3 years ago

What is a coefficient ?

1 answer:

8 0

A coefficient is a number that is attached to a term.

For example:

3x² - 5x + 6 = 0

The coefficient of x² is 3.

The coefficient of x = -5.

Hope this explains it.

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The equation of the line passes through the points (-2,0) and (-2,3) is

Iteru [2.4K]

Answer:

See my explanation.

Step-by-step explanation:

y=-2

5 0

3 years ago

What decimal is less than 1/5 <br> 0.25<br> 0.50<br> 0.21<br> 0.15

Marta_Voda [28]

0.15 is less than 1/5

4 0

3 years ago

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What is the constant proportionality for y=2/3x

Lerok [7]

The constant proportionality is 2/3 because it will still be going on
for example- 2/3+2/3= 2/3*2

The number 2/3 goes

3 0

3 years ago

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Vertex of x^2 + 6x + 17

jekas [21]

We have: $f(x)=x^2+6x+17$

Method 1.

Use: $(*)\ \ \ \ \ (a+b)^2=a^2+2ab+b^2$

and the vertex form $f(x)=a(x-h)^2+k$

(h, k) - the coordinates of a vertex

$x^2+6x+17=x^2+2\cdot x\cdot3+17=\underbrace{x^2+2\cdot x\cdot3+3^2}_{(*)}-3^2+17\\\\=(x+3)^2+8\to h=-3;\ k=8$

Answer: (-3, 8)

Method 2.

For $f(x)=ax^2+bx+c$ the coordinates of a vertex (h, k) are equal

$h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(b^2-4ac)}{4a}$

We have: $f(x)=x^2+6x+17\to a=1;\ b=6;\ c=17$

Substitute:

$h=\dfrac{-6}{2\cdot1}=\dfrac{-6}{2}=-3\\\\k=f(-3)=(-3)^2+6(-3)+17=9-18+17=8$

Answer: (-3, 8)

5 0

3 years ago

Which is the equation of an ellipse centered at the origin with foci on y-axis, major axis of length 20 and minor axis of length

fenix001 [56]

Centered at the origin means (h,k) =(0,0)

Length of major axis, 2a = 20

That gives, a =10

Length of minor axis, 2b =18

That gives, b=9

And since focii is on the y axis, so its a vertical ellipse of the form

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} =1$

Substituting the values of a and b, we will get

$\frac{x^2}{81}+\frac{y^2}{100}=1$

7 0

3 years ago

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