Step-by-step explanation:
our equation is x²+16x = -44
- x²+16x= -44
- x² is the first term so weill have in the middle 2*x* a number
- x²+2*x*8 = -44
- the third term is 8² wich is 64 so we will add it in both sides
- x²+2*x*8+64 = -44+64
- (x+8)² = 20
Now that we have completed the perfect square let's solve the equation
- (x+8)² = 20
- x+8 =
or x+8= - - x = -8+ or x = -8-
so the first answer is the correct one
64; 8 +/-
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Step-by-step explanation:
We need to pick the expression that matches this description:
A trinomial with a leading coefficient of 3 and a constant term of -5
First lets explain the terms:
Trinomial: a polynomial having 3 terms
Leading coefficient: The constant value of variable having highest power
Constant term: Having no variable and value cannot be changed.
Now using these definitions, we can choose the correct option
Option A is incorrect because the expression has 2 terms
Option B is incorrect because it is a trinomial but the leading coefficient is -5 and not 3 constant term is 3 and not -5.
Option C is correct because it is a trinomial with a leading coefficient of 3 and a constant term of -5
Option D is incorrect because it is a trinomial but the leading coefficient is 3 but constant term is 1 and not -5.
So, Option C is correct.
Keywords: Algebra
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1.
Multiply 2y by 4y because they are similar
8y=8
8/8=1
Answer:
50 inches.
Step-by-step explanation:
Let the length of the each ribbon was x.
Now, she cuts 9 pieces of same length L which means total length is 9L.
Now, doing the same she was left with 5 inches of ribbon. Hence, we have
[tex[9L+5=x.....(1)[/tex]
Similarly, we can write a equation for the second situation.
From equation 1 and 2,
Plugging this value in equation 1,
Therefore, the length of each ribbon when she bought them was 50 inches.
Answer:
a ) If r ⇒ p
If q ⇒ p
r ∪ q
If r∪p ⇒ ¬ r
∴ s
b) The argument is invalid
Step-by-step explanation:
The argument is invalid because we do not with precision if b), because we do not have enough information about it, and this is because the previous sentences does not mention information about the donkey. We cannot infer something when we do not have enough information.
