i dont have time to do all of it (sorry)
but this is how you do the point and slope questions:
use the equation: y-y1 = m(x - x1)
y1 is the y point you are given
x1 is the x point you are given
m is your slope
substitute all of those in from the question
the first one is:
y --4 = -5/6(x-8)
-- turns into a plus so the answer would be
y+4 = -5/6(x-8)
Step-by-step explanation:
Put the interior angle equal to 180.
It would look something like this:
x+45=180
-45 -45
180-45= 135 so the exterior angle would be 135!
Answer:
5
Explanation:
Let the number equal x. Half the number is then
x
2
and the reciprocal of that is
2
x
The reciprocal of the number is
1
x
and half that is
1
2
x
then
2
x
+
1
2
x
=
1
2
4
x
+
x
2
x
2
=
1
2
10
x
=
2
x
2
2
x
2
−
10
x
=
0
2
x
(
x
−
5
)
=
0
Zero is not viable solution as its reciprocal is infinity. The answer is therefore
x
=
5
Answer:
1015 widgets
Step-by-step explanation:
First investigate how many widgets can machine A produce in 1 hour:
If it produces 435 in 3 hours, then it will produce one third of that in one hour:
In ONE (1) hour 
widgets
Therefore in seven (7) hours it will produce seven times the amount it does in one hour, that is:
widgets
Answer:
<h3>11.8 feet</h3>
Step-by-step explanation:
Given
Length of the ladder = 12foot
angle of elevation = 80 degrees
Required
Height of the wall (opposite side)
The set up will form a right angled triangle where
length of the ladder is the hypotenuse
height of the wall is opposite;
Using SOH, CAH, TOA trig identity
According to SOH
sin 80 = opp/hyp
sin80 = opp/12
opp = 12sin80
opp = 11.82 feet
Hence the height of the wall is 11.8feet (to the nearest tenth)
