Answer:
<u>Use cross-multiplication to solve these</u>
- 1) 6/2 = 4/p ⇒ 6p = 4*2 ⇒ p = 8/6 ⇒ p = 4/3
- 2) 4/k = 8/2 ⇒ 8k = 2*4 ⇒ k = 8/8 ⇒ k = 1
- 3) n/4 = 8/7 ⇒ n = 4*8/7 ⇒ n = 32/7
- 4) 5/3 = x/4 ⇒ x = 4*5/3 ⇒ x = 20/3
Answer:
5x² - 35x + 50
Step-by-step explanation:
distribute 5 to (x-2) to get:
5x-10
now multiply (5x-10) and (x-5) to get:
5x² - 25x - 10x + 50
combine like terms to get:
5x² - 35x + 50
Answer:
x = 2y - 5
Step-by-step explanation:
Answer:
y = 32
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition when x = 3, y = 4.5 , then
4.5 = k × 3² = 9k ( divide both sides by 9 )
0.5 = k
y = 0.5x² ← equation of proportion
When x = 8 , then
y = 0.5 × 8² = 0.5 × 64 = 32
The greatest common factor of 14x-24 is 2. So it would be 7x - 12