Answer:
-2-10
Step-by-step explanation:
Complete the equation of the line through (-6,-5)(−6,−5)(, minus, 6, comma, minus, 5, )and (-4,-4)(−4,−4)(, minus, 4, comma, min
alina1380 [7]
Answer:

Step-by-step explanation:
We have been given two points on a line
and
. We are asked to write an equation passing through these points.
We will write our equation in slope-intercept form of equation
, where,
m = Slope of line,
b = Initial value or the y-intercept.
Let us find slope of given line using slope formula.

Let point
and point
.



Now, we will substitute
and coordinates of point
in slope-intercept form of equation as:




Upon substituting
and
in slope-intercept form of equation, we will get our required equation as:

Therefore, our required equation would be
.
Answer:
7 1/2 square meters
Step-by-step explanation:
The area of a rectangle is the product of its length and width.
A = LW
A = (9 m)(5/6 m) = 45/6 m² = 7 1/2 m²
The area of Dina's new rug is 7 1/2 square meters.
Answer:
The three-dimensional surface represented by the equation x+y=2 is an inclined plane, as seen in the image.
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes