Oliver climbed 222 meters of a steep mountain reach the summit. He then rappelled down the other side of the mountain to return
1 answer:
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The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)
So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )
5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)
So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )
5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!
Answer:
The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,
Step-by-step explanation:
Let the cost of 1 ruler be x
Let the cost of 1 pencil be y
Cost of 4 rulers = 4x
Cost of 3 rulers = 3x
Cost of 3 pencils = 3y
Cost of 4 pencils = 4y
We are given that Four rulers and three pencils cost £2.15
4x+3y=2.15 ---- Black line
We are also given that Three rulers and four pencils cost £2.05
3x+4y=2.05 --- Red line
Plot the lines on the graph
Point of Intersection of lines is (0.35,0.25)
Cost of a ruler = $0.35
Cost of a pencil = $0.25
Hence The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,
