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3 years ago

According to these three facts, which statements are true?

1 answer:

3 0

We have that

1)Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)²+(y)²=8²

2)Circle V is a translation of circle W, 2 units down.
the center of circle V--------> (-3,0-2)---------> (-3,-2)

3)Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2------> 16 units
the equation of a circle V is
(x+3)²+(y+2)²=16²

therefore

case A. Circle V and circle W are similar.---------> is correct
because I can transform circle V to circle W using only translations, rotations and scaling (In the case of circles, no rotations are necessary).

case B. Circle V and circle W have the same center.-------> is not correct

case C. The radius of circle V is 16.-----------> is correct

case D. The center of circle V is (−5, 0).----------> is not correct

the answer is
 case A. Circle V and circle W are similar.---------> is correct
case C. The radius of circle V is 16.-----------> is correct

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3 years ago

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The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is

Ymorist [56]

Area of the middle rectangular section = length x width = 35 x 20 = 700 square cm.

The radius of the circular sections is 25 cm

Area of a full circle is pi x r^2 = 3.14 x 25^2 = 1962.5 square cm.

There are two quarter circles which is 1/2 of a circle. The area of those would be 1962.5/2 = 981.25 square cm.

Total area of the figure = 700 + 981.25 = 1681.25 square cm

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2 years ago

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0

raketka [301]

Answer:

$f(0)=-2\\f(1)=e-1$

Step-by-step explanation:

According to intermediate value theorem, if a function is continuous on an interval $[a,b]$ , and if $k$ is any number between $f(a)$ and $f(b)$ , then there exists a value, $x=m$ , where $a$ , such that $f(m)=k$

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

$f(x)=e^x-3+2x$

Put $x=0$

$f(0)=e^0-3+2(0)=1-3+0=-2$

Put $x=1$

$f(1)=e^1-3+2(1)=e-3+2=e-1$

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2 years ago

Why did Dante write the Inferno

makkiz [27]

Answer:

he used it as a vehicle to express his political beliefs and take comfort in imagining bad ends for his enemies. However, the poem's main purpose is, to quote Milton, to "justify the ways of G0d to Men."

Step-by-step explanation:

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3 years ago

Rewrite each expression as a single power (-5^5)^2

zvonat [6]

Answer: 5^10

Step-by-step explanation:

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3 years ago