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Alenkasestr [34]
3 years ago
10

Find the difference. Simplify. Combine Like Terms.

Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

\huge{ \fbox{ \sf{ - 2y - 30}}}

Step-by-step explanation:

\star{ \sf{ \: (4y - 10) - (6y + 20)}}

\text{Step \: 1 }\:  :  \sf{While \: subtracting \: sign \: of \: each \: term \: of \: the \: second \: expression \: changes}

\hookrightarrow{ \sf{4y - 10 - 6y - 20}}

\text{Step \: 2 \:  :  \sf Collect \: like \: terms}

\sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}

\hookrightarrow{ \sf{4y - 6y - 10 - 20}}

\hookrightarrow{ \sf{ - 2y - 10 - 20}}

\text{Step \: 3 \:  :  \sf{Calculate}}

\underline{ \text{Remember!}}  :  \sf{The \: negative \: integers \: are \:always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}

\hookrightarrow{ \sf{ - 2y - 30}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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olga55 [171]
I don't know for sure, but I think there might be an error in the way you copied your function. In all of my dealings with these types of problems, I have learned the formula to be h(t) = 15 + 10t - 16t^2. Notice the plus in front of the "10t". This is due to the fact that if he pushes off of the overhang he would have an upward force of 10 feet per second as soon as his feet left the ground. The only thing pulling him back to Earth is gravity, modeled by the "-16t^2". This is derived from a bit of slightly advanced physics involving the gravitational constant, but let's work under my formula for a second...

Either way, we will wind up using the Quadratic Formula (or possibly factoring if the numbers are easy enough to work with). So let's start. 

h(t)= 15 +10t - 16t^2

In order to use the QF or factoring I will need to make h(t)=0. Simply done by:

0= 15 +10t -16t^2

Looking at the numbers, I'd prefer to use the QF so here it is:

x= \frac{-b + or -  \sqrt{b^{2}-4ac } }{2a}

I know that my answer will need to be positive since you can't have a negative value when dealing with time, so I will eliminate the positive sign from the "+or-" part leaving me with:

x= \frac{-b -\sqrt{b^{2}-4ac } }{2a}

And I know that a= -16, b= 10, and c=15. So all that's left to do is substitute and solve.

x= \frac{-10 -\sqrt{-16^{2}-4*-16*15 } }{2*-16} 

There's a decent amount of math that would be difficult and sloppy for me to do over the computer, but all you need to do is solve the rest of the equation and you would get your answer.

Exact answer: \frac{5-4 \sqrt{15} }{8} or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

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3 years ago
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A three digit number is formed at random using the digits
kramer

Answer:

2/3, or 66.7%

Step-by-step explanation:

There are 2 options for the first digit (3 or 4).

After the first digit is selected, it cannot be repeated, so there are 2 options left for the second digit.

After the first two digits are selected, there is only 1 option for the third digit.

So there are 4 permutations greater than 300.

The total number of permutations is 3! = 6.

So the probability is 4/6 = 2/3.

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Examine the diagram. Triangle A B C. Side A C is parallel to a line. The line is at angle B. The angles formed by the line are 7
Marina CMI [18]

Answer:

alternate exterior angles m∠A =70 °

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Step-by-step explanation:

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The equation of the line in standard form is...
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Answer:

5x+9y=-16

Step-by-step explanation:

here is my work although I am not 100 percent sure I am right because,I am learning the same thing as you

-6+1 over 4+5

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y=-5/9x-16/9

5/9+y=-16/9

5x+9y=-16

8 0
3 years ago
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