Answer:
-10
Step-by-step explanation:
70= -7k
70 -7k
-- --
-7 -7
-10=k
Have a great day
<h2>
Answer:</h2>
A.) {-6, -2, 5}
<h2>
Step-by-step explanation:</h2>
A function
from a set
to a set
is a relation that assigns to each element
in the set
exactly one element
in the set
. The set
is the domain (also called the set of inputs) of the function. From the figure, we can see that this set is the x-coordinate of each red point. So this set is {-6, -2, 5}
The zip line forms a right triangle with the tree, when elevated
The height of the tree is 35 meters
<h3>How to calculate the height of the tree</h3>
Represent the height of the tree with h.
So, the height h is calculated using the following sine function

Make h the subject
h = 200 * sin(10)
Evaluate the product
h = 35 meters
Hence, the height of the tree is 35 meters
Read more about right triangle at:
brainly.com/question/2217700
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )