A = {1, 3, 5, 7, 9} B = {2, 3, 5, 7} What is A UB?

Triangle XYZ is shown on the coordinate grid.

dmitriy555 [2]

Answer:

XY measures √26units.

XYZ is an isosceles triangle.

XYZ is a right triangle.

Step-by-step explanation:

The given triangle has vertices $X(-1,5),Y(4,4),(-2,0)$

We now apply the distance formula to find the length of all sides to obtain;

$|XY|=\sqrt{(4--1)^2+(4-5)^2}$

$|XY|=\sqrt{(4+1)^2+(4-5)^2}$

$|XY|=\sqrt{5^2+(-1)^2}$

$|XY|=\sqrt{25+1}$

$|XY|=\sqrt{26}$

The length of YZ is

$|YZ|=\sqrt{(4--2)^2+(4-0)^2}$

$|YZ|=\sqrt{(4+2)^2+(4-0)^2}$

$|YZ|=\sqrt{6^2+(4)^2}$

$|YZ|=\sqrt{36+16}$

$|YZ|=\sqrt{52}$

The length of ZX is

$|ZX|=\sqrt{(-2--1)^2+(0-5)^2}$

$|ZX|=\sqrt{(-2+1)^2+(0-5)^2}$

$|ZX|=\sqrt{(-1)^2+(-5)^2}$

$|ZX|=\sqrt{1+25}$

$|ZX|=\sqrt{26}$

Since

$|XY|=\sqrt{26}=|ZX|$

The triangle is isosceles.

Slope of XZ

$\frac{5-0}{-1--2}=\frac{5}{1} =5$

Slope of XY

$=\frac{4-5}{4--1}=-\frac{1}{5}$

Since

$\frac{-1}{5}\times 5=-1$

The triangle is a right angle triangle.

3 0

2 years ago

Read 2 more answers

3x squared + 6x =0 5x squared -20x=0 How do I find the roots of each equation by factoring.

Ganezh [65]

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6 0

2 years ago

10.2 divided by (unknown number)= 0.8. Find the unknown number

NeTakaya

Answer:

x = 12.75

Step-by-step explanation:

10.2 : x = 0.8

x = 10.2 : 0.8

= 102/10 : 8/10

= 102/10 × 10/8

= 102/8