Answer:
y-1= -4(x-(-3))
y minus 1 = negative 4 left-bracket x minus (negative 3) right-bracket
Step-by-step explanation:
The formula for point slope form is written: 
. Now we fill in our know information. m=-4 (because that is the slope), 
=1 (It is the y value in the ordered pair), 
= -3 (It is the x value in the ordered pair).
y-1=-4(x- (-3))
The height of the ceiling is 162.31 meters
The situation will form a right angle triangle.
<h3>Right angle triangle:</h3>
Right triangle has one of its angles as 90 degree. Therefore, the sides can be found using trigonometric ratios
The triangle formed, the theodolite distance from the spotlight is the adjacent side. Therefore,
tan 62.7 = opposite / adjacent
tan 62.7 = x / 83
cross multiply
x = 83 × tan 62.7
x = 160.809554025 m
Therefore, the height of the ceiling form the ground is as follows:
- 160.809554025 + 1.5 = 162.309554025 m
learn more on right angle triangle here; brainly.com/question/13481976
Answer:
Step-by-step explanation:
The interior angles of a heptagon add up to 5*180 = 900
So
x + 143 + 116 + 135 + 135 + 116 + 155 = 900 Add up the known angles
x + 800 = 900 Subtract 800 from both sides
x + 800 - 800 = 900 - 800 Combine
x = 100
To answer let e be the amount of Dexter's earning. From the given conditions, it is implied that this value should be equal or more than $50. Further, this amount should also be less than or equal to $100. Mathematically, this can be expressed as,
50 ≤ e ≤ 100
The answer is letter D.
F you just want to see the really short way, just skip down to AAAAAAAAAAAA
so, here is the long explanation
exponential properties
don't forget pemdas
2x^2=2(x^2)
so
=
AAAAAAAAAAAAAAAAAAAAAAAA
so we see
the original equatio is
remember
so we can seperate the constants
we know that the placeholders cannot affet the position of the constants unless they are grouped together which they are not
terfor the answer must have 2/3 in it
the only one that hsa that is A
ANSWER IS A
