Remember you can do anything to an equation or inequality as long as ou do it to both sides
also, when multiplying by a negative number in an inequality, don't forget to flip the sign
5+5(x+4)<20
minus 5 from both sides
5(x+4)<15
divide both sides by 5
x+4<3
minus 4 from both sides
x<-1
We must follow order of operations rules (PEMDAS) here: exponentiation first, followed by multiplication and division, followed by addition and subtraction.
Thus, -2^2-3(-2)+1 becomes:
-[4] + 6 + 1 = 2 + 1 = 3 (answer)
Answer:36
Step-by-step explanation:
you do 3 / 10 then multiply by 120
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>