Eliminate parenthesis by using the distribution property
= 5x² -3x +3 - x² - 2x +1
Group similar terms
= (5-1)*x² + (-3 -2)*x + (3+1)
Then sum everything:
= 4x² -5x +4
Given:
Consider the below figure attached with this question.
The linear equation is:

To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,

Substituting
in the given equation, we get



So, the value for first blank is -8.
Substituting
in the given equation, we get




So, the value for second blank is 3.
Substituting
in the given equation, we get



So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
The probability of not landing on blue is 2/3rds.
Answer:
Step-by-step explanation:
Angle sum property of triangle: Sum of all the angles of a triangle is 180
Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles
In ΔABC,
∠1 + 90 + 38 = 180 {angle sum property of triangle}
∠1 + 128 = 180
∠1 = 180 - 128

AB // CD and AC is transversal.
{Alternate interior angles are equal}
In ΔACD,
∠2 + ∠3 + 63 = 180 {angle sum property of triangle}
∠2 + 38 +63 = 180
∠2 + 101 =180
∠2 = 180 - 101

Answer:
see explanation
Step-by-step explanation:
Using the Pythagorean identity
cos²A + sin²A = 1 ( divide terms by cos²A )
+
=
, that is
1 + tan²A = sec²A ← as required