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3 years ago

When you identify the author of a text, which of the following are you are specifically examining in the source?

Mathematics

2 answers:

ioda3 years ago

3 0

I would say origin, but it's a hard choice.

Anna [14]3 years ago

3 0

I'm pretty sure it's origin, because the rest don't make sense to me.

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Which side of ΔDEF is the longest?

astraxan [27]

The answer is B line DF

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3 years ago

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Write the equation of the function whose graph is shown. y = (x + )2 +

Deffense [45]

Quadratic form is given in the form
$y= ax^{2}+bx+c$ , where a, b, and c are constants

We substitute the value (8, 12) and (5,3) in turn

$12= a(8)^{2}+b(8)+c$
$12=64a+8b+c$ ... Equation 1

$3=a(5)^{2}+b(5)+c$
$3=25a+5b+c$ ... Equation 2

Equation 1 - Equation 2 gives
$39a+3b=9$ , we call this Equation 3

We also know that (5, 3) is the turning point of the curve, where the value of $x$ is given by $x=- \frac{b}{2a}$
Substitute $x=5$
$5=- \frac{b}{2a}$
$10a=-b$
$b=-10a$ ... Equation 4

Substitute Equation 4 into Equation 3
$39a+3b=9$
$39a+3(-10a)=9$
$39a-30a=9$
$9a=9$
$a=1$

Now we need to work out the value of $b$ and $c$

Substitute $a=1$ back into equation 4
$-10a=b$
$-10(1)=b$
$b=-10$

Substitute $a=1$ and $b=-10$ into either equation 1 or equation 2

$64a+8b+c=12$
$64(1)+8(-10)+c=12$
$64-80+c=12$
$c=12+80-64$
$c=28$

Hence the equation of the quadratic curve is
$y= x^{2} 10x+28$

8 0

3 years ago

Read 2 more answers

What is -29.9 - 4.6?<br> O A. -6,5<br> B. 65<br> C. 0.65<br> D. -65

natulia [17]

-6.5 which in your answer choices is a

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2 years ago

Giselle's youth club sells cookies to fund their trips and activities. Each year they need to earn $1,247 from selling cookies.

algol [13]

Price per box, P = $1.45 .

Money left, M = $1247 - $472.70 = $774.3 .