Answer:
y = 12 
Step-by-step explanation:
The standard form of the exponential function is
y = a 
Find a and b by substituting ordered pairs from the table into the equation
Using (0, 12 ), then
12 = a
( = 1 ), so
a = 12, then
y = 12 
Using (1, 34.8 ) , then
34.8 = 12 
( divide both sides by 12 )
b = 2.9
Thus exponential function is
y = 12
The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.
Given: line segment AB // to line segment CD, ∠B ≅∠D and line segment BF ≅ to line segment ED. Prove: Δ ABF ≅ Δ CED.
Follow the matching numbers on the statement versus reason chart.
Statement:
1. line segment AB // to line segment CD.
2. ∠B ≅∠D
3. line segment BF ≅ to line segment ED.
4. ∠A ≅∠C
5. Δ ABF ≅ Δ CED
Reason:
1. Given
2. Given
3. Given
4. Alternate interior angles are congruent.
5. Corresponding parts of congruent triangles are congruent.
Answer:
No
Step-by-step explanation:
The sum of a rational number and an irrational number is irrational.
