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ValentinkaMS [17]

2 years ago

14

Describ a real world situation where oppisite quantities equal zero

1 answer:

Neporo4naja [7]2 years ago

6 0

I THINK this may be the answer not 100% sure tho!

1. Two forces equal and acting in opposite direction result in zero force.

2.Sum of two moment of forces acting in opposite sense produce zero resultant.

Any two equal and opposite vectors produce zero net effect

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Explain how to find the vertex of 2x^2+12x+16

Elina [12.6K]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

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

$2x^2+12x+16=2(x^2+6x)+16=2(x^2+2(x)(3))+16\\\\=2(\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2)+16=2((x+3)^2-9)+16\\\\=2(x+3)^2+(2)(-9)+16=2(x+3)^2-18+16\\\\=\boxed{2(x-(-3))^2-2}\to h=-3,\ k=-2$

<h3>Answer: (-3, -2).</h3>

Other method:

$f(x)=ax^2+bx+c\\\\vertex:(h,\ k)\\\\h=\dfrac{-b}{2a},\ k=f(h)$

We have

$f(x)=2x^2+12x+16\\\\a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3\\\\k=f(-3)=2(-3)^2+12(-3)+16=2(9)-36+16=18-36+16=-2$

<h3>Answer: (-3, -2).</h3>

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3 years ago

Is 5/12 greater than or less than 3/6?

Advocard [28]

5/12 is less than 3/6.

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2 years ago

Does favorite food depend on your gender? A survey asks a group of college students about their favorite foods. It also groups t

Oxana [17]

Answer:

Yes, it does

Step-by-step explanation:

More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.

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2 years ago

In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

12.8 feet

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2 years ago

Find the degree measure of each angle.<br> (In picture)

sesenic [268]

Here you go:
ebf = 90-39 = 51
eba = 90
dbe = 90-73 = 17
abf = 90 +51 = 141
abc = 180

7 0

2 years ago