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3 years ago

What is the product?

Mathematics

1 answer:

Xelga [282]3 years ago

3 0

Answer:

-10d⁴ + 17d²s - 6s²

Step-by-step explanation:

Multiply using FOIL

First

-2d² * 5d² = -10d⁴

Outer

-2d² * -6s = 12d²s

Inner

s * 5d² = 5d²s

Last

s * -6s = -6s²

-------------------------

Together

-10d⁴ + 12d²s + 5d²s - 6s²

Combine like terms

-10d⁴ + 17d²s - 6s²

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Andreyy89

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If the length of FG is 6 units, what is the length of EH?

QveST [7]

FG goes through the center of the circle, so FG is diameter.

$d = 2r \\ r = \dfrac{d}{2} \\ \\ r = \dfrac{6}{2} = 3$

EH=r=3

Answer: EH=3

4 0

3 years ago

which ordered pair is a solution to the system of linear equations 1/2 x - 3/4 y = 11/60 and 2/5 x + 1/6 y = 3/10?

bekas [8.4K]

Value of $x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}$

Solution set is $(\frac{2}{3},\frac{1}{5})$

Step-by-step explanation:

We need to solve the following system of equations:

$\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}\,\,\,eq(1)\\\frac{2}{5}x+\frac{1}{6}y=\frac{3}{10}\,\,\,eq(2)$

We can solve this using Substitution.

Isolate x in $\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}$

$\frac{1}{2}x=\frac{11}{60}+\frac{3}{4}y\\ x=\frac{11}{30}+\frac{3}{2}y$

Putting value of x in equation(2)

$\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)+\frac{1}{6}y=\frac{3}{10}\\Solving:\\Taking\,\,LCM\,\,of\,\,5,6,10 \,\,we\,\,get: 30\\Multiply\,\,by\,\,LCM\\\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)\times30+\frac{1}{6}y\times30=\frac{3}{10}\times30\\Simplifying:\\12(\frac{11}{30}+\frac{3}{2}y)+5y=9\\\frac{22}{5}+18y+5y=9\\23y=9-\frac{22}{5}\\23y=\frac{45-22}{5}\\23y=\frac{23}{5}\\y=\frac{\frac{23}{5} }{23}\\y=\frac{1}{5}$

Putting value of y=1/5 in $x=\frac{11}{30}+\frac{3}{2}y$

$x=\frac{11}{30}+\frac{3}{2}\times\frac{1}{5} \\x=\frac{11}{30}+\frac{3}{10}\\x=\frac{11+3*3}{30}\\x=\frac{11+9}{30} \\x=\frac{20}{30}\\x=\frac{2}{3}$

So, value of $x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}$

Solution set is $(\frac{2}{3},\frac{1}{5})$

Keywords: System of linear Equations

Learn more about System of linear Equations at:

#learnwithBrainly

5 0

4 years ago

Eight hotdogs at the basketball park cost $28 how much does one hotdog cost

Igoryamba

28 divided by 8 is equal to 3.5, so one hotdog will cost $3.50

6 0

3 years ago

How do I simplify 4x^2+2x-x+2

Jlenok [28]

By subtracting x from 2x you’ll get the answer: 4x^2+x+2 I hope that helps!!

4 0

4 years ago