Mathematics, 04.07.2019 20:30 nakeytrag

What is the answer for this question?

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Answer from: plshelpme53

The correct answer is A.

Step-by-step explanation:

In order to find the correct answer, we simply need to find the values of x where the two graphs are equal to each other. In order to do so, we set the two equations equal to each other and solve for the two x values.

x^2 + 3 = x + 4 -----> Subtract x

x^2 - x + 3 = 4 ------> Subtract 4

x^2 - x - 1 = 0

Now that we have this equal to 0, we can use the quadratic formula to solve. Below is the quadratic equation.

$\frac{-b +/- \sqrt{b^{2} - 4ac } }{2a}$

For this, we use the coefficient of x^2 as a, the coefficient of x as b and the constant as c. Below is the work for when we plug into the equation.

$\frac{-(-1) +/- \sqrt{(-1)^{2} - 4(1)(-1) } }{2(1)}$

$\frac{1 +/- \sqrt{5} }{2}$

$\frac{1 + \sqrt{5} }{2}$ OR $\frac{1 - \sqrt{5} }{2}$

1.6 OR -0.6

These two numbers are the x values for part A, which means it is the proper intersections.

Answer from: Quest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

What is the length of the unknown leg in the right triangle ?

Answer from: Quest

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

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