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saul85 [17]
3 years ago
6

Please help 15 points!!!! i dont understand dilation

Mathematics
2 answers:
Serga [27]3 years ago
7 0
Contraction if the scale factor is  <1  (0.25,  0.8,  0.375)

<span>Expansion if the scale factor is >1     (1.5, 4, 1.75 )

0.25<1
0.8<1
0.375<1

1.5>1
4>1
1.75>1</span>
kaheart [24]3 years ago
5 0

Expansion: A dilation with a scale factor greater than 1

<span><span>Contraction:</span></span>

A dilation with a scale factor of less than 1 but greater than 0

So answer:

Expansion: 1.5, 4, 1.75

Contraction: 0.25, 0.8, 0.375


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4 0
4 years ago
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

A = x(-\frac{3}{4}.x + 3)

A = -\frac{3}{4}.x^{2}  + 3x

To maximize, we have to differentiate the equation:

\frac{dA}{dx} = \frac{d}{dx}(-\frac{3}{4}.x^{2}  + 3x)

\frac{dA}{dx} = -3x + 3

The critical point is:

\frac{dA}{dx} = 0

-3x + 3 = 0

x = 1

Substituing:

y = -\frac{3}{4}x + 3

y = -\frac{3}{4}.1 + 3

y = 9/4

So, the measurements are x = L = 1 and y = W = 9/4

The maximum area is:

A = 1 . 9/4

A = 9/4

A = 2.25

6 0
3 years ago
How much principle, to the nearest dollar, should you invest at 4 percent in order to have $3000 for a vacation to Europe in 3 y
KiRa [710]

Answer:

Principle should be $2,667

Step-by-step explanation:

We need $3000 for a vacation to Europe in 3 years.

Using amount formula,

A=P(1+r)^t

Where, P is principle (P=?)

A is amount (A=3000)

r is rate of interest (r=0.04)

t is time (t=3)

Substitute the values into formula and solve for P

3000=P(1+0.04)^3

3000=P(1.04)^3

P=\frac{3000}{1.04^3}

P=2666.98

P\approx \$2667

Hence, Principle should be $2,667

4 0
3 years ago
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