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schepotkina [342]
2 years ago
10

Help?? LOL I’m literally so confused

Mathematics
2 answers:
Gennadij [26K]2 years ago
8 0

Answer:

1

Step-by-step explanation:

8-7=1

maw [93]2 years ago
7 0

Answer: 2

Step-by-st\ep explanation:

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X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square
swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = -\frac{4}{5}x+\frac{58}{5}

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

          = \frac{10-5}{2+2}

          = \frac{5}{4}

    Let the slope of the tangent which is perpendicular to this line is 'm_{2}'

    Then by the property of perpendicular lines,

          m_{1}\times m_{2}=-1

          \frac{5}{4}\times m_{2}=-1

                 m_{2}=-\frac{4}{5}

   Now the equation of the line passing though (2, 10) having slope m_{2}=-\frac{4}{5}

           y - y' = m_{2}(x-x')

           y - 10 = -\frac{4}{5}(x-2)

           y - 10 = -\frac{4}{5}x+\frac{8}{5}

                  y = -\frac{4}{5}x+\frac{8}{5}+10

                  y = -\frac{4}{5}x+\frac{58}{5}

Therefore, equation of the line will be, y = -\frac{4}{5}x+\frac{58}{5}

7 0
3 years ago
Which expressions are equal to 105?
Amanda [17]

Answer:

2•2²×100+5.

Step-by-step explanation:

5 0
2 years ago
PLEASE HELP THE QUESTION IS BELOW!!
ludmilkaskok [199]

Answer:

\boxed{35\°}

Step-by-step explanation:

Angle 1 is 55 degrees.

The whole angle of the upward left corner is 90 degrees.

90-55=35

Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.

Angle 2 is 35 degrees.

3 0
3 years ago
Eight times a number increased by 6 is 62
N76 [4]
8x+6=62

8x=62-6

8x=56

X=56/8

X=7

The answer is 7. Hope this helps!
3 0
3 years ago
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A circular pan has a diameter of 8 inches. What is the exact area of the pan?
NISA [10]
You would divide the diameter in half to get the radius which is 4. And do the formula which is a=pie(r) squared. So the answer would be 50.24
8 0
3 years ago
Read 2 more answers
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