I find it easiest to use slope-intercept form, or y=mx+b, to do this.
First, find the slope. 6/3 = 2/1 = 2. m = 2.
Next, find the y-intercept. In this case they gave it to you directly. b = -3.
So, the equation would be y = 2x - 3.
Answer its 5
Step-by-step explanation:
look it up theirs others with this question :)
To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
The rope tied to the tree will make a triangle.
The height of the triangle = 180cm
The base of the triangle = 200cm
to find how much rope you need, work out the hypotenuse using Pythagoras:
180^2 + 200^2 = 72400
√72400 = 269.0724809
This is the length of rope he needs, however you need to +30 as this is what he will need when he ties the rope:
269.0724809 + 30 = 299.0724809
299.0724809 is less than the 270cm of rope he has, so he would need more.
