Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
-2 looks to be it as I can see I just would have to work it out
over the restricted domain
z =w
(the set of whole numbers).
To find the simple interest $1000 would earn in 1 year, we first calculate the interest rate from the provided example, which is 6.5%. Using this rate, the simple interest formula (Principal x Rate x Time) gives us an interest of $65.
The subject of this question regards the calculation of simple interest, a fundamental concept in Mathematics and Finance. First, we'll need to determine the interest rate used in the initial scenario where a $5000 deposit earns $650 interest in 2 years. In this case, using the simple interest formula which is Principal x Rate x Time(PRT), we have:
$650 = $5000 x Rate x 2 years
Solving for Rate, we get: Rate = $650 / ($5000 * 2) = 0.065, or 6.5%.
Now that we know the interest rate is 6.5%, we can calculate the interest $1000 would earn in 1 year. Again using the simple interest formula, we have: Interest = Principal x Rate x Time = $1000 * 6.5% * 1 year = $65.
#SPJ12
The maximum area that can be roped off with 200 feet of rope is 2500 square feet by making the roped off area a square.
The question deals with the optimization of area given a fixed perimeter, which involves the principles of geometry and algebra. Since the area needs to be roped off is a rectangle, and you have 200 feet of rope, your rectangle will have dimensions length (L) and width (W) such that 2L + 2W = 200.
To maximize the area of a rectangle given a fixed perimeter, the rectangle should be a square. So, for a maximum area, the length and width should be equal. Thus, each dimension (length and width) would be 200/4 = 50 feet.
Finally, to find the maximum area, we multiply the length by the width: 50 feet * 50 feet = 2500 square feet. So, the maximum area that they can rope off with 200 feet of rope is 2500 square feet.
#SPJ3
Answer:
Step-by-step explanation:
to obtain the equivalent fraction to with a denominator of 35
note that 5 × 7 = 35
then multiplying the numerator and denominator by 7 will give the required fraction.
= =
To find the equivalent fraction of 3/5 with a denominator of 35. result is 21/35.
To find the equivalent fraction of 3/5 with a denominator of 35, you need to multiply both the numerator and denominator by the same number so that the denominator becomes 35. In this case, you need to multiply both 3 and 5 by 7.
So, 3/5 is equivalent to (3 * 7) / (5 * 7) = 21/35.
#SPJ11