Answer:
y = -4x-21
Step-by-step explanation:
Hi there!
We want to write an equation of the line that passes through (-4, -5) and is parallel to y=-4x-1.
Parallel lines have the same slopes. So let's find the slope of y=-4x-1.
The line is written in the form y=mx+b, where m is the slope and b is the y intercept.
As -4 is in the place of where m should be, -4 is the slope of y=-4x-1.
It's also the slope of the line parallel to that line.
Right now, what we know about the line parallel to y=-4x-1 is that the slope of it is 4 and it passes through the point (-4, -5).
We can substitute those values into the formula for point-slope form, which is 
, where m is the slope and 
is a point.
We can label the values of everything to help us avoid confusion.
m=-4
Now substitute those values into the formula. Note: the formula contains SUBTRACTION, and we have NEGATIVE numbers. Hence,
Now simplify.
On the right side, do the distributive property.
y+5=-4x-16
Subtract 5 from both sides.
<u>y=-4x-21</u>
Hope this helps!
.27 repeating is 3/11
The standard notation for a repeating decimal is to put a bar over the repeating digits, that is, <span>0.27272727...=0.27 repeating
</span>
Answer:
3/4
Step-by-step explanation:
The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.
From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:
Simplify:
Reduce:
Therefore, the mean of the data set is 3/4.
For the data set, this means that the average person guesses the temperature too high by about 3/4°F.
(Note: the symbol of x with a bar over it denotes the mean of a set)
Volume of the prism = 75 cubic feet
Solution:
The image given is a rectangular prism (or) a cuboid.
Area of base = l × b = 25 square feet
Height of the prism = 3 feet
Volume of the prism = l × b × h
= (l × b) × h
= 25 × 3
= 75 cubic feet
Volume of the prism = 75 cubic feet
Hence, the volume of the prism is 75 cubic feet.
