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FrozenT [24]
3 years ago
12

I need to know the answer

Mathematics
2 answers:
AlexFokin [52]3 years ago
4 0

Answer:

k = - 3

Step-by-step explanation:

3k + 2k - 6 = 8k + 3 \\ 5k - 6 = 8k + 3 \\ 5k - 8k = 6 + 3 \\  - 3k = 9 \\ k =  \frac{9}{ - 3}  \\ \huge \red{ \boxed{ k =  - 3}}

makkiz [27]3 years ago
3 0

Step-by-step explanation:

3k + 2k - 6 = 8k + 3

8k - 3k - 2k = - 6 - 3

8k - 5k = -9

3k = - 9

k = - 9/ 3

K = - 3

Hope it will help you :)

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A seagull flying in the air over water drops a crab from a height of 45 feet.The distance the crab is from the water as it falls
jonny [76]
For the seagull to catch the crab, h(t)=g(t) so:

-16t^2+45=-13t+23  add 16t^2 to both sides

45=16t^2-13t+23  subtract 45 from both sides

16t^2-13t-22=0  using the quadratic equation:

t=(13±√1577)/32, since t>0

t=(13+√1577)/32 seconds

t≈1.65 seconds (to nearest hundredth of a second)

And the height that this occurs using either original equation is:

h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
7 0
3 years ago
In ΔDEF, EF = 15, FD = 13, and DE = 4. Which list has the angles of ΔDEF in order from smallest to largest?
Rudik [331]

Answer:

< F , < E, < D

Step-by-step explanation:

ΔDEF

Arrange the sides from smallest to largest

DE = 4, FD = 13, and EF = 15.

Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes  the smallest angle.

the angles of ΔDEF in order from smallest to largest

< F , < E, < D

7 0
2 years ago
PLEASE HELP PRE CAL!!
Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is 14x^{4}+6x^{2}

∵ Its width is the greatest common monomial factor of 14x^{4} and 6x²

- Let us find the greatest common factor of 14 , 6 and x^{4} , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

   the smallest power

∴ The greatest common factor of x^{4} and  x² is x²

∴ The greatest common monomial factor of  14x^{4} and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = 14x^{4}+6x^{2}

∵ The width = 2x²

∴ The length = ( 14x^{4}+6x^{2}) ÷ (2x²)

∵  14x^{4} ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( 14x^{4}+6x^{2}) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0
3 years ago
Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax include
dimulka [17.4K]

Answer:

$11.55

Step-by-step explanation:

If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.

7 0
3 years ago
Find the volume of a cylinder with height 12 cm and diameter 7 cm.
Arada [10]
It would be 461.81cm^3
8 0
3 years ago
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