Two integers with polar signs can have the same absolute
value.
Absolute value measures the displacement of a number from 0 disregarding
the direction.
Examples are:
<span>1.-8 and +8,
their absolute values is |8| = 8</span>
<span>
2.+ 5 and -5
= |5| = 5</span>
<span>
3.1 + 2
absolute value is 3</span>
<span>
4.-10 + 2 = usually
the answer is -8 but its absolute value is 8</span>
<span>
5.Same with
-6 = |6| = 6</span>
Answer:
a * c^2 = b
Step-by-step explanation:
you would want to multiply both sides of the equation by c^2
a * c^2 = b
That gets you this formula you can then plug your numbers in
Answer:
3:7
Step-by-step explanation:
So to solve this problem, you have to understand what the ratio 1:4 and 2:3 means. The 1:4 ratio in the first equation means that for "each unit of alcohol" there is 4 of those units of water. So let's say I had 2 gallons of alcohol and mixed it with 8 gallons of water. This means for each gallon of alcohol, there is 4 gallons of water, or in other words a 1:4 ratio. This can be described as a percentage as well. For each 5 gallons there are 4 gallons of water, and 1 gallon of alcohol or <em>20%</em> is alcohol. So let's just say that x=alcohol and y=water, this means that: where c is the total amount in the glass. This means that:
Let's do the same thing to the second equation. the ratio means that for every 2 units of alcohol there are 3 units of water. This means for every 5 gallons of the mixture there is 2 units of alcohol which is 40%. In this case let's also say that j=alcohol and k=water. This means that: and that: .
So if we're going to add the two glasses, we simply add the two sides, and get: . Now remember how can can express j and x in terms of c, since it's a certain percentage of c (the entire thing). This means that we get: Now we can add like terms to get the equation: . We can find how much 0.6c is to 2c by dividing the 2, in doing so we get that 0.6c/2c = 0.3, or in other words the 0.6c is only 30% of the final mixture, and since the 0.6c represents the alcohol in this mixture, that means that's the percentage of alcohol. To write this as a ratio, this means for every 3 units of alcohol, there is 7 units of water, because 3/10 = 30%.
Area of Circle = πr^2
Since we know that r=6.3:
π(6.3)^2=39.69 π=124.690
So, the area would be 124.690.
Answer:
y=3.25x
Step-by-step explanation:
you can multiply 2.10x times 1.15 which will give you 3.25 for your answer.