To find square numbers, you multiply the number by itself.
For example:
5 x 5 = 25
10 x 10 = 100
Option E:
The value of m that makes the inequality true is 5.
Solution:
Given inequality is 3m + 10 < 30.
Let us first simplify the expression.
3m + 10 < 30
Subtract 10 from both side of the equation.
3m < 20 – – – – (1)
<u>To find the value of m that makes the inequality true:</u>
Option A: 20
Substitute m = 20 in (1),
⇒ 3(20) < 20
⇒ 60 < 20
It is not true because 60 is greater than 20.
Option B: 30
Substitute m = 30 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option C: 8
Substitute m = 8 in (1),
⇒ 3(8) < 20
⇒ 24 < 20
It is not true because 24 is greater than 20.
Option D: 10
Substitute m = 10 in (1),
⇒ 3(30) < 20
⇒ 90 < 20
It is not true because 90 is greater than 20.
Option E: 5
Substitute m = 5 in (1),
⇒ 3(5) < 20
⇒ 15 < 20
It is true because 15 is less than 20.
Hence the value of m that makes the inequality true is 5.
Option E is the correct answer.
Answer:
6 metals
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange both equations into this form
x - 6y = - 30 (subtract x from both sides )
- 6y = - x - 30 ( divide all terms by - 6 )
y = 
x + 5 ← in slope- intercept form
with slope m =
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes.
Clearly the lines are not parallel.
The product of the slope of perpendicular lines equals - 1, thus
× - 6 = - 1
Hence the lines are perpendicular → b
