Answer:
First Question = 16 Second Question = 8
Step-by-step explanation:
First one
32+48=x(2+3)
80=5x
Divide each sides with 5 and you have x=16
Second one
32+48=4(x+12)
80=4x+48
subtract 48 from 48 and 80 and you have 32=4x.
Divide it with 4 both side and you have x=8
By <span>Pythagorean triple
a²+b²=c²,
c should be longest side
10²+14²=26²
100+196=676
296</span>≠676
so sides do not form Pythagorean triple, it is not a right triangle
The graph that does not represents a proportional relationship is: A (see image attached below).
<h3>What is a Proportional Relationship?</h3>
A proportional relationship has a constant, which is uniform and is defined in the equation y = kx, as k. This means a relationship that is proportionate will have an equation in that form.
For a proportional graph, the line must pass through the point of origin which is denoted by the ordered pair, (0, 0).
Therefore, from the options given, the option B represents a proportional relationship because it contains (0, 0), while option C and D takes the form of y = kx.
Therefore, option A does not represent a proportional relationship.
Learn more about proportional relationship on:
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Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem, we have that:
- The vertical distance is the height h.
- The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.
Hence:
tan(65º) = h/3.
h = 3 x tan(65º)
h = 6.43 miles.
The thundercloud is 6.43 miles above the ground.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
, x>=0
Step-by-step explanation:
To find the inverse function , replace f(x) by y
Replace x with y and y with x
Solve the equation for y
take square root on both sides
Now subtract 6 from both sides
replace y with g(x)