f(x)=x^2-8x+5\\f(-1)=(-1)^2-8(-1)+5\\f(-1)=1+8+5\\f(-1)=14\\[/tex]

How would I create a graph for this equation? The equation is c=4.95+3.99b

Answers

Answer:

  plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

  C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

Find The Area of triangle ABC


a. 27 square units
b. 18 square units
c. 54 square units
d. 36 square units ​

Answers

Answer:

b.  area = 18 square units

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 1/2 (6+3) + (6-2)

area = 1/2 * 9 * 4

area = 18 square units

therefore the answer is b.

in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour

Answers

Answer:

  D.  miles/hour

Step-by-step explanation:

The units analysis tells you the units are ...

  [tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]

Units of meters and seconds cancel, leaving miles/hour.

25 POINTS -4(x+2) Plz help asap

Answers

Answer:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

[tex] - 4(x + 2) = - 4x - 8[/tex]

Hope this helps ;)

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

a college admissions office collects data from each incoming freshman on several quantitative variables distance from their home to campus, number of siblings, how many books they have read in the past month and how long it took them to complete an online survey. classify each variable as discrete or continuous

Answers

Answer:

1) Distance from their home to campus → Continuous

2) The number of siblings → Discrete

3) How many books they have read in the past month → Discrete

4) How long it took them to complete an online survey → Continuous

Step-by-step explanation:

A discrete variable is a variable with a constant value which is found to be accurate by counting of articles in the subject.

Examples of discrete variables are the amount of money in a person's pocket, the number of people in a bus

A continuous variable is one that is a variable that if it is possible for the variable  to have values between two values, then the variable can have any of the values in between the two values

Example of a continuous variable are

The Height of people within a building

The distance traveled to a location.

Therefore, we have the following classification of the data is given as follows;

1) from their home to campus is a Continuous variable

2) The number of siblings is a  Discrete variable

3) How many books they have read in the past month is a Discrete variable

4) How long it took them to complete an online survey is a Continuous variable.

Point U is on line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6,
determine the numerical length of TV.

Answers

Answer:

TV = 12

Step-by-step explanation:

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

3x + 6

= 3(2) + 6

= 6 + 6

= 12

The numerical value of TV will be 12.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that Point U is a line segment TV. Given UV = 2, TU = 5x, and TV = 3x + 6.

The numerical value of TV will be calculated as below:-

TV = TU + UV

3x + 6 = 5x + 2

Shift the unknowns to the left, and constants to the right.

3x - 5x = 2 - 6

-2x = -4

Divide both sides by -2.

x = 2

Substitute x = 2 into the equation for TV (3x + 6),

TV = 3x + 6

TV = 3(2) + 6

TV = 6 + 6

TV = 12

Therefore, the numerical value of TV will be 12.

To know more about line segments follow

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Sharonda is plotting quadrilateral PQRS on the graph below. She will plot the fourth and
final vertex, S, at (9,5). What will be the length of side PS?

Answers

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)

[tex] S(9, 5) = (x_2, y_2) [/tex] (given)

[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]

[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]

[tex] PS = \sqrt{121} = 11 units [/tex]

let f(x)=x-3and h(x)=x2+6.what is (h⁰g)(1)​

Answers

Answer:

The answer is 10 .

Step-by-step explanation:

f(x) = x-3

h(x) = [tex]x^{2} +6[/tex]

Now ,

  hog(1)

=h (1-3)

=h (-2)

= [tex](-2)^{2}[/tex] +6

= 4+6

= 10

what is X in the equation. -38+6x = -12x+52

Answers

Answer:

x=5

Step-by-step explanation:

add 38 to to the pther side

combine 38+52=90

add 12 to the other side

12+6=18

divide 90 by 18= 5

*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. This is a tree diagram that represents the probability of customers choosing the different ice cream options.

What is the value of Z?
a.)0.2
b.)0.45
c.)0.4
d.)0.35

Answers

I think it’s 0.2 I am not sure if it’s right

Answer:

What was it?

Step-by-step explanation:

What is the area of the triangle pls help

Answers

Answer:

Area of a triangle =1/2bh.

1/2×8×10=40cm^2.

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