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enot [183]
3 years ago
10

ATTENTION ATTENTION, BURNING QUESTION!!

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0
Recall the slope intercept form of an equation is:

y = mx + c, where m is the slope and c = vertical intercept.

y + 2 = 5x + 4

y + 2 = 5x + 4

y = 5x + 4 - 2

y = 5x + 2

So the slope intercept form is y = 5x + 2

Hope this helps.
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Major help and if you can, please explain how you got your answer
hjlf
The correct answer is:  [A]:  " 384 in² " .
_______________________________________________________

Explanation:
______________________________________________________
The formula for the surface area of a cube is:
______________________________________________________

             →   A   =   6a²  ;
______________________________________________________             →   in which:  
______________________________________________________
                            A  =  surface area of the cube— for which we shall solve ; 
                                               (in "square units" ; or, " in² " ; in our case) ; 

                            a = side length = " 8 in " (given); 
    
   →  Note:  A cube has all equal side lengths.

   →  The "6" in the formula accounts for "6 sides" of a cube.

_______________________________________________________

→  To solve for the surface area of the cube; plug in our known value(s);
                &  solve;  as follows:
_______________________________________________________
                          →  A  =  6 a²  ;

                                    =  6 * (8 in)²  ;

                                    =  6 * 8² * in² ;

                                    =  6 * 8 * 8 * in² ; 

                                    =  48 * 8 * in² ; 

                                    =  384  in²  ;
_______________________________________________________
The answer is:  " 384 in² " ;  

→  which is:  Answer choice:  [A]:  " 384 in² " .
_______________________________________________________
8 0
3 years ago
Fill in the missing reason for the last step.
jek_recluse [69]

Answer:

Division

Step-by-step explanation:

You divided both sides of the inequality by -3. Multiplying/dividing by negative numbers change the sign of the inequality, so you have ">" turned into "<".

6 0
3 years ago
Last week during swim practice, Kamil swam 19 laps in 10.8 minutes. This week at swim practice, Kamil swam 18 laps in 12.6 minut
Lerok [7]
12.6min-10.8min =1.8min
6 0
4 years ago
Answer questions 13. And 14. Please! Show minimal work...
ale4655 [162]

13. The equation of the given function is y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

14. The equation of the cotangent function is y=cot[2(t-\frac{1}{3})]+2

Step-by-step explanation:

Let us revise the transformation of the trigonometric function:

y = a f[b(x + c)] + d, where

  • Amplitude is a
  • f represents the trigonometry function
  • Period is 2π/b
  • Phase shift is c (positive is to the left)
  • Vertical shift is d

13.

∵ y = a sin( \frac{2\pi t}{T} ), where a is the amplitude

   and T is the wave in seconds

∵ The amplitude is 4

∴ a = 4

∵ The period is 4π

∴ T = 4π

From the rules above

∵ The period is 2π/b

∴ T = \frac{2\pi }{B}

∴ 4π = \frac{2\pi }{b}

- By using cross multiplication

∴ 4π(b) = 2π

- Divide both sides by 4π

∴ b = \frac{1}{2}

∵ The phase shift is -\frac{4}{3}\pi

∵ c is the phase shift

∴ c = -\frac{4}{3}\pi

∵ The vertical shift is -2

∵ d is the vertical shift

∴ d = -2

Now substitutes the values of a, b, c and d in the form of the equation below

∵ y = a sin[b(t + c)] + d

∴ y=4sin[\frac{1}{2}(t-\frac{4}{3})]-2

You can write it as y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

The equation of the given function is y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

14.

y = cot[b(t + c)] + d

∵ The period = π

∵ The period is 2π/b

- Equate π by 2π/b to find b

∴ π = \frac{2\pi }{b}

- By using cross multiplication

∴ π(b) = 2π

- Divide both sides by π

∴ b = 2

∵ The phase shift is -\frac{1}{3}\pi

∵ c is the phase shift

∴ c = -\frac{1}{3}\pi

∵ The vertical shift is 2

∵ d is the vertical shift

∴ d = 2

Now substitutes the values of b, c and d in the form of the equation below

∵ y = cot[b(t + c)] + d

∴ y=cot[2(t-\frac{1}{3})]+2

The equation of the cotangent function is y=cot[2(t-\frac{1}{3})]+2

Learn more:

You can learn more about trigonometry function in brainly.com/question/3568205

#LearnwithBrainly

5 0
3 years ago
Angel is making a scale model of his favorite truck. The actual truck is 12 feet long and 4 feet wide. Angel wants his model to
inysia [295]

Answer:

the answer is 5ft wide

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
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