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Vadim26 [7]
4 years ago
13

Complete the square

Mathematics
1 answer:
Shkiper50 [21]4 years ago
6 0
2x^{2}+4x-12=2(x+1)^{2}-14
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Nora's paper airplane flew 9 1/6 feet. That was 2 3/4 feet farther than Max's plane flew. Write and solve an equation to show ho
stepan [7]

Answer:

Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

Step-by-step explanation:

As Nora's paper airplane flew 9 1/6 feet

i.e.

9\frac{1}{6}=\frac{55}{6}

Nora's paper was farther than Max's plane flew by = 2 3/4 feet

i.e.

2\frac{3}{4}=\frac{11}{4}

Thus the equation to show how far Max's paper airplane flew is:

\:\:9\frac{1}{6}-2\frac{3}{4}

=\frac{55}{6}-\frac{11}{4}

\mathrm{Least\:Common\:Multiplier\:of\:}6,\:4:\quad 12

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

=\frac{110}{12}-\frac{33}{12}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

=\frac{110-33}{12}

\mathrm{Subtract\:the\:numbers:}\:110-33=77

=\frac{77}{12}

=6\frac{5}{12}

Therefore, Max's paper airplane flew \frac{77}{12} feet or 6\frac{5}{12} feet.

6 0
3 years ago
What is the slope of the line described by the equation below?
Harrizon [31]

Answer:

-6

Step-by-step explanation:

y=-6x + 3

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is -6 and the y intercept is 3

6 0
4 years ago
Read 2 more answers
Kelly went to a hockey game with her family. They bought 4 bags of cotton candy and 2 souvenir cups and spent $36. Marissa's fam
erik [133]
4b+2c=36, solve for b, subtract 2c from both sides

4b=36-2c  divide both sides by 4

b=9-0.5c

Then we are told that:

7b+3c=59, using b=9-0.5c we get:

7(9-0.5c)+3c=59  perform indicated multiplication on left side

63-3.5c+3c=59  combine like terms on left side

63-0.5c=59  subtract 63 from both sides

-0.5c=-4 divide both sides by 0.5

c=8

So each souvenir cup costs $8.

(and each bag of cotton candy is $5)
3 0
3 years ago
Equivalent expression for 7 to the 12th power times 7 to the 4th power
seraphim [82]

Answer:

7 to the sixteenth power

Step-by-step explanation:

When multiplying these two powers of the base 7 together, we add the exponents:

7^12 * 7^4 = 7^16

This is "7 to the sixteenth power"

5 0
3 years ago
PLSSS HELP GIVING BRAINLIEST
Vaselesa [24]

Answer:

i think it may be  21.98 but i dunno

Step-by-step explanation:

3 0
3 years ago
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