Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
Answer:
h = 140
Step-by-step explanation:
To solve for h, we will have to get the equation into the form h = _. That would be our answer.
0.8h = 112
Divide 0.8 from both sides to get rid of the coefficient of 0.8 on the left side.
h = 112/0.8
Change 112/0.8 to 1120/8 on the right side. This will make the fraction easier to simplify.
h = 1120/8
Simplify the fraction on the right side.
h = 140/1
140/2 equals 140.
h = 140
I hope you find this helpful. :)
Answer:
3/20
Step-by-step explanation:
Answer:
500 metres
Step-by-step explanation:
As per the question statement:
Randy walks all the way around the block and stops when he gets back to where he started.
Distance of 1 unit is 10m.
Please refer to the image attached:
Let us assume that he starts from point <em>A</em> and then moves towards point <em>B</em>, then towards point <em>C </em>and then <em>D </em>and finally reaches point <em>A </em>back.
While walking from A to B, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
While walking from B to C, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
Similarly, C to D, he walks parallel to x-axis for 9 - (-5) units i.e. 14 units.
Similarly, D to A, he walks parallel to y-axis for 9 - (-2) units i.e. 11 units.
Total distance traveled is 110 + 140 + 110 + 140 = <em>500 metres.</em>
