Which is the graph of a quadratic equation that has a positive discriminate?

2 answers:

5 0

A graph with positive discriminant has 2 real roots, so it crosses the x axis twice

pick the graph that crosses x axis 2 times (not one that has vertex on the x axis)

Alina [70]3 years ago

5 0

Answer: graph four

Step-by-step explanation:

If your question has graphs then pick the fourth graph because it crosses the x axis twice which means it has a positive discriminant.

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What constant do you need to add to each quadratic to complete the square?

babunello [35]

Answer:

1. 4

2. 16

3. 9

Step-by-step explanation:

Completing the square requires a quadratic in $ax^2+bx=c$ form. Once in this form, calculate $(\frac{b}{2})^2$ .

1. $(\frac{b}{2})^2=(\frac{-4}{2})^2=4$

2. $(\frac{b}{2})^2=(\frac{-8}{2})^2=16$

3. Requires you divide everything by 3 first.

$\frac{3x^2+18x}{3} =\frac{249}{3} \\x^2+6x=81$

$(\frac{b}{2})^2=(\frac{6}{2})^2=9$

6 0

3 years ago

CAN YOU HELP ME PLEASEEEE ITS GEOMETRY!!! THANK YOUUU

valentinak56 [21]

Answer:

CE= 32

QS= 14

Step-by-step explanation:

Since the C=R and the E=Q, and the RQ is 16, the CE is 2x that value. (Since the CDE is 2x bigger than RSQ)

You also want to flip the triangles until they are in the same positions as each other so you can analyze it easier

6 0

2 years ago

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$