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Agata [3.3K]
2 years ago
8

Which of the following is the additive inverse of -4x + 13?

Mathematics
1 answer:
krok68 [10]2 years ago
4 0

-13+4x

Step-by-step explanation:

Determine the opposite number of -4x +13 :

⬇️

-13 + 4x

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The surface of a right cylinder is 324 pi cm^2. If the radius and height are equal, find the length of the diameter
DanielleElmas [232]

Answer:

The length of the diameter is 18 cm

Step-by-step explanation:

In this question, we are asked to calculate the diameter of a right cylinder, given that the radius and the height are equal and given the value of the surface area.

Mathematically, the surface area of a cylinder can be represented by the equation;

A = 2 π r( r + h)

since r = h, we can say h = r

Thus, the equation becomes;

A = 2 π r( r + r)

A = 2 π r(2r)

A = 4 π r^2

From the question, we can see that the value of A = 324 π

substituting this, we have;

324 π = 4 π r^2

4r^2 = 324

r^2 = 324/4

r^2 = 81

r = root of 81

r = 9 cm

The value of the diameter is two times the radius

Hence D = 2r = 2 * 9 = 18 cm

8 0
3 years ago
2x3/12 as a fraction
Vesnalui [34]

Answer:

1/2

Step-by-step explanation:

2*3=6

6/12=1/2

7 0
3 years ago
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Which of the following are solutions to the equation below 3x^2+27x+54=0
VikaD [51]

Answer:x=6

Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

7 0
3 years ago
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For f(x) =4x+1 g(x)=x²-5, find (f•g)(x)​
Marta_Voda [28]

Step-by-step explanation:

The composite function (f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

5 0
3 years ago
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Find the vertical component given that R = 42 lb. and = 80.<br><br> 41.36<br> 7.29<br> 59.45
valentina_108 [34]

Answer:

a

Step-by-step explanation:

3 0
2 years ago
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