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2 years ago

A parabola whose equation is y = (x - 5)^2 - 2 has a vertex at _____.

Mathematics

2 answers:

wlad13 [49]2 years ago

8 0

The vertex would be at (5,-2)

katrin [286]2 years ago

7 0

The vertex would be at (5,-2)

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Last year 64 new houses were built in a neighborhood so far this year 7/8 of them have been sold how many new houses have been s

laiz [17]

Answer:

Step-by-step explanation:

for this problem you would first figure out what 1/8 of 64 is. 1/8 of 64 is 8.so we do 7*8 to get 56 so 56 of the 64 houses have been sold

6 0

1 year ago

Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

2 years ago

Calculate the volume of each diagrams.

wariber [46]

The volume of the solid objects are 612π in³ and 1566πcm³

<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume = πr²(h + 2/3r)

Volume = π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume = π(9)²(15) + 1/3π(9)²(13)

Volume= 81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

Learn more on volume of composite figures here: brainly.com/question/1205683

#SPJ1

8 0

1 year ago

An auditorium has 50 rows of seats. The first row has 20 seats, the second row has 21 seats, the third row has 22 seats, and so

Vikentia [17]

Answer:

1050

Step-by-step explanation:

I'm pretty positive it would be 1050 by multiplying 50 and 20 and adding 50

4 0

2 years ago

2x+5y=-21 , -2x+3y+-27

Elis [28]

Answer:

x=4.5 and y= -6

Step-by-step explanation:

2x+5y= -21

-2x+3y= -27

add the two equations: 8y= -48

y=-48/8= -6

sub for y in 2x+5y= -21

2x + 5(-6)=-21, 2x-30= -21

2x= -21+30= 9

x= 9/2=4.5

8 0

2 years ago