Answer:
<em>Jane traveled 8 miles farther then her trainer</em>
Step-by-step explanation:
<u>The Pythagora's Theorem</u>
In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:
Where
c = Hypotenuse or largest side
a,b = Legs or shorter sides
Jane's path from the Health Club to the end of her route describes two sides of a right triangle of lengths a=16 miles and b=12 miles.
Her total distance traveled is 16 + 12 = 28 miles
Her trainer goes directly from the Health Club to meet her through the hypotenuse of the triangle formed in the path.
We can calculate the length of his route as:
c = 20 miles
The difference between their traveled lengths is 28 - 20 = 8 miles
Jane traveled 8 miles farther then her trainer
Answer: 18
<u>Do Keep Change Flip (KCF)</u>
Keep: 9/2
Change: ÷ into ×
Flip: 1/4 into 4/1
Your new problem should be 9/2×4/1
<u>Multiply</u>
9/2×4/1=36/2
36/2=18
Final Answer: 18
9514 1404 393
Answer:
x = -1/2, x = 7
Step-by-step explanation:
Written in standard form, the equation is ...
2x² -13x -7 = 0
We observe that factors of (2)(-7) that have a sum of -13 are -14 and +1. Rewriting the middle term using these numbers, we have ...
2x² -14x +x -7 = 0
2x(x -7) +1(x -7) = 0 . . . . . factor pairs of terms
(2x +1)(x -7) = 0 . . . . . . . . factored form
The solutions are the values of x that make these factors zero.
2x +1 = 0 ⇒ x = -1/2
x -7 = 0 ⇒ x = 7
The solutions to the quadratic are x = -1/2 and x = 7.
The value of f(19) in the given equation is 55.
<h3>What is the function of a linear equation?</h3>
The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.
Given that:
We are to find the f(x) = 19.
So;
f(19) = 3(19) - 2
f(19) = 57 - 2
f(19) = 55
Learn more about the function of a linear equation here:
brainly.com/question/14323743
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