Answer:
y =
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points and (3, -1)
For the point ,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=
From equation (2)
-1 =
-1 =
a = 8
Therefore, equation of the exponential function will be,
y =
Given: ∠JNL and ∠MNK are vertical angles and m∠MNK=90°
Prove: ∠JNL is a right angle.
Statements Reasons
1. ∠JNL and ∠MNK are vertical angles. Given
2. Vertical angle theorem
3. Angle congruence postulate
4. Given
5. <u> Substitution Property of Equality</u>
Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.
Therefore,
6. ∠JNL is a right angle. Definition of right angle
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Top down, left to right, the sums are ...
1/3 +3/6 = 2/6 +3/6 = 5/6 . . . pink
1 1/5 + 1 2/10 = 1 1/5 + 1 1/5 = (1 +1) +(1/5 +1/5) = 2 2/5 . . . green
2 2/6 +1 2/8 = 2 1/3 +1 1/4 = (2 +1) +(4/12 +3/12) = 3 7/12 . . . violet
1/7 +2/3 = 3/21 +14/21 = 17/21 . . . yellow
2 3/4 +2/6 = 2 9/12 +4/12 = 2 13/12 = 3 1/12 . . . brown
