Answer:
D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.
Step-by-step explanation:
The Pythagorean Theorem is modeled by a² + b² = c².
c represents the hypotenuse and a and b represent the other two sides.
The Pythagorean Theorem can only be applied to right triangles.
Answer: the rate of the river's current is 14 mph.
Step-by-step explanation:
Let x represent the rate of the river's current.
The speed of the motor boat in still water is 35 mph.
Since the boat travelled more miles downstream than upstream at the same time, it means that while going downstream, it moved in the direction of the current and while going upstream, it moved against the direction of the current. The total speed downstream would be
(35 + x) mph and the total speed upstream would be (35 - x) mph.
Time = distance/speed
If the boat can travel 7 miles downstream, the time spent travelling downstream is
7/(35 + x)
At the same time it takes to travel 3 miles upstream, the time spent travelling upstream is
3/(35 - x)
Since the time is the same, then
7/(35 + x) = 3/(35 - x)
Cross multiplying, it becomes
7(35 - x) = 3(35 + x)
245 - 7x = 105 + 3x
3x + 7x = 245 - 105
10x = 140
x = 140/10
x = 14
The correct answer is B and D.
Answer choice A is a ray, not a plane.
Answer choice C is not even a plane.
M is the name of the plane. Also, plane SRX is a plane because it contains points that are not all in a straight line and are on the same plane.
Y = x/4 - <span>€
y = (1/4)x - </span><span>€
</span><span>
y = 0.25x - </span>€ comparing to y = mx + c
m = slope = 0.25 or (1/4)
It's <span>0.73 as a DECIMAL.
and it's 73% as a PERCENT.</span>
