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Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is

Answers

Answer 1
Answer:

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 2
Answer:

Answer:

-x-6=y

Step-by-step explanation:

Perpendicular slope is -1

-1(-4)+b=-2

B=-6


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1. a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number. b.)Eight times the sum of the digits of a certain two-digit number exceeds this number by 19. The tens digit is two less than the units digit. Find the number. c.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number. ALL DUE IN 7 MIN! HELP NOW OR NEVER
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Which image shows the triangle's incenter? Appreciate the help!
The product of w and 373

Whats the correct option?

Answers

-2 looks to be it as I can see I just would have to work it out


Graph the inequalityz < 6
over the restricted domain
z =w
(the set of whole numbers).

Answers

whole numbers is positive counting numbers including zero
0,1,2,3,4,5,6,7,8, etc

z<6
0,1,2,3,4,5 are the solution set
so just have those numbers

The simple interest earned by an account varies jointly as the time and the principal. In 2 years, a principal of $5000 earns $650 interest. How much would $1000 earn in 1 year?

Answers

Final answer:

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.

Explanation:

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.

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Nets that will form into a cube

Answers

There are exactly eleven nets that will form a cube.

A beach has to enclose a rectangular area, because some endangered species are nesting there. They have 200 feet of rope to rope off the area with. What is the maximum area that they can rope off?

Answers

Area is equal to length times width. The perimeter (the amount of rope) has to equal twice the length added to twice the width so we're left with:
A = l * w
200 = 2l + 2w
solve for either l or w
l = 100 - w
plug into the area equation to get one equation with two variables
A = w(100 - w)
A = -w^2 + 100w
take the derivative
A' = -2w + 100
set the derivative equal to zero
0 = -2w + 100
2w = 100
w = 50
This is the width that maximizes the area
with a width of 50, the length must also be 50 to have a perimeter of 200
therefore, they can rope up to 50 * 50 = 2500 ft^2

Final answer:

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.

Explanation:

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.

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Write the equivalent fraction of 3 /5 having denominator 35

Answers

Answer:

(21)/(35)

Step-by-step explanation:

to obtain the equivalent fraction to (3)/(5) with a denominator of 35

note that 5 × 7 = 35

then multiplying the numerator and denominator by 7 will give the required fraction.

(3)/(5) = (3(7))/(5(7)) = (21)/(35)

Final answer:

To find the equivalent fraction of 3/5 with a denominator of 35. result is 21/35.

Explanation:

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.

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