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3 years ago

What equation represents a circle with a center at (-3, -5) and a radius of 6 units

Mathematics

1 answer:

kupik [55]3 years ago

3 0

Answer:

(x+3)^2 + (y +5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle with the formula

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x- -3)^2 + (y - -5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 36

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Simplify by combining like terms:

Romashka [77]

9514 1404 393

Answer:

-77k²m³

Step-by-step explanation:

The variable arrangement is the same for each term, so we simply combine their coefficients:

k²m³ +22k²m³ -100k²m³ = (1 +22 -100)k²m³ = -77k²m³

5 0

4 years ago

PLLLLLSSSS Heeeellppp ill mark brainliest I promisseeeeeeee plsssss

WARRIOR [948]

Answer:

$2\,(x-1)^2=4$

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

$y=ax^2+bx+c$

is at $x_{vertex}=\frac{-b}{2\,a}$

For our case, where $a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2$ we have:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1$

And when x = 1, the value of "y" is:

$y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4$

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates $(x_{vertex},y_{vertex)$ of the vertex as follows:

$y-y_{vertex}=a\,(x-x_{vertex})^2$

Then, for our case:

$y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4$

Then, for the quadratic equal to zero as requested in the problem, we have:

$y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4$

5 0

3 years ago

Using the given points, determine the slope. (0, 32) and (100, 212)

Colt1911 [192]

Slope=m=y/x=rise/run=(y1-y2)/(x1-x2)
Labeling the question; 0=x1, 32=y1, 100=x2, 212=y2
so just go ahead and fill the numbers in;
(32-212)/(0-100)=(-180/-100)=1.8
so therefore, the slope is at 1.8

3 0

3 years ago

Read 2 more answers

Which one of the following expressions will find the sum of interior angles of a polygon with 14 sides?

cupoosta [38]

To find the total measure of the angles in a polygon, the formula is 180(n-2) n being the number of sides in the polygon.

So the correct answer is B) 180(14-2)

6 0

3 years ago

Two airplanes, which start 3{,}3003,3003, comma, 300 miles apart, fly toward each other. The two planes fly at a constant speed,

castortr0y [4]

Answer:

distance=rate*time

2520=(r)(3)+(r+90)(3) (they both travel for 3 hours)

2520=3r+3r+270

2520-270=6r

2250=6r

r=2250/6

r=375 mph

r+90=375+90=465 mph

Step-by-step explanation:

4 0

3 years ago