Answer:

Step-by-step explanation:
-3.5 means -(3 +
)
In other words, -3.5 = 
When we draw two numbers
and
on a number line,
comes first from left to right.
We know that all the numbers on a number line from left to right are in increasing order.
Therefore,
is smaller than
.

Lauren is not correct.
Answer:
Step-by-step explanation:
In this question we have to find the expression for the value of temperature in terms of degrees Celsius.
Since, the given expression is,
F = 1.8C + 32
F - 32 = 1.8C + 32 - 32
F - 32 = 1.8C


For F = C,

C - 32 = 1.8C
C - 1.8C = 32
-0.8C = 32
C = 
C = -40
Therefore, at (-40°C) degrees of temperature degrees Fahrenheit and degrees Celsius are equal.
Answer:
3.51 (round to the nearest hundreds)
Step-by-step explanation:
PART A
slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5
equation of the line passing through B and perpendicular to AC:
y-3 = 1/5(x-3)
y-3 = 1/5x -3/5
y = 1/5 x - 3/5 + 3
y = 1/5 x + (-3+15)/5
y = 1/5 x + 12/5
PART B
line that passes through the points A and C
y-1 = -5(x-2)
y = -5x+10 + 1
y = -5x + 11
Interception of the lines
y = 1/5x + 12/5
y = -5x + 11
-5x + 11 = 1/5x + 12/5
-25x +55 = x + 12
26x = 43
x = 43/26
y = -5(43/26) + 11
y= -215/26 + 11
y = (-215+286)/26 = 71/26
D (1.65, 2.73)
PART C
AC =
= 5,09902
BD =
= 1,376735
PART D
AREA = (5,09902 * 1.376735)/2 = 3,509999