Factor completely 625x4 − 81.

If using the method of completing the square to solve the quadratic equation x^2-5x-18=0x 2 −5x−18=0, which number would have to

MAVERICK [17]

Answer:

25/4 will have to be added to "complete the square"

Step-by-step explanation:

x² - 5x - 18 = 0

x² - 5x = 18

Find the half of the coefficient of x and square it

(5/2)² = 25/4

Add 25/4 to both sides to complete the square

x² - 5x + 25/4 = 18 + 25/4

x² - 5x + 25/4 = 18(4/4) + 25/4

x² - 5x + 25/4 = 72/4 + 25/4

x² - 5x + 25/4 = (72+25)/4

x² - 5x + 25/4 = 97/4

(x - 5/2)² = 97/4

Find the square root of both sides

√(x - 5/2)² = ±√97/4

x - 5/2 = √97/2

x = √97/2 + 5/2 or x = -√97/2 + 5/2

x = 7.42443 or -2.42443

8 0

3 years ago

A classroom had 35 glue sticks.If the ratio of glue sticks to glue bottles was 5:2 how many glue bottles did the classroom have

lyudmila [28]

Answer:

14

Step-by-step explanation:

35÷5=7

2×7=14

hope this helps

4 0

3 years ago

Read 2 more answers

This is 1 day late- help. ASAP

White raven [17]

Answer:

the third option

Step-by-step explanation:

do you want an explanation?

7 0

3 years ago

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Drag the tiles to the correct boxes to complete the pairs.

Mashcka [7]

Answer:

Part 1) $-17\frac{8}{9}$ -----> $-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

Part 2) $-15.11$ ------> $-12.48-(-2.99)-5.62$

Part 3) $-19\frac{8}{9}$ -----> $-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

Part 4) $-201.65$ -----> $-353.92-(-283.56)-131.29$

Part 5) $74$ ------> $83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

Step-by-step explanation:

Part 1) we have

$-6\frac{4}{9}-3\frac{2}{9}-8\frac{2}{9}$

To calculate the subtraction convert the mixed numbers to an improper fractions

$6\frac{4}{9}=\frac{6*9+4}{9}=\frac{58}{9}$

$3\frac{2}{9}=\frac{3*9+2}{9}=\frac{29}{9}$

$8\frac{2}{9}=\frac{8*9+2}{9}=\frac{74}{9}$

substitute

$-\frac{58}{9}-\frac{29}{9}-\frac{74}{9}=-\frac{(58+29+74)}{9}=-\frac{161}{9}$

Convert to mixed number

$-\frac{161}{9}=-(\frac{153}{9}+\frac{8}{9})=-17\frac{8}{9}$

Part 2) we have

$-12.48-(-2.99)-5.62$

To calculate the subtraction eliminate the parenthesis first

$-12.48-(-2.99)-5.62=-12.48+2.99-5.62=-15.11$

Part 3) we have

$-19\frac{2}{9}-4\frac{1}{9}-(-3\frac{4}{9})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$19\frac{2}{9}=\frac{19*9+2}{9}=\frac{173}{9}$

$4\frac{1}{9}=\frac{4*9+1}{9}=\frac{37}{9}$

$3\frac{4}{9}=\frac{3*9+4}{9}=\frac{31}{9}$

substitute

$-\frac{173}{9}-\frac{37}{9}-(-\frac{31}{9})$

Eliminate the parenthesis

$-\frac{173}{9}-\frac{37}{9}+\frac{31}{9}=\frac{(-173-37+31)}{9}=-\frac{179}{9}$

Convert to mixed number

$-\frac{179}{9}=-(\frac{171}{9}+\frac{8}{9})=-19\frac{8}{9}$

Part 4) we have

$-353.92-(-283.56)-131.29$

To calculate the subtraction eliminate the parenthesis first

$-353.92+283.56-131.29=-201.65$

Part 5) we have

$83\frac{1}{5}-108\frac{2}{5}-(-99\frac{1}{5})$

To calculate the subtraction convert the mixed numbers to an improper fractions

$83\frac{1}{5}=\frac{83*5+1}{5}=\frac{416}{5}$

$108\frac{2}{5}=\frac{108*5+2}{5}=\frac{542}{5}$

$99\frac{1}{5}=\frac{99*5+1}{5}=\frac{496}{5}$

substitute

$\frac{416}{5}-\frac{542}{5}-(-\frac{496}{5})$

Eliminate the parenthesis

$\frac{416}{5}-\frac{542}{5}+\frac{496}{5}=\frac{(416-542+496)}{5}=\frac{370}{5}=74$

3 0

3 years ago

(2x + 3) (2x2 – 2+4)

nadya68 [22]

Answer:

(2x + 3) (2(2)x2 – 2+4)

Step-by-step explanation:

thats what i got hope it helps :)

5 0

3 years ago

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