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2 years ago

Graph the function. f(x) = 2x² - 5

Mathematics

1 answer:

kramer2 years ago

5 0

Answer:

Here is your answer:

Step-by-step explanation:

Paste the function in a graph maker!

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Find the length of the missing leg of a right triangle whose hypotenuse measures 15 cm and whose other leg measures 13 cm. geome

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Answer:

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The distance between the points is 10.4

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3 years ago

For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

Find the area of the semicircle

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

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3 years ago

The expression 3(x-9) is equivalent to 3(x)+9 3(x)+3(9) 3(x)-9 3(x)-3(9)

ollegr [7]

3(x-9)

when you distribute the equation you get

3(x)-3(9) which is the last answer

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3 years ago

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MikesHas 10 to spend at the store he brought a drink for 2.50 what is the maximum number of candy bars that each cost 1.75 that

liraira [26]

Answer:

10 dollars minus 2.50 is 7.50. 7.50 divided 1.75 and you get 4 candy bars

Step-by-step explanation:

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3 years ago

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