False. Perpendicular lines run beside each other not through each other.
<h3>
Answer:</h3>
y - 2
<h3>
Step-by-step explanation:</h3>
You get 2 less than a value when you subtract 2 from that value.
9514 1404 393
Answer:
96 yards
Step-by-step explanation:
The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.
The diagonal is the hypotenuse, so we have ...
100² = 28² + w²
w = √(10000 -784) = 96
The width of the park is 96 yards.
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<em>Additional comment</em>
The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).
You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.
Short Answer: g(x) = -3x This is a teaching question.
Remark
Define and describe f(x)
f(x) is read as y is dependent of x. The notation of f(x) with some exceptions is the same thing as y. What it stands for and what it can be used for is to tell you want value x can have if you want a specific value for x.
Suppose you are given
y = x + 2
Then suppose there is another statement above it
Let x = 5
y = x + 2
y = 5 + 2
y = 7
Instead of writing the top statement
Let x = 5
You use the shorthand
f(5) = x + 2
f(5) = 5 + 2
f(5) = 7.
So what does all this come down to. It is just a short way of writing Let x = ?
f(?) is what x will equal. x will become ?.
Your Question.
Remember that f(x) tells you what x becomes
f(5) means that x = 5.
Is that more than 4 or is that less than 4? It's a serious question.
Of course 5 is greater than 4. So that means that g(x) = - 3x. You don't have to do anything. Just read it.
