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3 years ago

Complete the sentence. A ___ is an amount of decrease in price.

Mathematics

2 answers:

Lelu [443]3 years ago

4 0

Answer:

Discount ?

Step-by-step explanation:

tia_tia [17]3 years ago

3 0

A discount is an amount of decrease in price.

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I think this is right, but can someone please make sure? Thank you!

Nezavi [6.7K]

Using distance formula, I got C.

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3 years ago

If the measure of angle 4 is 11x and angle 3 is 4x , what is the measure of angle 3 in degrees?

fgiga [73]

<span>Answer:
Let x = degree measure of the angle
So, the complement of the angle has degree measure 90-x
4/11 = x/(90-x)
4(90-x) = 11x
360 - 4x = 11x
15x = 360
x = 24°
Supplement = 180 - x = 156° x/(180-x) = 24/156 = 2/13</span>

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3 years ago

Three ratios that are equivalent to 7:6

NemiM [27]

Answer:

14:12

28:24

35:30

Step-by-step explanation:

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3 years ago

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Tatiana [17]

36.9
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3 years ago

X^2 + 4x - 9 = (x + a)^2 + b<br><br> Find the value of a and the value of b

REY [17]

Answer:

Step-by-step explanation:

We have three ways.

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

$\bold{1.}\\\\x^2+4x-9=x^2+2(x)(2)-9=\underbrace{x^2+2(x)(2)+2^2}_{(*)}-2^2-9\\\\=(x+2)^2-4-9=(x+2)^2-13\\\\x^2+4x-9=(x+a)^2+b\\\Downarrow\\(x+2)^2-13=(x+a)^2+b\Rightarrow \boxed{\bold{a=2, b=-13}}$

$\bold{2.}\\\\\underbrace{(x+a)^2}_{(*)}+b=x^2+2ax+a^2+b\\\\x^2+4x-9=x^2+2ax+(a^2+b)\Rightarrow 4=2a\ \text{and}\ -9=a^2+b\\\\4=2a\qquad\text{divide both sides by 2}\\\\\dfrac{4}{2}=\dfrac{2a}{2}\\\\2=a\to \boxed{\bold{a=2}}\\\\\text{Substitute to the second equation:}\\\\-9=2^2+b\\\\-9=4+b\qquad\text{subtract 4 from both sides}\\\\-9-4=4-4+b\\\\-13=b\to \boxed{\bold{b=-13}}$

$\bold{3.}\\\\(x+a)^2+b-\text{it's a vertex form of an equation of a parabola}\\\\\text{Let}\ y=a(x-h)^2+k\ -\ \text{the euation of a parabola}\ y=ax^2+bx+c.\\\\\text{Then}\ h=\dfrac{-b}{2a},\ k=\dfrac{-(b^2-4ac)}{4a}\\\\x^2+4x-9\to a=1,\ b=4,\ c=-9\\\\h=\dfrac{-4}{2(1)}=\dfrac{-4}{2}=-2\\\\k=\dfrac{-(4^2-4(1)(-9))}{4(1)}=\dfrac{-(16+36)}{4}=\dfrac{-42}{4}=-13\\\\\text{Therefore}\\\\x^2+4x-9=(x+a)^2+b\\\\(x-(-2))^2+(-13)=(x+a)^2+b\\\\(x+2)^2-13=(x+a)^2+b\to\boxed{\bold{a=2,\ b=-13}}$

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3 years ago