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Kay [80]
4 years ago
14

How are equivalent fractions used in renaming when subtracting?

Mathematics
1 answer:
hjlf4 years ago
6 0
It is used by turning it into a mixed number
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What is equivalent to 0 = 2x2 - 16x – 18 when completing the<br> square?
algol13

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

6 0
3 years ago
You and a friend go to the store and purchase 3 candy bars that cost $0.85 each and 2
kondor19780726 [428]
3 times 0.85 + 2 times 1.89 equals 6.33
Divide 6.33 by 2 equals $3.165
5 minus 3.165 = $1.835
Which $1.835 is your change you receive
3 0
3 years ago
Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
8090 [49]

Answer:

49.41

Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom +   left side + square root of right side squared.

5 0
3 years ago
If the APY of a savings account is 3.9%, and if the principal in the savings account is $3700 for an entire year, what will be t
joja [24]

Answer:

Option B. \$3,844.30

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=1\ years\\ P=\$3,700\\r=0.039

substitute in the formula above

A=\$3,700(1+0.039*1)=\$3,844.30

4 0
3 years ago
Read 2 more answers
A spherical tank has a capacity of 800 gallons. Using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (t
nydimaria [60]

Solution-

Capacity of the spherical tank = 800 gallons.

1 gallon = 0.1337 ft³,

Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³

Formula for the volume of sphere

V =\frac{4\pi r^{3}}{3}

Equating both the volumes

⇒ \frac{4\pi r^{3}}{3} = 106.96

⇒ r^{3} = 25.53

⇒ r = \sqrt[3]{25.53}

⇒ r = 2.94

∴ Radius of the sphere is 2.94 ft


6 0
3 years ago
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