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scoundrel [369]
3 years ago
11

-z=80 solve with steps

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0
-z = 80

You cannot submit an equation with a negative letter ( -z ) so we have to cancel the negative.

To cancel negatives in the equation, we multiply both sides by -1.

-z * -1 = 80 * -1

z = -80

Answer: z = -80
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A bag has 8 bagels. three of the bagels are cranberry. what percent of the bagels are cranberry
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A square is inscribed in a right triangle so that they have a common right angle. The legs of the triangle are 6 in and 8 in lon
IceJOKER [234]

Answer: Approximately 3.42857142857142 inches

Round this value however you need to. For instance, if you need to round to 2 decimal places, then the answer would be 3.43 inches.

====================================================

How I got this answer:

A square has side lengths that are the same value and it has four right angles. For example, a square could have all four sides equal to 7 inches. We want this square to fit snugly inside a right triangle. Put another way, we want this square as big as possible without it overflowing outside the triangle.

If one vertex of the square is at (0,0) then the opposite vertex will be on the line y = x meaning this opposite vertex's location is (x,x). The x refers to the side length of the square. Replace x with any number. Going back to the previous example, if x = 7 then the square has two opposite vertices at (0,0) and (x,x) = (7,7), so this square has side length of 7. We will use the equation y = x later on (see figure 2 in the attached images below). I marked (0,0) as point A and (x,x) as point D in figure 3.

We will also use the equation of the line that goes through the two points B(0,6) and C(8,0) as shown in figure 3. The line that goes through points B and C is the line that forms the hypotenuse of the right triangle. If we can find the equation of this line, then we can use algebra to find the intersection point D (see figure 3)

It turns out that the equation of the line through B and C is y = (-3/4)x + 6. Check out figure 1 in the attached images below to see how I got that.

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8 0
3 years ago
A architect wants to create a rectangular room in a house. She wants it to have a total area of 255 square feet, and it should b
Alex787 [66]

Answer:

The answer to your question is length = 21.73 and width = 11.73

Step-by-step explanation:

Data

Total area = 255 ft²

length = x + 10

width = x

Formula

Area of a rectangle = length x width

Substitution

          255 = (x + 10)(x)

Expand

           255 = x² + 10x

Equal to zero

           x² + 10x - 255 = 0

Solve with the quadratic formula

x = \frac{-10 +- \sqrt{10^{2} -4(1)(-255)}}{2(1)}

x = \frac{-10 +-\sqrt{100 + 1020}}{2}

x = \frac{-10 +- \sqrt{1120}}{2}

x = \frac{-10 +- 33.47}{2}

x₁ = 11.73                x₂ = -21.73

There are no negative dimensions so the answer is 11.73.

Length = 11.73 + 10 = 21.73 ft

6 0
3 years ago
Trampoline Park has an admission fee, plus an hourly fee of $4.50. Determine the admission fee that the trampoline park charges.
mafiozo [28]

It's 4.50 dollars per hour which means that the initial range is $5.00.

4 0
3 years ago
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