The definition of the piece-wise function is:
.
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:
For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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Answer: 15 units .
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In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is: 15 units. (i.e., 15, 15, 15√2 ).
Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The outcomes of the pair of cubes that result in a sum of 5 are as follows:
(1,4), (2,3), (3,2), (4,1).
Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:
p = 2/4 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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Twice a number increased by 5= 2x+5
5 decreased by twice a number= 5-2x
twice the difference of a number and 5= 2(x-5)
Twice the sum of a number and 5= 2(x+5)
Five subtracted from twice a number= 2x-5
Twice a number, less 5= 2x-5
Answer:
firstly
we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°
88°+33°+L = 180° ( sum of angle in a ∆)
121° + L = 180°
L = 180° - 121°
L = 59°
Step-by-step explanation:
first you you must add all your angles and all equal to 180°
that you add the like terms
than you transpose 121° to the right hand side
