What is the slope of the line? (0,2) (4, -1)

What is the length of segment AE?

nexus9112 [7]

Answer:

$AE=\frac{50}{3}\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

$AC^{2} =AB^{2}+BC^{2}$

substitute

$AC^{2} =6^{2}+8^{2}$

$AC^{2} =100$

$AC =10\ units$

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

$\frac{AB}{CD}=\frac{AC}{CE}$

substitute and solve for CE

$\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units$

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

$AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units$

6 0

3 years ago

if you know that 7 x 8=56, how can you use the commutative property of multiplication to find the product of 8 x 7 ?

Fofino [41]

Its the same thing because your just switching the order which doesn't matter when your adding or multiplying

5 0

3 years ago

What are the properties of rotations?

11Alexandr11 [23.1K]

Rotations move lines to lines, rays to rays, segments tosegments, angles to angles, and parallel lines to parallel lines, similar to translations and reflections. Rotations preservelengths of segments and degrees of measures of anglessimilar to translations and reflections.

6 0

3 years ago

Read 2 more answers

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the di

forsale [732]

Answer:

$x^2-4x+3$

$63\ \text{sq. units}$

Step-by-step explanation:

l = Length = $\dfrac{x^2-x-6}{x-5}$

w = Width = $\dfrac{x^2-6x+5}{x+2}$

Area is given by

$A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3$