The numbers are 1 and 18
<em><u>Solution:</u></em>
Let the smaller number be "x"
Let the larger number be "y"
Given that smaller of two numbers is five less than the larger number
smaller number = one - third of larger number - 5
3x = y - 15
y = 3x + 15 ------- eqn 1
Half the larger added to the smaller is 10
y + 2x = 20 ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 2
3x + 15 + 2x = 20
5x = 20 - 15
5x = 5
<h3>x = 1</h3>
From eqn 1,
y = 3(1) + 15 = 18
<h3>y = 18</h3>
Thus the numbers are 1 and 18
The general form for a straight line is y = mx + c where m is slope and c is y-intercept.
Two lines are perpendicular when the product of their slopes = -1
Given line 3x - 7y - 14 = 0, its slope = 3/7 and y-intercept = -14/7 = -2
So a line perpendicular to the given and has the same y-intercept is
y = (-7/3) x - 2
Answer:
Step-by-step explanation:
a. The sample space for this spinner would be A, B or C . Since these are the only possible outcomes in this specific spinner.
b. The spinner has a total of 6 sections but each letter has 2 sections dedicated to it. Therefore, this makes only 3 possible outcomes in which the spinner will only land on 1. This means that the probability of each letter would be 1/3
Answer:
2 ( x+3) (x+1)
Step-by-step explanation:
2x^2+8x+6
Factor out a 2
2(x^2 +4x+3)
Factor in side the parentheses
What multiply to 3 and adds to 4 (3(1=3 3+1 =4)
2 ( x+3) (x+1)
Answer:
y=36+5x
Step-by-step explanation:
5x -y = -36
-5x -5x
-y= -36 -5x
divide the entire equation by -1 to get rid of the negative on the y and you get the answer above!