Answer:
Not a function
Step-by-step explanation:
This is not a function because there are different outputs for the same input.
The term axiom is used to describe statements that is taken to be true and can not be proofed. The axioms are taken as the most true statements (more true than theorems and conjectures) and are used as a starting points for other proofs and argumentation. Proof is <span>the sufficient evidence for the truth of a statement. So, in order to obtain a proof several true statements (axioms) must be used. </span>
Answer:
23.5 in
Step-by-step explanation:
To find the length of HJ in triangle GHJ, create <u>three equations</u> using the given information, then solve simultaneously.
<u>Equation 1</u>
HJ is two inches longer than GH:
⇒ HJ = GH + 2
<u>Equation 2</u>
GJ is 17 inches shorter than the sum of HJ and GH:
⇒ GJ + 17 = HJ + GH
<u>Equation 3</u>
The perimeter of ΔGHJ is 73 inches:
⇒ HJ + GH + GJ = 73
<u>Substitute</u> Equation 1 into <u>Equation 2</u> and isolate GJ:
⇒ GJ + 17 = GH + 2 + GH
⇒ GJ + 17 = 2GH + 2
⇒ GJ = 2GH - 15
<u>Substitute</u> Equation 1 into <u>Equation 3</u> and isolate GJ:
⇒ GH + 2 + GH + GJ = 73
⇒ 2GH + GJ = 71
⇒ GJ = 71 - 2GH
<u>Equate</u> the two equations where GJ is the subject and <u>solve for GH</u>:
⇒ 2GH - 15 = 71 - 2GH
⇒ 4GH = 86
⇒ GH = 21.5
<u>Substitute</u> the found value of GH into <u>Equation 1</u> and solve for HJ:
⇒ HJ = 21.5 + 2
⇒ HJ = 23.5
Answer:
7,5
Step-by-step explanation:
pattern: +3, then -2
4+3 = 7
7-2 = 5
You have to use the different exponent rules you can search them up to see what you have to do
