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victus00 [196]
3 years ago
5

(03.09)

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0
Point 1, f(x) -4 (x-3) 2+1
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There are only chickens and pigs in Henry's Barn Henry counted a total of Sixteen animal heads and a total of 50 animal feet.How
raketka [301]

Answer:

9 pigs

Step-by-step explanation:

We have the following numbers of heads:

pigs (p) + chickens (c) = 16 animal heads (1)

And the following numbers of feet:

4p + 2c = 50 animal feet   (2)

From equation (1):

p = 16 - c (3)

By entering equation (3) into (2) we have:

4(16 - c) + 2c = 50

64 - 4c + 2c = 50

c = 7

Now, entering the value of c into equation (3) we have the next value of p:

p = 16 - c

p = 16 - 7

p = 9

Therefore, the number of pigs that Henry has is 9.

I hope it helps you!  

4 0
3 years ago
A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle
LiRa [457]

The area and the width are known as 60 and 12 respectively. Rearranging that equation above, and plugging the values, one gets the value of the length of the rectangle as 5.

3 0
3 years ago
Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the ima
Hitman42 [59]

Answer:

Step-by-step explanation:

7 0
3 years ago
Find the general solution of the given differential equation. cos^2(x)sin(x)dy/dx+(cos^3(x))y=1 g
eimsori [14]

If the given differential equation is

\cos^2(x) \sin(x) \dfrac{dy}{dx} + \cos^3(x) y = 1

then multiply both sides by \frac1{\cos^2(x)} :

\sin(x) \dfrac{dy}{dx} + \cos(x) y = \sec^2(x)

The left side is the derivative of a product,

\dfrac{d}{dx}\left[\sin(x)y\right] = \sec^2(x)

Integrate both sides with respect to x, recalling that \frac{d}{dx}\tan(x) = \sec^2(x) :

\displaystyle \int \frac{d}{dx}\left[\sin(x)y\right] \, dx = \int \sec^2(x) \, dx

\sin(x) y = \tan(x) + C

Solve for y :

\boxed{y = \sec(x) + C \csc(x)}which follows from [tex]\tan(x)=\frac{\sin(x)}{\cos(x)}.

7 0
2 years ago
Find the equation of the line using the exact numbers
Anit [1.1K]

Answer:

y = -0.25x - 6

Step-by-step explanation:

You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:

(0,-6);(4,-7)

The general equation for a line:

y = m*x + n

The two points on the graph form a system of two equations:

1. -6 = m*0 + n

2. -7 = m*4 + n

You can read off n right away fro equation 1:

n = -6

Plugging n into equation 2:

-7 = m*4 - 6 => -1 = m*4 => m = -1/4

3 0
3 years ago
Read 2 more answers
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