On the coordinate plane shown below, points h and i have coordinates (-2,-3) and (3,2), respectively. on use the pythagorean theorem to determine the distance between points hand i on the coordinate plane.

Step-by-step explanation:

Here we are given two coordinates and we are required to fin d the distance between them not by using the distance formula but by using Pythagoras theorem.

Let us see how we do that.

We will take the help of graph in this. We draw a line parallel to x axis passing through H (-2,-3) and a vertical line passing through I(3,2)

Let us assume that these two lines intersect at point J whose coordinates will be (-3,-3)

Now using scale of the graph we can see that Distance HJ = 5 units and IJ= 5 units and ΔHIJ makes and Right angle triangle where ∠IJH = 90°

Hence we can apply Pythagoras theorem in this.

Please refer to graph in attachment for further clarification.

2 x t divided by n

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.