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Slav-nsk [51]
4 years ago
5

Graph the line with the equation y = 2x – 3.

Mathematics
1 answer:
ch4aika [34]4 years ago
7 0

Answer:

The slope is 2

Points are (0,-3), (3/2,0)(5,7)(-1,-5)

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If f(x) = 3x²-4 and g(x) = x+2, find (f - g)(x).
Sergeeva-Olga [200]

Answer:B

Step-by-step explanation:

5 0
2 years ago
Which is the length of the hypotenuse of the right triangle? Round your answer to the nearest tenth of a centimeter. Hint: Pytha
jonny [76]

Answer:

c =\sqrt{a^{2}+b^{2} }

Step-by-step explanation:

You clear c, wich is the hypotenuse

c =\sqrt{a^{2}+b^{2} }

8 0
4 years ago
1. The beginning steps for determining the center and radius of a circle using the completing the square method are shown below:
svet-max [94.6K]

(1) Answer : (x^2 - 6x + 9) + (y^2- 4y + 4) = 3 + (9 + 4)

Step 1: x^2 - 6x + y^2 - 4y = 3

Step 2: (x^2- 6x) + (y^2 - 4y) = 3

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

The coefficient of x is -6. \frac{-6}{2} = (-3)^2 = 9

The coefficient of y is -4. \frac{-4}{2} = (-2)^2 = 4

Step : (x^2- 6x + 9) + (y^2 - 4y + 4) = 3 +9 + 4

(2) x^2 +  y^2 +  6x - 6y + 2 = 0

To find center and radius we write the equation in the form of

(x-h)^2 + (y-k)^2 = r^2 using completing the square form

Where (h,k) is the center and 'r' is the radius

x^2 +  y^2 +  6x - 6y + 2 = 0

(x^2 +  6x) +  (y^2  - 6y) + 2 = 0

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

(x^2 +  6x + 9) +  (y^2  - 6y + 9)  = -2 + 9 + 9

(x + 3)^2 +  (x - 3)^2 = 16

Here h= -3 and k=3 and r^2 = 16 so r= 4

Center is (-3,3) and radius = 4

(c) Step 1: x^2 + 8x + y^2 -  6y = 11

Step 2: (x^2 + 8x) + (y^2 -  6y) = 11

Step 3: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 11 + (16 + 9)

Step 4: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 36

We factor out each quadratic

(x^2 + 8x + 16) = (x+4)(x+4) = (x+4)^2

((y^2 - 6y + 9)) = (x-3)(x-3) = (x-3)^2

Step 5 :(x + 4)^2 + (y - 3)^2 = 6^2

5 0
3 years ago
Proportions, assist me please! ​
Anit [1.1K]

Step-by-step explanation:

w =  \frac{1}{2}  {x}^{2} y \\ (2)w =  \frac{1}{2}  {x}^{2} y(2) \\ 2w =  {x}^{2} y \\  \frac{2w}{ {x}^{2} }  =   \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y

<h3>Answer:</h3>

y =  \frac{2x}{ {x}^{2} }  \\

6 0
3 years ago
Stephanie casts a shadow of 1.2 m and she is 1.8 m tall. A wind turbine casts a shadow of 10m at the same time that Stephanie me
QveST [7]

Answer:

  • see below for a diagram
  • 15 m

Step-by-step explanation:

Stephanie is 1.8/1.2 = 1.5 times as tall as her shadow is long. We expect the same is true of the wind turbine.

The wind turbine's shadow is 10 m long, so its height is 1.5·(10 m) = 15 m.

The wind turbine is 15 m tall.

4 0
3 years ago
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