There are many different ways of representing the equation of a line. With the given information, the best form of the equation to use is point-slope form which can be written as

where

is the x and y coordinates of a given point on the line and

is the slope of the line. Since you are given that the slope of the line is 3 and has the point (-1,-8), the equation should look like

, which is letter choice D.
-2x3 (5+3-83x3) then just put that in a calculator or do it in your head
A) The larger and small triangles are similar, so
8/10 = x/15
x = (8*15)/10 = 12
b)find the altitude x
tan 40 = x / 5
x = 5 tan 40 = 4.195
By Pythagoras theorem:-
y = sqrt ( 4.195^2 + 11^2)
y = 11.8 to 3 significant figures
V = 180 cm3
l = 10 cm
w = 4 cm
h = ?
V=lwh, so to get h, divide equation by lw, to get h=V/(lw).
h = 180/(10*4) = 4.5 cm
Answer:
B. 
Step-by-step explanation:
We are told that the smallest object visible with our eyes is similar to the width of a piece of hair, which is
meters wide.
Using an optical microscope, we can see items up to
meters wide.
To find the objects we can see with our eyes are how much larger than the objects we can see with an optical microscope, we can set an equation as:

Using the exponent rule of quotient
we will get,





Therefore, the objects we can see with our eyes are
times larger than the objects we can see with an optical microscope and option B is the correct choice.