First you grapgh 0,-3 then you follow the slope of going 4 up 5 to the right and contine up also on e-where it is 0,-3 you go down 4 and 5 to the left and contine that to make a straught line.

6 0

2 years ago

Which angle corresponds to < 8?

Yuri [45]

Answer:

Step-by-step explanation:

7 0

3 years ago

Match each operation involving f(x) and g(x) to its answer

eimsori [14]

Answer:

(g-f) (-1)= sqrt(15)

(f/g)(-1)= 0

(g+f)(2)=sqrt(3)-3

(g*f)(2)=-3*sqrt(3)

Step-by-step explanation:

We have to eval the expressions given in the point indicated.

Lets start by the first equation

(g-f)(-1)= g(-1) - f(-1)= $\sqrt{11-4*(-1)} - 1 +(-1)^{2}$ = $\sqrt{15}$

Now, lest continue with the others

(f/g)(-1)= f(-1)/g(-1)= (1-1)/sqrt(15)=0

(g+f)(2)=g(2)+f(2)=sqrt(3)-3

(g*f)(2)=g(2)*f(2)=sqrt(3)*(-3)=-3sqrt(3)

3 0

3 years ago

Read 2 more answers

Find the coordinates of the point (a, b).

Leviafan [203]

Answer:

a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

Sin(45) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 = $\frac{\sqrt{2} }{2}$

Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a = Cos(45)*1 = $\frac{1}{\sqrt{2} }$

So: a = $\frac{1}{\sqrt{2} }$ and b = $\frac{\sqrt{2} }{2}$

5 0

3 years ago