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3 years ago

Find the center and radius of the circle with the equation : (x+5)^2 + (y-2)^2 =25

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Answer:

Center (-5, 2) and radius 5

Step-by-step explanation:

The equation for a circle is $(x-h)^{2} +(y-k)^{2} =r^{2}$

Where (h, k) is the center and r is the radius.

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

Can someone help me solve this problem by factoring.<br> x^2 + 8x + 16 = 0

Pavlova-9 [17]

Factorization: (x + 4)∧2=0

Solutions based on Factorization: x + 4 = 0 ⇒ X∨1 = X∨2 = -4

8 0

3 years ago

Read 2 more answers

Please answer will mark branliest

Flauer [41]

Step-by-step explanation:

5 tank tops= $20

5 t-shirts= $35

20/5= 4

35/5=7

7-4=3

The t-shirts are $3 more than the tank tops

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3 years ago

Use the Distributive Property to find the Product 4 and 2/5 × 10

arlik [135]

Distributive Property ( A number, n, is multiplied to the expression in parentheses)

$4( \frac{2}{5} \times 10) = \\ 4( \frac{20}{5} ) = \\ 4(4) = 16$

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3 years ago

36. Rafael asserts that two eighths > one fourths, since 2 >1 and 8 > 4. How should

Oksana_A [137]

Türkiye cumhuriyeti ccc

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3 years ago