g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
Using the Pythagorean Theorem, the height of the equilateral triangle is given by:
A. inches.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs and of a right triangle with the length of the hypotenuse h, according to the following equation:
For this problem, we have that:
- The height is one side of the triangle.
- The other side is half the length, of 7 in.
- The hypotenuse is the length, of 14 in.
Hence the height is found as follows:
inches.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
x = 60°
Step-by-step explanation:
since, the triangles are complementary the sum of their measures will be 90°
now,
I don’t know really but my guess is 62%