Rewrite the given equation in slope intercept form:
5 y = 10 – 2 x
y = - 0.4 x + 2
Since the two lines are parallel, therefore they have
similar slope which is – 0.4, so the equation is:
y = - 0.4 x + b
Given that x = 5, y = -4, find for b:
-4 = - 0.4 (5) + b
b = -2
So the answer is:
y = - 0.4 x – 2
or
<span>2 x + 5 y = - 10</span>
Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
Rounded to 1 decimal place,
h = 5.4
Answer:
Denote O as center of circle, draw OA, OC.
As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):
=> AOC + D = 180
Moreover, angle AOC = 2 x angle B = 2 x 65 = 130
=> D = 180 - 130 = 50 deg
Hope this helps!
:)
The population in the year 2020 is 4628
<h3>How to determine the population?</h3>
The given parameters are:
Initial, a = 12910
Rate, r = 5%
Since the population decreases, then we make use of an exponential decay function.
This is represented as:
f(n) = a * (1 - r)^n
So, we have:
f(n) = 12910 * (1 - 5%)^n
Evaluate the difference
f(n) = 12910 * 0.95^n
2020 is 20 years from 2000.
So, we have:
f(20) = 12910 * 0.95^20
Evaluate
f(20) = 4628
Hence, the population in the year 2020 is 4628
Read more about exponential functions at:
brainly.com/question/14355665
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