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3 years ago

Which value is needed to create a perfect square trinomial from the expression x^2+8x+___?

Mathematics

1 answer:

leonid [27]3 years ago

3 0

${( \frac{b}{2}) }^{2} \\ ( { \frac{8}{2} )}^{2} \\ ( {4})^{2} \\ 16$

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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

Find the measure of each angle in the triangle.

VMariaS [17]

Answer:

C. 26°, 64°, 90°

Step-by-step explanation:

7 0

3 years ago

What is the volume of the figure???

lianna [129]

Answer:

1530cm

Step-by-step explanation:

First figure (9x10)x9=810

Second figure (18x10)x4=720

720+810=1530

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3 years ago

Need help plz its on the screenshot

user100 [1]

The answers are a and c

4 0

3 years ago

Read 2 more answers

-9x^5 + 36x^4 + 189x^3 in factored form

Alex73 [517]

Answer:

-9x^5(x+3)(x-7)

Step-by-step explanation:

factor out -9x^3 from the expression

8 0

3 years ago