Answer:
C
Step-by-step explanation:
Given
2x² + x - 1 = 2 ( subtract 2 from both sides )
2x² + x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 3 = - 6 and sum = + 1
The factors are - 2 and + 3
Use these factors to split the x- term
2x² - 2x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x + 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
Answer:
-2r-19p
Step-by-step explanation:
-4p-2r-15p
add like terms
-2r-19p
Answer:
From 2.5 y to 1.5 y there is a 40 % DECREASE in the value.
Step-by-step explanation:
Here, the initial value = 2.5 y
The final value of 1.5 y
Now,as Final Value < Initial Value
So, there is a DECREASE IN THE VALUE.
Now, decrease in the value = Initial value - Final Value
= 2.5 y = 1.5 y = 1 y
or, there is a decrease of ( 1 y) in the given value.
Now, Percentage decrease in the value is given as:
or, Percentage Decrease = 40%
Hence, from 2.5y to 1.5y there is a 40 % DECREASE in the value.
Answer:
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, , where , , and are the three sides of the triangle and is the angle opposite to .
Let be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
Therefore, the shortest side of this triangle is 3.5.