Rosa is converting a unit of measure in one system to a unit of measure in another system (1, 760yd)/(1mj) * (0.914m)/(1yd) * (1sm)/(1, 000m) Which statement about Rosa's calculations is true ?

The following statements are true;

(1) 1, 760 yd/1 mi

(2) 0.914 m/1 yd

Step-by-step explanation:

Assuming that mj is a typing error and the correct option is mi which stands for miles.

(1) 1,760 yd/1 mi

The above statement is true since 1 mile of length is equal to 1,760 yards.

(2) 0.914 m/1 yd

The above statement is true since 1 yard of length is equal to 0.914 meters.

Assuming that sm is a typing error and the correct option is cm which stands for centimeters.

(3) 1 cm/1,000 m

The above statement is not true since 1000 m of length is equal to 100000 cm.

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x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81