Ask question

Ask question

All categories

3 years ago

11

Use the discriminant to determine the number and type of solutions to the quadratic equation. Show all work for full credit.

1 answer:

cricket20 [7]3 years ago

8 0

See picture for solution.

You might be interested in

The polar coordinates of a point are 3π 4 and 7.00 m. What are its Cartesian coordinates (in m)? (x, y) = 6.06,−3.5 m

Keith_Richards [23]

Answer:

a) $\left(x,y\right)=\left(4.95,-4.95\right)$

b) $r\angle\theta = 7\angle0.5236\,\text{radians}$

Step-by-step explanation:

Polar coordinates are represented as: $r\angle\theta$ , where 'r' is the length (or magnitude) of the line, and ' $\theta$ ' is the angle measured from the positive x-axis.

in our case:

$7\angle\dfrac{3\pi}{4}$

to covert the polar to cartesian:

$x = r\cos{\theta}$

$y = r\sin{\theta}$

we can plug in our values:

$x = 7\cos{\dfrac{3\pi}{4}} = -7\dfrac{\sqrt{2}}{2}$

$y = 7\sin{\dfrac{3\pi}{4}} = 7\dfrac{\sqrt{2}}{2}$

the Cartesian coordinates are:

$\left(x,y\right)=\left(-7\dfrac{\sqrt{2}}{2},7\dfrac{\sqrt{2}}{2}\right)$

$\left(x,y\right)=\left(4.95,-4.95\right)$

(b) to convert (x,y) = (6.06,-3.5)

we'll use the pythagoras theorem to find 'r'

$r^2 = x^2+y^2$

$r^2 = (6.06)^2+(-3.5)^2$

$r = \sqrt{48.97} \approx 7$

the angle can be found by:

$\tan{\theta} = \dfrac{y}{x}$

$\tan{\theta} = \dfrac{3.5}{6.06}$

$\theta = \arctan{left(\dfrac{3.5}{6.06}\right)}$

$\theta = 0.5236 \text{radians}$

to convert radians to degrees:

$\theta = 0.5236 \times \dfrac{180}{\pi} \approx 30^\circ$

writing in polar coordinates:

$r\angle\theta = 7\angle30^\circ\,\,\text{OR}\,\,7\angle0.5236\,\text{radians}$

5 0

3 years ago

Describe fully the single transformation that maps triangle a onto triangle b

AVprozaik [17]

Step-by-step explanation:

dilatation with scale factor (k) = 2

7 0

3 years ago

The value of the varriable which satisfies the equation is called the _______ of the equation

scoray [572]

Answer:

solution

Step-by-step explanation:

solution is the answer

3 0

3 years ago

PLEASE HELP! I WILL GIVE BRAINIEST TO THE CORRECT ANSWER!

Readme [11.4K]

(b) because when you change 215% into a decimal it’s 2.15 then multiply that by 50 you get 170.5 and you move the decimal to get 1.705 so it’s b

5 0

3 years ago

If bobby was born in 05 how old would he be

Alex_Xolod [135]

He would be 15 years old depending on his birthday if he has a late birthday he would be 14 years and if he had a early birthday he would be 16 years old

5 0

3 years ago

Read 2 more answers