MATHEMATICS HIGH SCHOOL

What is the solution to this system of linear equations?y − 4x = 7

2y + 4x = 2

(3, 1)
(1, 3)
(3, −1)
(−1, 3)

Answers

Answer 1
Answer:

Answer:

The correct answer is D. (-1,3)
Answer 2
Answer:

Answer:

The answer would be D (-1, 3)

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What is the approximate area of the shaded sector in the circle shown below? A) 26.5 cm^2 B) 11.78 cm^2 C) 5.89 cm^2 D) 53.0 cm^2

Answers

Step-by-step explanation:

Please recheck and possibly resend question as there is no circle shown.

Describe how to decide if 94 is a prime number or composite number

Answers

94 is a composite number.

If 94 were a prime number, 94 would only have 2 factors, which are 1 and itself. Since 94 has another factor other than 1 and itself (which is 2), 94 is a composite number.

Hope this helps~
to decide if 94 is a prime number or composite numberyou must find the prime factorization

Please help me with this question! :)

Answers

Answer:

red is the anwser y=3x+2

Let f(x)=x+8 and g(x)=x^2 -6x-7. find f(g(2))

Answers

f(g(2))=2^2-6\cdot2-7+8=4-12+1=-7
f(x)=x+8\n\ng(x)=x^2-6x-7\n\nf(g(x))=(x^2-6x-7)+8=x^2-6x+1\n\nf(g(2))=2^2-6\cdot2+1=4-12+1=-7\n\nSolution:f(g(2))=-7

What is the length of s?​

Answers

Answer:

20.78460969 = s

Step-by-step explanation:

tan theta = opposite side / adjacent side

tan 60 = s /12

Multiply each side by 12

12 tan 60 = s /12 *12

20.78460969 = s

What is the distance between (-5,4) and (8,-2)

Answers

The distance between -5 and 8 is 13.

The distance between -2 and 4 is 6.

These two distances, including the hypotenuse which is the distance you want to discover - form a right angled triangle. The adjacent side of this right angled triangle has a length of 13, whilst its opposite side has a length of 6.

If you want to find the distance between (-5, 4) and (8, -2), you simply measure the hypotenuse of this invisible right angled triangle which has been formed. Let's call the length of this hypotenuse "d".

We shall use Pythagoras's theorem to produce our result:

{ d }^( 2 )={ 13 }^( 2 )+{ 6 }^( 2 )\n \n d=\sqrt { { 13 }^( 2 )+{ 6 }^( 2 ) } \n \n \therefore \quad d=\sqrt { 205 }

[*Complete answer derived on a calculator]

This means that the distance between (-5, 4) and (8, -2) is √(205). √(205) is approximately equal to 14.3.
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