To address this issue, we will utilize the formula for determining the distance from a point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
We have the line equation:
y = 2 x + 4
Rearranging it results in:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
The coordinates given are:
(-4, 11) = (x, y)
Substituting into the distance formula:
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]
distance = 15 / sqrt (5)
distance ≈ 6.7
<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>
Answer:
Attached is the question in consideration.


forms a straight line.
depicts a right triangle.
The options
represent the correct answers.
Step-by-step explanation:
⇒ Given that
is ⊥
it constitutes a right triangle, leading to
.
⇒ The measure for
equals
as
bisects
, implying that
is half of
, thus
.
⇒
represents a straight line, as the angle measures across it yield
.
⇒ The angle measure for
is derived from the linear pair concept.
Since

, inserting the values of

leads to

.
The other two options are incorrect as:
it surpasses
while
is a
straight line.
- Also,
is inaccurate.
As
and 
Thus, we have a total
valid answers.
The confirmed options are
.
Answer:
"Ensure that one of them is a match"
Step-by-step explanation:
Generating heat through friction requires some practice. By elevating the wood's temperature, it's feasible to reach the necessary ignition temperature.
Successful fire-starting depends on proper technique and equipment. Failures often arise from inadequate approach and gear, which can complicate the learning process.
When selecting wood, aim for the following criteria:
- Dry tinder
- Wood should be compressible; if it isn't, it's too challenging.
- Wood that is moderately strong but not overly tough
- Avoid sap in the wood
Position the two pieces of wood at a 90-degree angle, resembling a cross. Support one stick vertically on the ground, while the other rubs against it quickly, using intervals.
Underneath, place dry tinder that catches fire swiftly after it's ignited.
For the Puzzle, remember the order of the words:
Ensure that one of them is a match.
Utilize tree wood, apply friction and heat until ignition occurs.