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Anton [14]
3 years ago
9

Find the perimeter and area of a triangle with the vertices and (3,0) and (6,4)

Mathematics
1 answer:
madreJ [45]3 years ago
4 0
You have to use the distance formula which is d=√(x₂-x₁)²+(y₂-y₁) to give you the distance between the points then solve for perimeter and area once you have the distance

You might be interested in
Translate the algebraic expression and simplify if possible.
tamaranim1 [39]
-2/(a+b)
Explanation: you are dividing negative two by the sum of a and b so you would put a+b in parentheses as the denominator and then put -2 as the numerator
4 0
3 years ago
PLZ SHOW ALL WORK
lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width:  w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
3 0
3 years ago
A man shares his money between his sons, Cyrus and Peter in the ratio 4 : 9. If Cyrus' share is GH¢100, find the amount shared a
statuscvo [17]

Answer:

peter will get 225

6 0
2 years ago
What's a parabola? What's a hyperbola?
Alborosie
Parabola: is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows

Hope this Helps



6 0
3 years ago
Read 2 more answers
Number line for 235+123
valentina_108 [34]
I think this is right
all you need to do is:

235-123= 112
then to make sure its correct you do:
123+112= 235

Hope this has helped you. :)
8 0
3 years ago
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