Here is the graph for one of the equations in a system of two equations

The second line in the system goes through the point (4, 1). Write the equation for the second line if the solution to the system is (3,0). Explain the steps and reasoning you used to find your equation

Answer:

r = 5

Step-by-step explanation:

12 - 1/5r = 2r + 1

12 - 0.2r = 2r + 1

12 - 0.2r + 0.2r = 2r + 0.2r + 1

12 = 2.2r + 1

12 - 1 = 2.2r + 1 - 1

2.2r = 11

2.2r ÷ 2.2 = 11 ÷ 2.2

r = 5

Answer:

r = 5

Step-by-step explanation:

12- 1/5r = 2r + 1

12 = 11/5r + 1

5(11) = (11/5r)5

55 = 11r

r = 5

Answer:

1100000000

Step-by-step explanation:

Answer:

a= 45

Step-by-step explanation:

all angles equal 180 degrees so you take the angle given which is 45 and the other which is a right angle, or 90 degrees and subtract 45 from 90 and you get 45 so a = 45 and you add up 45 + 45 + 90 thats 180!  

Answer:

The last one

Step-by-step explanation:

[tex]x^3+1=0[/tex]

Subtract 1 from both sides

[tex]x^3+1-1=0-1[/tex]

simplify

[tex]x^3=-1[/tex]

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]

simplify

[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]

(That's basically the last one but in a different way of writing it)

Answer:

The last one

Step-by-step explanation:

Subtract 1 from both sides

simplify

simplify

Answer:

32

Step-by-step explanation:

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

Answer:

1237t - 289

Step-by-step explanation:

Answer:

hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.

Answer:

B

Step-by-step explanation:

It is linear and increasing.

If it is linear, it is increasing at a constant rate with a straight line.

Exponential means it is a curved line and would have an equation like f(x)=5^x

If it was decreasing, it would have a negative slope, such as -2x +10

Answer:

???

Step-by-step explanation:

Where's the image?

Answer:

x =180-(90+46)

=180-136

=44

Answer:

44°

Step-by-step explanation:

180-90-46=44

Answer:

62

Step-by-step explanation:

The sum of the angles in a triangle add to 180

L + M + N= 180

38+ 80 + N = 180

118+ N = 180

N = 180-118

N = 62

Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

Answer:

ans is nothing

plz its is a jock

Answer:

2√2 I think

Step-by-step explanation:

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

Answer:

47yd

Step-by-step explanation:

4 + 15 + 15 + 13 = 47yd

Answer:

47 yd

Step-by-step explanation:

The perimeter is the distance around a polygon. It can be found by adding up all the lengths of the sides.

4 + 15 + 15 + 13

= 47

Fill the 3L jug, then pour its contents into the 5L jug.

Fill the 3L jug again, then pour as much of it (2L) as you can into the 5L jug.

Now the 5L jug is full, and the 3L jug is carrying 1L of water.

Empty the 5L jug.

Pour the 1L of water from the 3L jug to the 5L jug.

Finally, fill up the 3L jug, then transfer its water into the 5L jug. It now has 4L of water.

Answer:

15 oz

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Each quartile is 25%; the answer asks for 70% and below, which is the first through third quartile.

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

Answer:

The 3rd choice.

Step-by-step explanation:

The third choice has what it takes to be a scientific notation.

Answer:

r = 0.2

Step-by-step explanation:

Given

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Use any of the ordered pairs from the table and substitute

Using (8, 1. 6 ) , then

r = [tex]\frac{1.6}{8}[/tex] = 0.2

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

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

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

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

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

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

[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]