Answer:
f(x)=(x-3)^2-7
Step-by-step explanation:
Vertex form: f(x) = a(x-h)^2+k
x^2-6x+9+2=f(x)+9
(x-3)^2+2=f(x)+9
f(x)=(x-3)^2-7
Hoi!
The converse of the Pythagorean Theorem states that <span>if the square of the length of the longest
side of a triangle is equal to the sum of the squares of the other two
sides, then the triangle is right.
To determine if this is a right triangle, let's figure out the values of each side.
√36 = 6
√18 = 4.2
Now we use the formula a² + b² = c² to determine if this is a right triangle.
4.2² + 4.2² = 6²
18 + 18 = 36
36 = 36
This triangle is a right triangle, so your answer is True.
</span>
Answer: 2/3
Step-by-step explanation: We can rewrite the ratio 6 out of 9 as the fraction 6/9 by putting 6 in the position of the numerator and 9 in the position of the denominator.
Notice however, 6/9 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 9 which is 3 to get the equivalent fraction 2/3.
Therefore, the ratio 6 out of 9 can be rewritten as the fraction 2/3.
Answer:
The sum of the first 41 terms is 6232
Step-by-step explanation:
Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.
It says that three-fourth of the total weight is metal and says to find the weight of wooden part.
We can find the weight of metal part and then subtract it from the total weight to calculate the answer.
Total weight = 14.9 kilograms.
Metal part = three-fourth of total weight = 
Wooden part = 14.9 - 11.175 = 3.725 kilograms.
Hence, the wooden part is 3.725 kilograms.
