Answer: y=2
Step-by-step explanation:
Answer:
Step-by-step explanation:The problem is very hard to read. When using exponents, please add the "^" in front. For example, is 132 actually 132, or is it 13^2? The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing. Making some assumptions, here is how the answer might look:
Both have the correct formula: a^2 + b^2 = c^2, assuming c is the hypotenuse.
If c is the hypotenuse, then the expression should be:
7^2 + b^2 = 13^2, or
49 + b^2 = 169
I like Sheridan's answer. So let's continue:
49 + b^2 = 169
b^2 = 169-49
b^2 = 120
b = 10.954 . . .
Yep, I'm on Sheridan's side. [That is, unless 72 is 72 and not 7^2, etc.]
<h3>
Answer: Choice B. 8/15</h3>
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Explanation:
x = 0.53333333... the 3's go on forever
10x = 5.3333333..... we have infinitely many 3's here as well
100x = 53.333333..... same story
Each time we multiply both sides by 10, we move the decimal point over 1 spot to the right.
Focus on this system of equations
Note how the decimal points line up so we can see both right sides have the same 33333... pattern
If we subtract those equations straight down, the left hand side turns into 90x because 100x-10x = 90x
The right hand side terms subtract to 48. The infinite number of 3's after the decimal will cancel out when we subtract. So we basically have 53-5 = 48.
After those subtractions, we now have the new equation 90x = 48
Divide both sides by 90 and reduce
90x = 48
90x/90 = 48/90
x = 48/90
x = (6*8)/(6*15)
x = 8/15
8/15 = 0.53333333....
The answer here is A which is the first graph.
Remember that if a is negative in the equation y = ax^2 + bx + c, the parabola always opens downward. For vertex, its coordinates is always located on the first quadrant in which all values are positive.