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3 years ago

what is the simplified expression of the following polynomial: xy4 + 5y7 - (6xy + 7y7) - x8y2 + (-3xy4) Step by Step

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

-x^8y^2 -2y^7 -2xy^4 -6xy

Step-by-step explanation:

Eliminate parentheses.

xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4

Arrange in descending degree order, group like terms.

-x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy

Combine like terms.

-x^8y^2 -2y^7 -2xy^4 -6xy

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PLEASE HELP ME IM STRUGGLING!!!

Kitty [74]

Answer:

The required answer is $c=7\sqrt{3}$

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

$\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\$

Substituting the values we get

$\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7$

Now in Triangle ADC Tangent identity we have

$\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}$

Substituting the values we get

$\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}$

The required answer is $c=7\sqrt{3}$

8 0

3 years ago

(Who ever helps get brainly :D )

finlep [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

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Solve each system of equations.<br><br> 4x + 6y = 8<br> 5x – 4y = 25

Lubov Fominskaja [6]

$\left \{ {{4x+6y=8} \atop {5x-4y=25}} \right. \\ \left \{ {{4x+6y=8} \atop {5x=25+4y}} \right.\\ \left \{ {{4x+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{4(5+0.8y)+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{20+3.2y+6y=8} \atop {x=5+0.8y }} \right. \\ \left \{ {{9.2y=-12} \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -\frac{12}{9.2} } \atop {x=5+0.8y }} \right. \\ \left \{ {{y= -\frac{120}{92} } \atop {x=5+0.8(-\frac{12}{9.2}) }} \right. \\$
$\left \{ {{y= -1\frac{28}{92} } \atop {x=5-\frac{96}{92} }} \right. \\ \left \{ {{y= -1\frac{7}{23} } \atop {x=5-1\frac{1}{23} }} \right. \\ \left \{ {{y= -1\frac{7}{23} } \atop {x=4\frac{1}{23} }} \right. \\$
$\boxed{(x; y)=(4\frac{1}{23}; -1\frac{7}{23}) }$

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3 years ago

Help ASAP DUE IN 26 MINUTES PLEASE I BEG YOU !!! 7 & 8please!

Lynna [10]

This is question #8. First what you do is turn all the denominators to 8, and them you just add, so it's 3.5 in decimal, and 3 4/8 in mixed fraction, and if you simplify that you get 3 1/2 as your fraction, and if you want that as improper fraction you get 28/8. And for #7 there must be a diagram, can you show me that, maybe I can help.

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3 years ago

There are 18 gallons of water in the tank. The tank is 3/4 full. How many gallons of water g can the tank hold

lianna [129]

Answer:

24 gallons

Step-by-step explanation:

18 divided by 3 is 6

6 x 4 = 24

so there are 24 gallons as a whole

4 0

3 years ago

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