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Elden [556K]
3 years ago
9

Please help me solve this

Mathematics
2 answers:
sleet_krkn [62]3 years ago
6 0

Answer:

24

Step-by-step explanation:

4x + 6 = 102

-6. -6

4x= 96

x=24

liberstina [14]3 years ago
6 0

Sum of all angles of triangle=180°

So, 102 + 4x + 6 + x = 180

or 5x + 108 = 180

or 5x = 180 - 108

or 5x = 72

or x = 72/5

or x = 14.5

So, x = 14.5°

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Which will result in a difference of squares?
otez555 [7]

Expanding the given expressions using Foil:

1)(–7x + 4)(–7x + 4) =7x^{2}-28x-28x+16=49x^{2}-56x+16

2) (–7x + 4)(4 – 7x)=-28x+49x^{2}+16-28x=49x^{2}-56x+16.

3)(–7x + 4)(–7x – 4)=49x^{2}+28x-28x-16=49x^{2}-16.

4)(–7x + 4)(7x – 4)=49x^{2}+28x+28x-16=49x^{2}+56x-16.

The third option that is (–7x + 4)(–7x – 4) is difference of two squares.

5 0
3 years ago
Read 2 more answers
At what point is the function y=(x+3)/(x^(2)-7x+12) continuous
nika2105 [10]

If a function is defined as

h(x)=\dfrac{f(x)}{g(x)}

where both f(x),g(x) are continuous functions, then h(x) is also continuous where defined, i.e. where g(x)\neq0

So, in your case, this function is continous everywhere, except where

x^2-7x+12=0

To solve this equation, we can use the formula x^2-sx+p=0

It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.

So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.

So, this function is continuous for every real number different than 3 or 4.

3 0
3 years ago
Plzzzz help meeeeee plzzzzz
Pachacha [2.7K]

Answer:

i need points sorry

Step-by-step explanation:

6 0
3 years ago
A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pul
maw [93]

Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

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A wire 8 meters long is cut into two pieces.
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Each wire is now 4 meters long.
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