3 years ago

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Mathematics

1 answer:

jonny [76]3 years ago

6 0

Answer:

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Step-by-step explanation:

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What is the completely factored form of d4 -8d2 + 16

irinina [24]

According to Vieta's Formulas, if $x_1,x_2$ are solutions of a given quadratic equation:

$ax^2+bx+c=0$

Then:

$a(x-x_1)(x-x_2)$ is the completely factored form of $ax^2+bx+c$ .

If choose $x=d^2$ , then:

$\displaystyle x^2-8x+16=0\\\\x_{1,2}= \frac{8\pm \sqrt{64-64} }{2}=4$

So, according to Vieta's formula, we can get:

$x^2-8x+16=(x-4)(x-4)= (x-4)^2$

But $x=d^2$ :

$d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2$

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3 years ago

Dean uses 1/3 of a cup of vinegar in his salad dressing recipe. How much vinegar would Dean use to make 2 recipes?

natita [175]

Answer:

2/3

Step-by-step explanation:

1/3 multiplied by 2 equals 2/3

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3 years ago

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A small tree was planted at a height of 10 feet. The tree has been planted for 14 months, and is now 49.2 feet tall. Which equat

Crank

The equation is x=(49.2-10)/14

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3 years ago

Write these decimals as words 25. 134 100.01 HALP

k0ka [10]

Answer:

twenty-five and one hundred thirty-four thousands

onn hundred and one hundredths

Step-by-step explanation:

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3 years ago

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Australia is 2.97 x 106 square

Arlecino [84]

Answer:1.7

Step-by-step explanation:

First you want to multiply 2.97 by 106

2.97 x 106 = 314.82

Now you want to multiply 1.72 by 107

1.72 x 107 = 184.04

Now you want to divide them

314.82 / 184.04 = 1.71

Now you want to round it to the nearest tenth... if a number is 5 or above you round it up but if it is 4 or below your number stays the same

Since 1 is lower than 5 you keep your number the same

1.7

8 0

3 years ago