Y+4+3y+6
4y+10
Here the answer!
Answer:
D. x<-9
Step-by-step explanation:
-3(x+5)>12
x+5<12/-3
x+5<-4
x<-4-5
x<-9
Answer:
d = 12.21
Step-by-step explanation:
1) Subtract 4 from both sides.
d = 16.21 - 4
2) Simplify 16.21 - 4 to 12.21.
d = 12.21
Check the answer!
⇒ d + 4 = 16.21
1. Let d = 12.21.
⇒ 12.21 + 4 = 16.21
2. Simplify 12.21 + 4 to 16.21
16.21 = 16.21
Done!
Thanks,
Eddie
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
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Explanation:
Theorems about triangles identify relationships that can be used to formulate equations that can be used in the problem-solving process.
The idea with problem solving is to start with what you know, and make use of the relationships between that and what you don't know in order to find a solution.
