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valina [46]
3 years ago
10

(r-1)^2 this is to the power of two

Mathematics
2 answers:
Levart [38]3 years ago
7 0
(r-1)^2= (r-1)(r-1)

Foil:

First: r*r=r^2
Outer: r*-1= -r
Inner: r*-1= -r
Last: -1*-1= 1

Put it together and simplify:
r^2-r-r+1
r^2-2r+1

Final answer: r^2-2r+1
mars1129 [50]3 years ago
6 0
<span>Use formula: (a-b)</span>² = a² - 2ab + b²<span>

(r-1)</span>² = r² - 2r + 1
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Find the coordinates of the circumcenter for triangle DEF with coordinates D(1,3) E(8,3) and F(1,-5) show your work
nikklg [1K]

One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.

Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).

6 0
3 years ago
Jefferson Middle School needs to see a 300% gain in PTO fundraiser
Ronch [10]

Given parameters:

Percentage gain = 300%

Selling cost last year = $2420

Unknown:

Selling cost this year  = ?

Solution:

To solve this problem;

     Profit percent  = \frac{Selling cost this year - Selling cost last year}{Selling cost last year} x 100

      300 = \frac{S - 2420}{2420}  x 100

      3 = \frac{S - 2420}{2420}

         S- 2420 = 7260

          S = $9680

To make a 300% gain, Jefferson Middle school needs a $9680 from fundraiser sales this year.

6 0
3 years ago
Which function has a different range than the function f(x)=bx?
kodGreya [7K]
The answer is D but i could be wrong
3 0
3 years ago
Tickets to the zoo cost $14 for adults and $10 for children. A group of 12 people went to the zoo, and the tickets cost $140. Th
hjlf
 x is the number of adults and y is the number of children.
   x + y = 12
<span>14x + 10y = 140
lets multiply the first equation by -10 and then add it to the second equation:
-10x - 10y = -120
</span>14x + 10y = <span>140
</span>-----------------------
4x + 0 = 20
x = 20/4
x = 5
then substitute in the original equation:
x + y = <span>12
</span>5 + y = <span>12
</span>y = 12 - 5
y = 7
therefore there were 5 adults and 7 children
8 0
3 years ago
A square has side length of 8 in. If the area is multiplied by 36, what happens to the side length? HELP PLEASE!!
GaryK [48]

Answer:

The side length is multiplied by 6.

Step-by-step explanation:

The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.

If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.

√2304 = 48

The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.

6 0
3 years ago
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