9514 1404 393
Answer:
lower left
Step-by-step explanation:
We notice that the answer choices have only the first equation changed. The equivalent of the first equation must have the same ratios of coefficients.
x-coefficient : y-coefficient : constant
= 2 : 1 : -15 . . . . . in the given equation
2 : -2 : 30 = 1 : -1 : 15 . . . upper left — not the same
-4 : -2 : -15 = 4 : 2 : 15 . . . upper right — not the same
-4 : -2 : 30 = 2 : 1 : -15 . . . lower left — same as the given equation
-4 : 1 : 30 = 4 : -1 : -30 . . . lower right — not the same
The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>
The equation of the function is given as:
The parent function of the above equation is:
First, the function f(x) is reflected across the y-axis to give
Next, the function is shifted 2 units up.
So, we have:
Rewrite as:
Express f(-x) + 2 as g(x).
So, we have:
Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
brainly.com/question/1548871
The figure is the right triangle DEF.
In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).
Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.
Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:
DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2
Taking square roots from both sides:
=> x = DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2
Remember, both legs have the same length.
Answer: 11√2
Answer:
q=90 units.
Step-by-step explanation:
√3×√48
√144
√12
the answer is 12
hope this helped!
