A batch of cookies calls for 34 cup of flour. You want to make 12 of a batch.

Mathematics

1 answer:

Readme [11.4K]4 years ago

3 0

Hey there

the answer is

(1/2)(3/4) = (3/8) of a cup

thank you

OFFICIALLYSAVAGE2003

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Solve for w. -18w^2+5=-43w^2 write your answer in simplified, rationalized form

MrMuchimi

Start by isolating the variable on one side by adding 43w^2 to both sides. The equation will read:

25w^2+5=0

*Subtract 5 from both sides*

25w^2=-5

*Divide both sides by 25*

w^2=-1/5

*Take the square root of both sides*

w=√(-1/5)

The square root of -1 is i. The square root of 5 remains √5

The answer is i/√5.

Hope this helps!!

3 0

3 years ago

3. The standard equation of a circle (not centered at the origin) with radius r can be derived from its locus definition: The se

Darya [45]

Answer:

The equation for circle of radius $r$ centered at the point $C: (h,k)$ is:

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

Step-by-step explanation:

To derive this equation, we need the formula for the distance between two points in the plane. If the point is given by its cartesian coordinates, we can use the Pythagorean theorem to find what the distance between the points is.

Lets say we have two points, one given by cartesian coordinates P:(x,y) and the other given by cartesian coordiantes C:(h,k)

(see diagram)

We can see that

$\Delta x = x-h\\\Delta y = y-k$

and by the pythagorean theorem we have:

$\Delta s ^2 = \Delta x^2 + \Delta y^2$

Where $\Delta s$ is the distance between the points

Now, combining the last three equations we find:

$\Delta s ^2 = (x-h)^2 + (y-k)^2$

We know that the definition of a circle is the locus of points that are at a distance r from a point called the center of the circle. if we take C:(h,k) as the center of the circle, and $\Delta s =r$ , the last equation becomes: