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2 years ago

What are some important features of a prism? In other words, what makes a prism a prism?

Mathematics

2 answers:

Flauer [41]2 years ago

8 0

Answer:

A solid figure whose bases or ends have the same size and shape and are parallel to one another, and each of whose sides is a parallelogram.

Step-by-step explanation:

Dmitriy789 [7]2 years ago

4 0

Answer:

I d k... give other guy brainiest though

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Determine the center and radius of the following circle equation:

UkoKoshka [18]

Answer:

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Step-by-step explanation:

Explanation:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

x² +10 x + y² + 20 y +109 =0

x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

By using formula

(a+b)² = a² + 2 a b + b²

(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0

(x + 5 )² + ( y + 10 )² - 16 = 0

(x + 5 )² + ( y + 10 )² = 16

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle ( x - h )² + ( y -k)² = r²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Conclusion:-

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

3 0

2 years ago

Help I can’t figure out how to do zero exponents

Orlov [11]

Anything (except 0) to the 0 power is equal to 1.

8^0 = 1

(-8)^0 = 1

24781297429879741^0 = 1

4 0

1 year ago

Use a half-angle identity to find the exact value of sinPi/8

stellarik [79]

Answer:

sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

$\sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}$

We can let θ = π/4 and simplify the result as follows:

$\sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}$

5 0

2 years ago

Read 2 more answers

What is x+2y=6 in point slop form

olasank [31]

Y=x+3 (I did this in my head so I'm not sure)

5 0

2 years ago

Two functions are shown in the table below.

SVETLANKA909090 [29]

Answer:

$(d)\ x = 4$

Step-by-step explanation:

Given

$f(x) = -x^2 + 4x + 12$

$g(x) = x + 8$

Required

Find x such that: $f(x) = g(x)$

This gives:

$-x^2 + 4x + 12 = x+8$

Collect like terms

$-x^2 + 4x -x + 12 -8=0$

$-x^2 + 3x +4 =0$

Expand

$-x^2 + 4x - x+4 =0$

Factorize

$x(x - 4) - 1(x-4) = 0$

Factor out x - 1

$(x- 1)(x - 4)=0$

Solve:

$x =1\ or\ x = 4$

8 0

2 years ago

What are some important features of a prism? In other words, what makes a prism a prism?​

What are some important features of a prism? In other words, what makes a prism a prism?