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2 years ago

John and David graphed a circle with center (-3,1)

Mathematics

1 answer:

mihalych1998 [28]2 years ago

8 0

Neither of them are fully correct because the equation of a circle is:

$(x - h) ^{2} + (y - k) ^{2} = r ^{2}$

h = x value of center coordinate

k = y value of center coordinate

r = radius

Therefore, the correct equation of the circle is:

$(x + 3) ^{2} + (y - 1) ^{2} = 49$

David had the correct values in each of the parentheses while John had the correct value on the right side of the equation.

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Write the ratio in simplest form in both fractions and in decimal form.

ValentinkaMS [17]

Answer:

Step-by-step explanation:

3 : 12

Both have table of 3 in common so

1 : 4 or 1/4

4 : 64

Both have table of 4 in common

1 : 16 or 1/16

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3 years ago

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I need help with my algebra 2. I also want to know how to solve this.

Lisa [10]

Add 1 to both sides:

$\sqrt{x+3} = x+1$

In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

$x+1 \geq 0 \iff x \geq -1$

Under this assumption, we square both sides and we have

$x+3 = (x+1)^2 \iff x+3 = x^2+2x+1 \iff x^2+x-2 = 0$

The solutions to this equation are

$x = -2,\ x=1$

But since we can only accept solutions greater than -1, we discard $x=-2$ and accept $x=1$ .

In fact, we have

$x=-2 \implies \sqrt{-2+3}-1=0\neq -2$

and

$x=1 \implies \sqrt{4}-1=1$

which is the only solution.

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3 years ago

Round 3.44570830811 to the nearest hundred-thousandth,

Alika [10]

Answer:

3.44571

Step-by-step explanation:

look at the number to the right of the decimal. if the number is higher than or is 5 round the number up, but if the number is less than 5 it will stay the same.

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3 years ago

Solve for y -5y+8=-3y+10 what is the answer

masha68 [24]

-5y + 8 = -3y + 10
We need to get y on one side.
Add 3y to both sides.
-2y + 8 = 10
We need to get 2y by itself.
Subtract 8 from both sides.
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Divide both sides by -2 to solve for y.
y = -1

I hope this helps!

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3 years ago

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user100 [1]

Answer:

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