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WINSTONCH [101]
2 years ago
7

Whether the dilation is an enlargement or a reduction?

Mathematics
1 answer:
melomori [17]2 years ago
7 0
The equation is a reduction

it’s scale factor is 1/ 2

an algebraic representation for the dilation is written as (x, y) -> (kx, ky), with k being the variable for the scale factor

(2, 6) -> (1/ 2 • 2, 1/ 2 • 6)
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The sixth grade has collected $116 for a local animal shelter. Thief goal is to collect $500. They have three weeks left how muc
leva [86]
500 - 116 = 384 left to collect

384 divided into 3 weeks = 128

They must collect $128 per week in order to reach their goal of $500.
8 0
3 years ago
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Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
3 years ago
Complete the statement for the equation y =-1/2x-1/2
RUDIKE [14]

Answer:

i will answer but what do you trying to find ?

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Csf%20x-12%3D14" id="TexFormula1" title="\sf x-12=14" alt="\sf x-12=14" align="absmiddle" cl
suter [353]
Answer:

X - 12 = 14
+12. +12

X = 26
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72 is 75 percent of what number
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Its ans will become 96
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