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2 years ago

Sequence of transformation that take the graph y=x^2 to y=-2(x-5)^2+4

Mathematics

1 answer:

Lisa [10]2 years ago

3 0

Answer:

(x-5) so translated 5 units to the right

Multiplied with 2, p vertically compressed

+4 means translated 4 units up

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5. An investment doubles in value every 9 years. What was the starting value of the investment if

arlik [135]

Answer:

16,00

Step-by-step explanation:

9 years is the (time)

divide the 27 years by 9 to see how many times it doubles

the ans is 3

now simply divide the value which is $4,800 by the 3

this gives you 1,600

7 0

3 years ago

Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR

ale4655 [162]

It is a scalene triangle.

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3 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

$A = \frac{18}{\sqrt{3}} * 36$

$A = \frac{640}{\sqrt{3}}$

Turning into a decimal:

$A = 374.123 ft ^2$

8 0

3 years ago

Find all solutions of the equation. (enter your answers as a comma-separated list.) x2 + 5x + 9 = 0

erik [133]

X,=-(5±✓25-36) ,/ 2

x={-5±✓-11)/2

x= -5/2 ± i✓11/2

4 0

3 years ago

What does -5x - 16 = 9x + x - 1

ahrayia [7]

Answer:

x=-1

Step-by-step explanation:

hope this helps

8 0

3 years ago

Read 2 more answers