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Ira Lisetskai [31]
3 years ago
12

Write the expression in standard form. (8f - 4 + 1g) - (-29 + 7)

Mathematics
1 answer:
Tanya [424]3 years ago
3 0
Standard form: 8f + g + 18
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Three times a number increased by 20, is 14 less than the product of five and the 1095
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Simplify <br> 3x+6y+5y-2y<br><br> please explain i need help :(
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3x+6y+5y-2y

Combine like terms

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What is the y-intercept of y= 7?​
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Which equation represents a circle centered at (3,5) and passing though the point (-2,9)
Maru [420]

The equation represents a circle centered at (3,5) and passing through the point (-2,9) will be,\rm x^2+y^2 -6x-10y-7=0

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given data;

The Centre of the circle is,(h,k)=(3,5)

The circle traverses (-2,9). Consequently, the radius of the circle r is equal to the separation between (3, 4) and (-2,1).

So radius;

r = \sqrt{{{(x_2-x_1)^2 + (y_2-y_1)^2}}

r = \sqrt{{(9-5)^2+(3+2)^2 }

r=\sqrt {41} \\\\ r =6.1 \ units

Now equation of the circle with center (h,k) and radius r is

\rm (x-h)^2 + (y-k)^2 = r^2\\\\ (x-3)^2 + (y-5)^2 = (\sqrt{41})^2\\\\ x^2 - 6x + 9 + y^2 - 10y + 25 = 41

x^2+y^2 -6x-10y-7=0

Hence equation represents a circle that will be,x^2+y^2 -6x-10y-7=0

To learn more about the circle, refer to the link: brainly.com/question/11833983.

#SPJ1

7 0
2 years ago
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