Answer:
line l: x = -1
line m: x = 6
line n: y = 4
line p: y = -2
Step-by-step explanation:
All of these lines are parallel to either to y or x axis, so the slope is either zero or undefined. This means all you have to do is set x or y equal to the x intercept or y intercept. For lines that go vertically, they always have the same x coordinate and any y coordinate you put in will make a point that is on the line. The same thing with the horizontal lines, except they all have the same y coordinate and any x coordinate will make a point that is on that line.
All you have to do is set x or y, depending on which way the line is going, equal to the point is goes through on the axis it travels through, no need to worry about slope or y = mx + b.
Answer:
You need to solve for one variable in each equation and the substitute that in for the second equation.
Step-by-step explanation:
Hello!
1 quart=4 cups
4(4)=16
1/4(4)=4/4
16+4/4=16 4/4
Our final answer is 16 4/4 cups.
I hope this helps!
Answer:
(a) Two x plus eight is greater than negative four
(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded
Step-by-step explanation:
(a)
Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:
<em>Two x plus eight </em><em>is greater than</em><em> negative four</em>
<em />
(b)
We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.
Subtract 8 from both sides:
2x + 8 - 8 > -4 - 8
2x > -12
Divide by 2:
x > -12/2
x > -6
So, the solution set is all numbers greater than -6.
Drawn on a number line, we would first place an <em>open circle</em> at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.
