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
Two lines to be parallel their slopes have to be equal.
so m1 = m = 4
y = mx + b ( Slope intercept form)
y = 4x + b
(3,0) is on the line:
0 = 12 + b
b = -12
y = 4x - 12
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
Answer:
Exact Form:
x=−107
Decimal Form:
x=−1.428571
Mixed Number Form:
x=−137
Step-by-step explanation:
13 3/4 + x = 7 1/4
becomes x = 13 3/4 / 7 1/4
13 3/4 = 55/4
7 1/4 = 29/4
55/4 / 29/4 = 55/4 * 4/29 = 220/116
220/116 reduces to 1 26/29
