Answer:
6 times the sum of a number and 12 is 114. The number is 17
Step-by-step explanation:
6 x 17 + 12= 114
Answer:
200
Step-by-step explanation:
T = x * (1/H)
x = T*H
x = 2800
so for H = 14
T = 2800 * (1/14) = 200
Answer:
(5x-1)^2=16
Step-by-step explanation:
Answer:
a) OA = 1 unit
b) OB = 3 units
c) AB = √10 units
Step-by-step explanation:
<u>Given function</u>:

<h3><u>Part (a)</u></h3>
Point A is the y-intercept of the exponential curve (so when x = 0).
To find the y-value of Point A, substitute x = 0 into the function:

Therefore, A (0, 1) so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If BC = 8 units then the y-value of Point C is 8.
The find the x-value of Point C, set the function to 8 and solve for x:

Therefore, C (3, 8) so Point B is (3, 0). Therefore, OB = 3 units.
<h3><u>Part (c)</u></h3>
From parts (a) and (b):
To find the length of AB, use the distance between two points formula:


Therefore:




