Answer:
<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>
Step-by-step explanation:
If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.
We have the proportion:

and equations:

We have:

For y we must use the Pythagorean theorem:

<em>cross multiply</em>

<em>divide both sides by 8</em>

Answer:
y=9/7x+5
Explanation:
We have the slope, and a point that is not an intercept. We can use Desmos graphing calculator to test y-intercepts.
Answer:
9000 metres
Step-by-step explanation:
He went on a 54 km hike. First, we have to find this distance in metres.
1 km = 1000 m
54 km = 54 * 1000 = 54000 m
He divided the distance evenly over 6 days.
To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:
54000 / 6 = 9000 metres
He walked 9000 metres each day.
Answer:
f(x)=x^2+3
f(x+y)=(x+y)^2+3
this is done by replacing x with (x+y)
f(x+y)=x^2+2xy+y^2+3
therefore : f(x+y)= x^2+y^2+2xy+3
Answer:
Please check the explanation and attached graph.
Step-by-step explanation:
Given the parent function
y = |x|
In order to translate the absolute function y = |x| vertically, we can use the function
g(x) = f(x) + h
when h > 0, the graph of g(x) translated h units up.
Given that the image function
y=|x|+4
It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.
The graph of both parent and translated function is attache below.
In the graph,
The blue line represents the parent function y=|x|.
The red line represents the image function y=|x| + 4.
It is clear from the graph that the y=|x| + 4 translated '4' units up.
Please check the attached graph.