1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
6

Y=x2+3x+2 y=x2+5x-4 solutions

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

Answer:

 Slope = 1

 x-intercept = 2/1 = 2.00000

 y-intercept = 2/-1 = -2.00000

Step-by-step explanation:

Pulling out like terms :

2.1     Pull out like factors :

  -2x + 2y + 4  =   -2 • (x - y - 2)

Equation at the end of step  2  :

 -2 • (x - y - 2)  = 0

Step  3  :

Equations which are never true :

3.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

3.2     Solve   x-y-2  = 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  x-y-2  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 2/-1  = -2.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000

 x-intercept = 2/1  =  2.00000

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 -2.000 and for x=2.000, the value of y is 0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.000 - (-2.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 1

Geometric figure: Straight Line

 Slope = 1

 x-intercept = 2/1 = 2.00000

 y-intercept = 2/-1 = -2.00000

Processing ends successfully

plz mark me as brainliest :)

You might be interested in
A rectangle's width is 1/3 its length and its perimeter is 40 m. find the dimensions of the rectangle
Rina8888 [55]

Answer:

Length = 15m

Width = 5m

Step-by-step explanation:

w = 1/3l

p = 2l + 2/3l

40 = 2 2/3 l

l = 15

w = 1/3(15)

w = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
Which transformation(s) can be used to map one triangle onto the other? Select two options.
myrzilka [38]

Answer:

what are the options?

Step-by-step explanation:

7 0
3 years ago
Simplify (3х2 – 2) + (2х2 – бх + 3).
kolbaska11 [484]

Answer:

5x^2 -6x +1

Step-by-step explanation:

(3х^2 – 2) + (2х^2 – бх + 3).

Combine like terms

(3х^2  + 2х^2 – бх + 3-2)

5x^2 -6x +1

4 0
3 years ago
Let u= <4,3>. Find the unit vector in the direction of u, and write your answer in component form.
aksik [14]
Take the vector u = <ux, uy> = <4, 3>.

Find the magnitude of u:

||u|| = sqrt[ (ux)^2 + (uy)^2]

||u|| = sqrt[ 4^2 + 3^2 ]

||u|| = sqrt[ 16 + 9 ]

||u|| = sqrt[ 25 ]

||u|| = 5

To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is

u/||u||

u * (1/||u||)

= <4, 3> * (1/5)

= <4/5, 3/5>

and there it is.

Writing it in component form:

= (4/5) * i + (3/5) * j

I hope this helps. =)
3 0
3 years ago
Ray says that the ordered pair for point G is(1,2).Is Ray correct?
liubo4ka [24]

Answer:

1 unit up from the origin, so the ordered pair is (2, 1). (4, 2); Possible explanation: Point H is 4 units to the right of the origin, so the x -coordinate is

NO hes not correct

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which value is the product of -27/68X-6 in simplified form?
    7·2 answers
  • Find the area of the triangles. Show all your work
    9·2 answers
  • Solve the following system of equations.<br><br> 3x + 2y - 5 = 0<br> x = y + 10
    14·1 answer
  • Use a net to find the surface area of the right triangular prism shown below:
    10·1 answer
  • Write a quotient that gives the same answer as 4.65 divided by 0.12
    5·2 answers
  • If point B is halfway between 0 and 1 on a number line and point A is halfway between 0 and point B , what fraction of 1 does po
    11·1 answer
  • Solve the equation for y. Then find the value of y for each value of x.
    10·1 answer
  • Find the slope of the following coordinate<br> points.<br> (4.25, 0) and (3.5, 3)
    15·1 answer
  • What number between 121 and 149 is exactly divisible by both 3 and 5
    12·2 answers
  • I am giving brainliest pls help asap
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!