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Sergeu [11.5K]
3 years ago
5

What’s a quadrant in a graph

Mathematics
1 answer:
Serjik [45]3 years ago
8 0
It’s the position on the graph. So quadrant 1 is (x,y)
Quadrant 2 is (-x,y)
Quadrant 3 is (-x,-y)
Quadrant 4 is (x,-y)
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Z is centroid of triangle RST. What is RW, if RV=4x+3, WS=5x-1, and VT=2x+9?
vaieri [72.5K]
Given that Z is the centroid of a triangle RST. This means that Z is the point of intersection of the three medians of the triangle.

So,W is the midpoint of RSV is the midpoint of RTWe are given that:RV = 4x + 3 and VT = 2x + 9

Since V is the midpoint, then:RV = VT4x + 3 = 2x + 94x - 2x = 9 - 32x = 6x = 3

Now put the value of x in WS = 5x-1WS = 5x-1WS = 5(3) - 1 WS = 15 - 1 = 14WS = 14

Since W is the midpoint of RS, therefore RW = WSand WS = 14Therefore:
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8 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator
Yakvenalex [24]

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

4 0
3 years ago
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