A.

Mathematics

1 answer:

MAXImum [283]4 years ago

6 0

Answer:

Step-by-step explanation:

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What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?

MAXImum [283]

Hello :
x²+2x+y²+6y-39=0
(x²+2x+1)-1 +(y² +6y+9)-9 -39 =0
(x+1)² + (y+3)² = 49 = 7²
the radius is : 7

7 0

3 years ago

21 22 23 24 25 Which equation represents an exponential function with an initial value of 500? Of(x) = 1

Dafna11 [192]

Answer:

Of(x) =100(5) I think cause its gonna equal 500

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3 years ago

The perimeter of a rectangle is 56 inches. The ratio of the length to the width is 6:1. Find the length and width.

MA_775_DIABLO [31]

Lets use width=w and length=l
we know that 2w+2l = 56, and that 6l=1w
since the second equation is already solved for w, we can plug that into the first equation, giving 2(6l)+2l=56.
solving for l will give us 12l+2l=56 => 14l=56 => l=56/14=4
with l=4, we can find the width using the second equation.
6(4)=w
w=24
Final answer:
The length is 4 inches and the width is 24 inches.
Hope I helped :)

8 0

4 years ago

Find the value of x. Round your answer to the nearest tenth.

natka813 [3]

That's a question about the Pythagorean Theorem.

We use the Pythagorean Theorem to find the value of one side in a right triangle.

This theorem says that:

$\boxed{a^2 = b^2 + c^2}$

a is the hypotenuse (It's the opposite side the right angle).
b and c are cathetus (They're the adjacent sides the right angle).

Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of x (the hypotenuse). Let's change this information in that formula.

$a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}$

Therefore, the value of x is $\sqrt{149}$ .

I hope I've helped. :D

Enjoy your studies! \o/

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3 years ago

If a line with a slope of -2 crosses the y-axis at (0,3), what is the equation of the line ?

MakcuM [25]

Y = -2x + 3

Slope is -2......and when x = 0 thats the y intercept.

7 0

3 years ago