Answer:
Option d) all real numbers
Step-by-step explanation:
we have
using a graphing tool
The graph of the equation is a line that represent a direct variation ( the line passes through the origin)
therefore
The domain is all real numbers ---->interval (-∞,∞)
The range is all real numbers ---->interval (-∞,∞)
see the attached figure to better understand the problem
Answer:
y=2x-1
Step-by-step explanation:
Gradient : (7-3) / (4-2) = 2
y=2x+c
substitute one of the points
3=2*2+c
c=-1
y=2x-1
If you are working out the diagonal line you need to use Pythagoras Theroum: c² = a²+b²
c² = 7²+12² = 193
√c² = c = √193 = 13.89
The length of the diagonal side is 13.89,
Hope this helps! :)
Answer:
60 is the answer you're welcome
Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
- AB = 6
- BC = 8
- <ABC = 90°
- BD ⊥ AC
- <ABD =
We have to find the value for sin
So, Let's start solving....
In ∆ADB and ∆ABC,
- <A = <A (common)
- <ABC = <ADB (90°)
So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
In ∆ADB, we have to find sin which is given by perpendicular/base:
Plugging the values of AD and AB,
Simplifying,
And this is our final answer.....
Carry On Learning !