Answer:
-1/2
Step-by-step explanation:
The slope of a line parallel is to another line is the same.
So the line in the picture has a slope of -1/2, and since the other line is parallel to the first one, its slope is also -1/2
9514 1404 393
Answer:
x ≈ 0.7798
Step-by-step explanation:
For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.
e^(8x) = 512
8x = ln(512) . . . . . take the natural log
x = ln(512)/8 ≈ 0.7798
Answer:
<h2>Reflection.</h2>
Step-by-step explanation:
The image attached shows a representation of the problem, there you can observe the congruence between triangles.
Also, using the images you can easily deduct the transformation we need to map one triangle onto the other one, we just need to reflect one triangle across and axis that pass through point M, such line acts like a mirror.
Therefore, the right answer is reflection.
Given:
Consider the three number are given by:



To find:
The three numbers are the Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
We have,



Substituting 4 for x and 1 for y, we get



Similarly,


And,



The three three numbers are the Pythagorean triple are 8,15 and 17.
Therefore, the correct option is C.
Answer:
fourth option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y - 7)² = 2 ← is in standard form
with centre = (h, k) = (3, 7) and r² = 2 ⇒ r = 