Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
The $315 cost of the couch after tax, gives the cost before tax, <em>C</em>, as the following equation;
The cost of the couch with tax = $315
Let, <em>t</em>, represent the tax rate, and let <em>C</em>, represent the cost before tax, we have;
315 = C + C × t
Which gives;
Mathematically, we have the following equation;
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9514 1404 393
Answer:
Step-by-step explanation:
The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...
3x +12 < 0
x +4 < 0
x < -4 . . . . . makes the absolute value function change its argument's sign
Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.
9514 1404 393
Answer:
3.08 hours
Step-by-step explanation:
We assume you're interested in the time in hours.
It will take 3.08 hours to travel 175 miles at that speed.
For this case we must complete squares:
We add the square of half the coefficient of the term "x",
on both sides of the equation:
According to the perfect square trinomial we have:
Rewriting the expression we have:
ANswer: