Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3²·r⁵·s
6r⁴s² = 2·3·r⁴·s²
12r²s = 2²·3·r²·s
The greatest common factor is the product of the common factors at the lowest exponents.
All three terms are multiples of 3, r, and s.
The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3r²s
Factor from the polynomial.
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Answer:
x > 4
Step-by-step explanation:
x + 2 > 6
-2 -2
x > 4
Answer:
<em>15 miles</em> is the correct answer.
Step-by-step explanation:
It is given that Post office is at the intersection point of First Street and Main Street and forms a right angle.
Please refer to the attached image, let us suppose post office is at point P.
Intersection of Oak street and First street is towards North and
Intersection of Oak street and Main street is towards East
PQ represents the Main Street and PR represents the First Street.
It is given that Car A drives 21 miles on main street to reach oak street
<u>To find:</u>
How far will car B have to travel on first street to get to oak street?
i.e. PR = ?
<u>Solution:</u>
By trigonometric rules we know that
Here , perpendicular is PQ i.e. 21 miles and Base is PR
Hence, <em>15 miles</em> is the correct answer.
Answer:
81, 27, 48, 77
Step-by-step explanation:
Answer:
<h2>
</h2>
Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63