Answer:
A is the answer
Step-by-step explanation:
If you compare table values to answer choices, you can see right away that several don't work. The number of centimeters is greater than the number of inches, so adding to or multiplying the number of centimeters by some number more than 1 will not give you the smalller number that is inches.
While it may work for the first number (5 inches) to add 7.7 to get the first number of centimeters (12.7), you have to know that you can only add like to like. You can only add inches to inches (getting a result of inches), or centimeters to centimeters (getting a result of centimeters). From the point of view of the units involved, it is <em>nonsensical</em> to add a pure number to a number of inches and expect to get a number of centimeters.
So, we're down to the second choice:
- The number of inches is multiplied by 2.54 to find the number of centimeters.
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To find the pattern in the table, you can ...
- observe that the inch values differ by 1
- observe that the centimeter values differ by 2.54
- realize that the constant differences mean the relation between inches and centimeters is linear, and that a change in an inch value of 1 inch is multiplied by 2.54 to find the corresponding change in centimeter value.
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I don't know what the first step in your problem solving process is supposed to be. In my problem solving process, the first step is always to <em>look at what you are given</em>. The next step is <em>look at what you are being asked for</em>.
Hey there! I'm happy to help!
First, let's multiply the numerators. We will put q+5 in parentheses so we can multiply it by 4q.
4q(q+5)
We use the distributive property to undo the parentheses.
First, we multiply 4q by q.
4q×q=4q²
And we multiply 4q and 5.
4q×5=20q
So, our numerator right now is 4q²+20q.
Now, for the denominators.
2(q+4)
We do 2 by q.
2×q=2q
And 2×4, which is 8.
So, our denominator is 2q+8.
Right now, our fraction is 
, and this is your correct answer. However, we can simplify it a bit more. We can divide the 4 by 2, q² by q, and simplify the 20 and the 8.
4/2=2
q²/q=q
20/8=5/2
Now, our final product is (2q+5)/2
But, mark down your answer as because that is technically correct.
Have a wonderful day! :D
Answer:
x = sqrt(11)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse
x^2 +(sqrt(5))^2 = 4^2
x^2 +5 = 16
x^2 =16-5
x^2 = 11
Taking the square root of each side
x = sqrt(11)
