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d1i1m1o1n [39]
3 years ago
7

Solve for x 1/4 x^3 = -27/4​

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
5 0

do u still need the answer or no cuz its kinda long

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Find area of the isosceles triangle formed by the vertex and the x-intercepts of parabola y=x2+4x−12.
xz_007 [3.2K]

The area of the isosceles triangle is 64 sq units.

<u>Solution:</u>

Part 1: x-intercepts

The x-intercepts occur at the points on the function where y=0

So, we need to solve

x^2-4x-12=0

The left side factors fairly easily into:

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

So solution occur when

x-6=0\rightarrow x=6

and

x+2=0\rightarrow x=(-2)

So the x-intercepts are at (0,6) and (0,−2)

Part 2: vertex of the parabola

The vertex of a simple quadratic parabola occurs when the derivative of the quadratic is equal to 0.

The derivative of the given quadratic is

\frac{dy}{dx}=2x-4

By observation, this is equal to 0 when x=2

When x=2 the original equation becomes

y=(2)^2-4(2)-12

y=-16

Therefore the vertex of this parabola is at (2,−16)

The endpoints of the base of the isosceles triangle are (-6, 0) and (2, 0)

\Rightarrow so its base is 8

The height of the triangle reaches from the midpoint of the base (-2, 0) and the vertex (2, -16)

\Rightarrow so its height is 16

The area is  \frac{1}{2}\times \text { base }\times \text { height }=\frac{1}{2}\times8\times16=64 \text{ sq units }

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3 years ago
5/24 times 8/15 and Equation please Thank you
babymother [125]
I hope this helps you

5 0
3 years ago
Which of the following term describes √36 ? *
Cerrena [4.2K]

Step-by-step explanation:

A. Rational Number

square root 36 = 6/1

It can be write in a ratio.

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Pineview Middle School has 158 fewer students enrolled than Wellington Middle School. If Pineview Middle has 1039 students enrol
vampirchik [111]
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2 years ago
How are your finances connected to your beliefs? Own words
Liula [17]

Answer:

Due to religion you may be obligated to donate 10% or something of that matter.

Step-by-step explanation:

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