ANSWER
96 yd
EXPLANATION
Let the width of the rectangle be w, then, the length of the rectangle will be:
The area of a rectangle is calculated using the formula:
It was given that, the area of the rectangle is 320yd²
Divide both sides by 5.
Take square root of both sides to get:
This means the length is
The perimeter of a rectangle is given by:
P=2(w+l)
We plug in the values to get:
The perimeter is 96yd
Answer:
C and D
atleast 20 characters to explain it well
Answer: B
<u>Step-by-step explanation:</u>
₁₂C₇ is read as "12 choose 7" which means you are choosing 7 out of 12. Since it is a combination and not a permutation, order does not matter.
The solution set is
, meaning that all
at least
satisfy this constraint.
If
, we have
and
, meaning
has to be both greater than and less than
, which is impossible. If
is any greater,
, so
still must be greater and less than
at the same time. So for all
, the system
has no solution.
Answer:
y = -4
Step-by-step explanation:
We can find the equation of a line that goes through two given points on the plane by finding 1) the slope of the segment that joints the two points, and using the coordinates of one of the given points, and use this information in the "point-slope" form of the line.
To find the slope of the segment that joins the two points, we use the general equation for the slope given two coordinate pair points as:
In our case, using the given (-3,-4) as , and (1,-4) as , we get the following slope:
Therefore, the slope is zero (this means we are dealing with a horizontal line.
Now we complete the work by using the point-slope form of a line which is:
Using one of the given points (let's say (1,-4) as , and the slope (0) that we just obtained, we get the following equation for the line in question:
So y = -4 is the expression for the line