Answer:
17.7 cm
Step-by-step explanation:
One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th
To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem
Hypotenuse ² = Opposite ² + Adjacent ²
Hypotenuse = √Opposite ² + Adjacent ²
Opposite = 12 cm
Adjacent = 13 cm
Hence,
Hypotenuse = √12² + 13²
= √144 + 169
= 17.691806013 cm
Approximately = 17.7 cm
Therefore, the measure of the Hypotenuse is 17.7 cm
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
Answer:
y=3-2x
Step-by-step explanation:
Move all terms that don't contain y to the right and solve.
Answer:
Step-by-step explanation:
Given the function 
, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.
<em>Since we are not to solve for the constants, hence the partial fraction is </em>
Answer:
7
Step-by-step explanation:
The mode is the most repeated number in the data set. In this case, that is 7 because it's repeated 3 times.
