Answer:
(2,-3)
Step-by-step explanation:
I am not sure if you meant the first equation to be y or -y. I solved it as y.
y = x-5 -x -3y =7
I am going to take the second equation and write it as x =
-x - 3y = 7 Give equation
-x = 3y +7 Add 3y to both sides
x = -3y-7 Multiplied each term in the equation by -1 so that x could be positive
I am going to substitute -3y-7 for x in the first equation up above
y = x - 5
y = -3y -7 - 5 Substitute -3y-7 for x
y = -3y -12 Combined -7-5
4y = -12 Added 3y to both sides
y = -3 Divided both sides by 4.
I now know that y is -3, I will plug that into x = -3y-7 to solve for x
x = -3(-3) -7
x = 9-7 A negative times a negative is a positive
x = 2
Answer:
So, we conclude that Mark is right.
Step-by-step explanation:
If we have the following expression: 15 - (37 + 8) : 3.
We will first divide the value we get in parentheses and then subtract it.
Because sharing is an older mathematical operation than subtraction. Therefore, we get:
So, we conclude that Mark is right.
It should be a cylinder generated by the rotation. Take a piece of paper or book and rotate it with one edge as the center, and visualize what shape it makes. Doing something like this will be the best way to understand what shape it forms.
Answer:
The height of the candle after 7 hours is 21.3 centimeters.
Step-by-step explanation:
From the information given you can assign the following values:
x1=10; y1=21
x2=28; y2=19.2
First, you have to find the slope using the following formula:
m=
m=
m=-0.1
Then, you can find the equation using the point/slope formula:
y-y1=m(x-x1)
y-21=-0.1(x-10)
y-21=-0.1x+1
y=-0.1x+22
Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:
y=-0.1(7)+22
y=-0.7+22
y=21.3
According to this, the height of the candle after 7 hours is 21.3 centimeters.