Answer:
Step-by-step explanation:
Given
Required
Determine a and b
An exponential function is represented as:
By comparing: with
Answer:
His usual speed is 105 km/hr.
Step-by-step explanation:
Let his usually speed be s km/hr and the distance between the towns be d km. So we have the equations:
s = d/6
s - 15 = d / (6 + 1)
from the first equation:
d = 6s and from the second:
d = 7(s - 15)
Eliminating d we get:
6s = 7(s - 15)
7s - 105 = 6s
s = 105.
The answer to this question is B
Answer
x = 7.5
Explanation
This is a case of similar triangles.
Similar triangles have bigger triangles which have sides which are multiples of smaller triangles sides.
We know that the adjacent side of the bigger triangle is 6 and for the smaller triangle it’s 4 so the constant factor by which the sides of the small triangle are multiplied to obtain the sides of the large triangle is
6/4 = 3/2
Since we know the hypotenuse of the smaller triangle is 5.
Multiply this by 3/2 to get the hypotenuse of the bigger triangle
3/2 • 5 = 7.5
Hope this helped
