Answer:
Step-by-step explanation:
exponential function : y = a(b)^x
where a = y intercept and b = factor ( number you are multiplying by )
according the the graph the y intercept is a 1 so a = 1
we now have y = 1(b)^x
to find the factor you plug in one of the ordered pairs into y = 1(b)^x
the ordered pair you use will not effect the outcome, i have chose (2,9)
y = 1(b)^x
(x,y) = (2,9) so x = 2 and y = 9
9 = 1(b)^2
divide both sides by 1
9 = (b)^2
take the square root of both sides
3 = b
the final equation is y = 1(3)^x or just y = 3^x
Answer:
∠ L = 109°
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
Thus ∠ J = ∠ G , substitute values
3x + 12 = 2x + 19 ( subtract 2x from both sides )
x + 12 = 19 ( subtract 12 from both sides )
x = 7
Then
∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°
∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°
By the sum of angles in a triangle = 180°, then
∠ F = 180° - (33 + 38)° = 180° - 71° = 109°
∠ F and ∠ L correspond , thus
∠ L = ∠ F = 109°
Answer:
yes because 3 is in - and it is less than 0
Answer:
line 2: y=1/5x-3
Step-by-step explanation:
