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dlinn [17]
3 years ago
11

If I'm wrong plz correct me so I can review

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

check the picture below.

so the area of the rectangle is x*y.

the area of the triangle is (1/2)(w)(z).

if we subtract the area of the triangle, from the containing rectangle, we're in effect making a whole in the rectangle, as you see there in lower-right corner.

\bf \stackrel{rectangle}{x\cdot y}~~-~~\stackrel{triangle}{\cfrac{1}{2}wz}

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Write a possible equation for each graph. Help me please​
djyliett [7]

Answer:

a. y = -x² + 2x - 8

b. y = \frac{1}{x-2}

c. y = x³+ 3

Step-by-step explanation:

3 0
3 years ago
(X^3+3x^2-x+8)/(x-1)
ki77a [65]
Here is all of the work:

8 0
4 years ago
A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t
solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by  

V = V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x

First, we differentiate V(x) with respect to x, to get,

\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450

Equating the first derivative to zero, we get,

\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0

Solving, with the help of quadratic formula, we get,

x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2},

Again differentiation V(x), with respect to x, we get,

\frac{d^2(V(x))}{dx^2} = 24x - 180

At x =

\displaystyle\frac{5(3-\sqrt{3})}{2},

\frac{d^2(V(x))}{dx^2} < 0

Thus, by double derivative test, the maxima occurs at

x = \displaystyle\frac{5(3-\sqrt{3})}{2} for V(x).

Thus, largest volume the box can have occurs when x = \displaystyle\frac{5(3-\sqrt{3})}{2}}.

Maximum volume =

V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}

8 0
3 years ago
GEOMETRY HELP WILL MARK BRAINLIEST
ASHA 777 [7]

Answer: x=12.49

10^2 + x^2= 16^2

100 + x^2= 256

x^2=156

x=12.49

3 0
3 years ago
Read 2 more answers
Please help !!<br> the answer isn’t <br> 1:9.75 x 10^7 like <br> i thought !
postnew [5]

The required scale model will be 1:6.24  10^9

<h3>Finding scale factors</h3>

A  scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure.

Given the following parameters

Distance of sun to Jupiter = 7.8 * 10^8 km

If the distance of sun to Jupiter is 8m on his scale, hence the value of n is calculated as;

n = 8 * 7.8 *10^8

n = 62.4 * 1068

n = 6.24  10^9

Hence the required scale model will be 1:6.24  10^9

Learn more on scale model here: brainly.com/question/24105256

#SPJ1

8 0
1 year ago
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