What is the slope of the line with the given equation: 2x + y = 5​

Answer:

Not a constant slope

Step-by-step explanation:

the Answer is

2 orange

Answer:

Step-by-step explanation:

14(13)12=2184

Given:

The graphs of two parabolas.

To find:

The equation of the quadratic function with given graphs.

Solution:

(a)

The factor form of a parabola is

[tex]y=a(x-b)(x-c)[/tex]

Where, a is a constant, b and c are x-intercepts.

From the graph (a) it is clear that the graph intersect the x-axis at -1 and 3. So, b=-1 and c=3.

[tex]y=a(x-(-1))(x-3)[/tex]

[tex]y=a(x+1)(x-3)[/tex]            ...(i)

Put x=0 and y=3 because the y-intercept is (0,3).

[tex]3=a(0+1)(0-3)[/tex]

[tex]3=-3a[/tex]

[tex]\dfrac{3}{-3}=a[/tex]

[tex]-1=a[/tex]

Putting a=-1 in (i), we get

[tex]y=-1(x+1)(x-3)[/tex]

[tex]y=-(x+1)(x-3)[/tex]

Therefore, the equation of the parabola is [tex]y=-(x+1)(x-3)[/tex].

(b)

The vertex form of a parabola is

[tex]y=a(x-h)^2+k[/tex]

Where, a is a constant and (h,k) is vertex.

From the the graph (b), it is clear that the vertex of the of the parabola is at point (2,0) and y-axis is (0,8). So, h=2, k=0.

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]            ...(ii)

Put x=0 and y=8 because the y-intercept is (0,8).

[tex]8=a(0-2)^2[/tex]

[tex]8=4a[/tex]

[tex]\dfrac{8}{4}=a[/tex]

[tex]2=a[/tex]

Putting a=2 in (ii), we get

[tex]y=2(x-2)^2[/tex]

Therefore, the equation of the parabola is [tex]y=2(x-2)^2[/tex].

Answer:

£383.07

Step-by-step explanation:

339 X 0.13=44.07

44.07+339=£383.07

Answer:

x=2

Step-by-step explanation:

3x+3+10x-25-2x+4=4

11x-18=4

11x=4+18

11x=22

x=22/11

x=2

Answer:

x = 2

Step-by-step explanation:

3(x + 1) + 5(2x –5)–2(x –2)= 4

First, let's distribute the numbers across the parentheses through multiplication.

3x + 3 + 10x - 25 - 2x + 4 = 4

Combine like terms.

11x - 18 = 4

Add 18 to both sides to isolate x.

11x = 22

Divide both sides by 11 to isolate x further.

x = 2

Check by plugging 2 back into the equation.

3(2 + 1) + 5(2(2) - 5) - 2(2 - 2) = 4

3(3) + 5(4 - 5) - 2(0) = 4

9 + 5(-1) - 0 = 4

9 - 5 = 4

4 = 4

Your answer is correct.

Hope this helps!

Answer:

a=12 b= 19200

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/4)^2=16

Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.

A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.

We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.

∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.

learn more about alternate angles here :

https://brainly.com/question/28380652

#SPJ2

Answer:

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Area of a rectangle: Area = Length x Width

Have to look at it in two different rectangles and add up the areas.

• 8 x 4 = 32

• 2 x 4 = 8

• 32 + 8 = 40

• Area of the figure is 40!

Answer:

add 3

Step-by-step explanation:

3+3=6 4+3=7 5+3=8

and on the graph when u graph them your answer is A.

Hope this helps:)