7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find).
A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem!
4.5^2 + h^2 = 9^2
h = sqrt(9^2 - 4.5^2)
Therefore, the height is 7.79cm (2 decimal places)</span><span>
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Answer:
First, let's write the general transformations:
a) A vertical stretch by a factor of 3.
f(x) ---> 3*f(x)
b) A reflection in the y-axis.
3*f(x) ----> 3*f(-x)
c) A translation of 2 units to the left.
3*f(-x) ----> 3*f(-x + 2)
then we know that:
g(x) = 3*f(-x + 2)
and f(x) = x^2 - x + 1
Then:
g(x) = 3*( (-x + 2)^2 - (-x + 2) + 1)
g(x) = 3*( x^2 - 4*x + 4 +x - 2 + 1) = 3*(x^2 - 3*x + 3)
g(x) = 3*x^2 - 9*x - 9
Answer:
1.43467643468
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
