Answer:
The numerical length of MO is 20 units
Step-by-step explanation:
Let us solve the question
∵ Point N is on line segment MO
→ That means point N divides segment MO into two parts MN and NO
∴ MO = MN + NO
∵ MO = 2x + 5
∵ MN = 2x + 3
∵ NO = 2x - 3
→ Substitute them in the equation above
∴ 3x + 5 = (2x + 3) + (2x - 3)
→ Add the like terms in the right side
∵ 3x + 5 = (2x + 2x) + (3 - 3)
∴ 3x + 5 = 4x + 0
∴ 3x + 5 = 4x
→ Subtract 3x from both sides
∵ 3x - 3x + 5 = 4x - 3x
∴ 5 = x
∴ The value of x is 5
→ To find MO substitute x by 5 in its expression
∵ MO = 3x + 5
∴ MO = 3(5) + 5
∴ MO = 15 + 5
∴ MO = 20 units
The numerical length of MO is 20 units
2+3t
When t is 1
2+3(1)
2+3
5
When t is 4
2+3(4)
2+12
14
Answer:
y = 12
Step-by-step explanation:
set up equation for 'y varies inversely with x': y = k/x
where 'k' is the constant of variation
8 = k/6
therefore, k = 48
value of y when x = 4: y = 48/4; therefore, y = 12
Answer:
10v² - 27v - 17vx - 20x²
Step-by-step explanation:
Given
(5v + 4x)(2v - 5x - 3)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
5v(2v - 5x - 3) + 4x(2v - 5x - 3) ← distribute both parenthesis
= 10v² - 25vx - 15v + 8vx - 20x² - 12x ← collect like terms
= 10v² - 15v - 17vx - 12x - 20x²
