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Answers by Mykola V.

This is a question that requires the distance formula: d=√[(x2-x1)2+(y2-y1)2] Make the coordinates of one point x1 and y1, and the other point's coordinates x2 and y2. Plug them in and solve. Here's the set up: d=√[(6-1)2+(-7-5)2] or d=√[(1-6)2+(5-(-7))2]. It's important...

To start off we need to figure out with the information given how fast this car is actually going and then we can apply that to the 400 miles.  So what we do is take the 900 miles it traveled and divide it by 16 hours. This gives us the amount of miles it traveled every hour, in other words...

word problem (answer)

I'm only going to give a hint to this problem. The rest you should be able to finish yourself. So we need two equations here, one representing the total hours from each driving zone and one representing the amount of miles covered in each zone. Our two zone will be traffic which we will call...

When we have to distribute through multiplication, its usually means that we have two terms in a parentheses that are being multiplied by another number that's on the outside i.e. 8(3-10) = 8*3-10*8. In this case we only have one number being multiplied by 8 which is 33. But really what is 33...

When you have equations like this and you're given one of the variables, all you do is plug that variable value into the equation.  Here we have x=3. That means that in our equation y=3-4x, the x can be replaced with the 3 as follows: y=3-4(3). Multiply the 4 and 3. y=3-12. Subtract...

Sorry for being so late on the response. Take one of the equations and solve it for either the x or y variables. Let's take the second equation and solve for the y variable.  3x-2y=10 -> -2y=10-3x -> y=(10-3x)/-2 Now all we do is plug that in for the y variable in the first equation...

3(x-4)-6(x-5) (answer)

For this problem, let's start off with distributing the terms outside of the parentheses. Both the 3 and -6 will multiply both of the terms inside their respective parentheses. This will eliminate the parentheses. 3(x-4)-6(x-5) = 3*x-3*4-6*x-6*-5 = 3x-12-6x+30 Now all that's left is...

Prohibition is a legal act outlawing the manufacturing, sale and transport of alcohol and alcoholic beverages. In history, this terms is used for times when countries would ban alcohol. This idea goes back to the Xia Dynasty (ca. 2070 BC - ca. 1600 BC) in China when Yu the Great, the first ruler...

We only have multiplication and division to work with. So the way to approach this problem is to find all factors of 99 and a few multiples of it as well.  Factors: 1, 3, 9, 11, 33, 99. The only ones we can use are 3, 33 because we can't use the 9 key. Multiples of 99: 99, 198, 297,...

First, distribute the exponent 6 into the parentheses:  -26i6 We can calculate -26 easily but what about i6. Well there exist 4 specific values of in (n=1,2,3,4) that will help us figure this out. Here are the values in order: i1 = √-1 i2 = -1 i3 =...

Yuri Alekseyevich Gagarin was the first human in space. He was a Soviet pilot and cosmonaut. His trip was on the Vostok spacecraft and it completed an orbit of the Earth on April 12, 1961.

Follow order of operations: 6-1*0+2/2. First thing we do is multiply. 6-0+2/2. Second, we divide. 6-0+1. Lastly, we add all the terms together, neglecting the -0 because that doesn't represent any change. 6+1 = 7 (Answer)

Word Problem (answer)

For this problem we need to start with the 8 sandals we know of. These represent some fraction of the total amount of shoes in the display. We need to figure out what that fraction is.  Going back to the beginning, we had 1/3 of the display taken up by high-tops, 1/3 by boots and 1/6 by...

To convert from decimals and whole numbers to percentage, all you need to do is multiply by 100. So for your problem we have: 4.375*100=437.5% You can apply the reverse of this situation, percentage to decimals, and divide the percentage by 100.  Hope this helps! 

When we're asked to solve by factoring, we think of quadratic equations. We have all the necessary components here to make one, they're just scattered. Let's first bring all the terms to one side, preferably to the right so our t2 term remains positive.  0=4t2-6t-9+1 -> 0=4t2-6t-8...