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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

GuDViN [60]3 years ago

5 0

Does it tell you what process to use
Like graphing Substitution or elimination

Sorry :l

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Triangle DEF is translated 3 units up to form triangle D'E'F'and 5 units to the left to form triangle D''E'' ''F'. The coordinat

anzhelika [568]

Answer:

(7,-2)

Step-by-step explanation:

6 0

3 years ago

G is a trigonometric function of the form g(x)=a sin (bx+c)+d.

emmainna [20.7K]

Answer:

Formula for g(x) is $g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6$

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d. The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

= (9 - 3)/ 2

= 6/2 = 3

⇒A = 3

Now,

Period = $\frac{2\pi }{B}$

⇒B = (2π) / Period

= (2π) / 10

= π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

= $3 sin(\frac{\pi }{5}(x -(- 1))) + 6$

⇒ $g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6$

∴ we get

Formula for g(x) is $g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6$

8 0

3 years ago

Byron and his 3 friends spent $1.20 per pound for 8 1/2 pounds of candy. If each person paid the same amount, how much did each

-Dominant- [34]

Answer:

$2.55 per person

Step-by-step explanation:

Byron plus his 3 friends = 4 friends total. If there are 8 1/2 of candy total and there are 4 people, you would need to divide 8 1/2 by 4 which would give you 2.125. From there, you would need to multiply that by $1.20, the amount per pound which would give you $2.55. So, each person paid $2.55 for candy.

8 0

3 years ago

I need help is it A B C or D

Reptile [31]

The question is asking you to solve for A

to determine the first, fourth and tenth term you simply put those values in for (n)

the first term you then be given by the equation A(1) = 12 + ((1)-1)(3)

A= 12

Same thing for 4th term A(4) = 12 + ((4)-1)(3)

A= 21

10th term: A(10) = 12 + ((10)-1)(3)

A= 39

∴ your answer is C

4 0

4 years ago

The aorta is the largest artery in the human body. In the average adult, the aorta attains a maximum diameter of about 1.18 inch

Sholpan [36]

Well we know that 1 inch is 2.54 cm. But how wide is .18? Lets do .18 x 2.54 to get 0.4572. Now lets add 2.54 + 0.4572 to get 2.9972. This means that the maximum width of the aorta is 2.9972 cm. Hope this helped :)

3 0

4 years ago