<h3>
Answer:</h3>
A. y = (-6/5)x +10
<h3>
Step-by-step explanation:</h3>
The given line has a negative slope (downward to the right). The only equation offered with a negative slope is the one of selection A.
_____
<em>Complete working</em>
A parallel line will have the same slope. If there are less-obvious choices to select from, you need to know the slope of the given line. That is computed from ...
... slope = (change in y)/(change in x)
The coordinates of two points are given, so we can find the slope as ...
... slope = (-4-2)/(-1-(-6)) = -6/5
There are a number of ways to write the equation of a line, but in slope-intercept form, the slope is the coefficient of x. You will be looking for a choice that has an x-coefficient of -6/5.
Answer: x ≤ 120
Step-by-step explanation: To get <em>x</em> by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.
When you multiply or divide both sides of an inequality by a
negative, you <u>must</u> switch the direction of the inequality sign.
So our second step in this problem reads x ≤ 120.
<u>Please give this idea your full attention.</u>
<em>Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.</em>
Question really depends on the persons mindset wether he/she likes to be rich or a middle person.
Answer:
The found values are:
A = 1/3
B = -8/3
Step-by-step explanation:
We know that general equation is given by:
y = mx + c
where m is the slope and c is a constant.
x + 3y = -5
y = -(1/3)x - 1/3(5)
Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:
Ax + By = 3
By = -Ax - 3
By = (1/3)x - 3
Hence, A = 1/3
Substitute point (-7,2) into the equation:
B(2) = (1/3)(-7) -3
B(2) = -7/3 - 3
B(2) = -16/3
B = -16/6
B = -8/3
Answer:
12. 11/18-1/6=4/9
13. 2/7+2/5=24/35
14. 3/4-3/10=9/20
Step-by-step explanation:
12. 11/18-1/6
11/18-1/6=11/18-(1/6)*(3/3)
11/18-1/6=11/18-(1*3)/(6*3)
11/18-1/6=11/18-3/18
11/18-1/6=(11-3)/18
11/18-1/6=8/18
Dividing the numerator and denominator of the fraction on the right side of the equation by 2:
11/18-1/6=(8/2)/(18/2)
11/18-1/6=4/9
13. 2/7+2/5
2/7+2/5=(2/7)*(5/5)+(2/5)*(7/7)
2/7+2/5=(2*5)/(7*5)+(2*7)/(5*7)
2/7+2/5=10/35+14/35
2/7+2/5=(10+14)/35
2/7+2/5=24/35
14. 3/4-3/10
3/4-3/10=(3/4)*(5/5)-(3/10)*(2/2)
3/4-3/10=(3*5)/(4*5)-(3*2)/(10*2)
3/4-3/10=15/20-6/20
3/4-3/10=(15-6)/20
3/4-3/10=9/20
