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...

Let's start off with the formula for the area of a circle: A=πr2. A great way to remember this is to combine it with the circumference formula (C=πd) in a saying that goes like this: Cherry Pie is Delicious, Apple Pies aRe Too.  In any circle we have 360º around. If we know...

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...

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...

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.

For this question all we simply do is divide 72 by 480. This will give us the decimal .15. The decimal can be converted from here to percent by being multiplied by 100. .15*100=15%. So 72 is 15% of 480. Another way this can be solved is to divide 480 by 100%. This will show us what 1% of...

F is the element Fluorine. It has 7 electons which means it needs one more to have a complete 2nd shell of 8 electrons. It gets this one more electron from elements in lower groups such as H.  In our case we have element X forming a compound with 3 F's to make XF3. This means that our X...

I completely agree with George's method, and it does work for this case because it was stated that this is a polynomial function. But for more general cases, here's how you would approach this problem.  The first thing we look at is the relationship between the original function and it's...

In probability we have two types of events: Independent: Events who's probability is not affected by the previous event(s). Dependent: Events who's probability can be affected by preious event(s).  What we have in this case is a dependent event because when we don't replace the...

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)