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ikadub [295]
2 years ago
11

Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to repre

sent Emily's number.
Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0

Answer:

1/4n-3

Step-by-step explanation:

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<span>angle measures in order from greatest to least.
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MA_775_DIABLO [31]
The slope intercept form is y=mx+b. m being the rate of the slope (rise over run) so in this case 2/1, or simply 2. b is the y intercept, or where a line passes through the y intercept, in this case it is -1.
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What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.
Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see  that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are  (5,-3).

Distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-3-5)^2+(-1+1)^2}=8 units

BC=\sqrt{(5+1)^2+(-3+3)^2}=6 units

AC=\sqrt{(5+1)^2+(-3-5)^2}=10 units

Pythagoras theorem:(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}

AB^2+BC^2=8^2+6^2=100

AC^2=(10)^2=100

Therefore, AC^2=AB^2+BC^2

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is  a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula:x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Using this formula then, we get

Mid-point of hypotenuse AC is given by

x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1

Hence, the circum-center of triangle is (2,1).

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2 years ago
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Therefore the cost of 1 game is $1

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