Answer:
6.0
Step-by-step explanation:
This involves using SOH CAH TOA.
we use Sin as we want to find x (which is side O, and we are given H).
So we get sin37 = O/H
= x/10
so x = 10 sin 37 = 6.018... = 6.0 to the nearest tenth.
Answer:
f(-2) = -1
Step-by-step explanation:
-2 is x, so replace x as -2 into the equation
f (-2) = 2(-2) + 3
f (-2) = -4 + 3
f (-2) = -1
Answer:
she shouldn't adjust the compass width.
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The equation of the given line is expressed as
3x - 6y = 30
Rearranging it so that it will look like the slope intercept form, it becomes
6y = 3x - 30
Dividing both sides by 6, it becomes
6y/6 = 3x/6 - 30/6
y = x/2 - 5
Looking at the equation, slope, m = 1/2
If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2
To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute
x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes
- 9 = 1/2 * 4 + c
- 9 = 2 + c
c = - 9 - 2
c = - 11
By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be
y = x/2 - 11
