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Dovator [93]
3 years ago
7

Slope Of (5,-5) and (-1,-5)

Mathematics
1 answer:
Alex777 [14]3 years ago
4 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{5}}}\implies \cfrac{-5+5}{-6}\implies \cfrac{0}{-6}\implies 0

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determine the equation of the circle if its center is (8,-6) and which passes through the points (5,-2).
ser-zykov [4K]

Answer:

(x - 8)² + (y + 6)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, - 6 ) , then

(x - 8)² + (y - (- 6))² = r² , that is

(x - 8)² + (y + 6)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (8, - 6 ) and (x₂, y₂ ) = (5, - 2 )

r = \sqrt{(5-8)^2+(-2-(-6))^2}

  = \sqrt{(-3)^2+(-2+6)^2}

  = \sqrt{9+4^2}

  = \sqrt{9+16}

   = \sqrt{25}

   = 5

Then equation of circle is

(x - 8)² + (y + 6)² = 5² , that is

(x - 8)² + (y + 6)² = 25

6 0
2 years ago
Which of the following is the contrapositive of the conditional below?
masha68 [24]

Answer:

If 3 + 4 ≠ 6, then 2 · 5 = 10.

Step-by-step explanation:

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain." If p , then q .

8 0
2 years ago
Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirt
IgorLugansk [536]

Answer:

816 T-shirts

Step-by-step explanation:

16 boxes * 17 shirts = 272 shirts total in 16 boxes

272 shirts * 3 orders = 816 shirts

6 0
3 years ago
Help me out please an thank you
daser333 [38]

Answer:

A.) Yes; SAS

Step-by-step explanation:

8 0
3 years ago
When you have coordinates of two points A(1, 2) and B(2,6) slope is:
bearhunter [10]

Answer: 4

Step-by-step explanation:

4 0
2 years ago
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