1. Complete the proof by filling in the missing reasons for six steps.

Mathematics

1 answer:

Virty [35]3 years ago

3 0

Search on the internet and you will get the answer

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Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices

geniusboy [140]

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are $A(-2,0), B(2,5),C(3,1)$

After reflection they become $A(-2,0),B(2,-5),C(3,-1)$

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

4 0

3 years ago

Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i

ella [17]

If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root

if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20

8 0

3 years ago

Simplify. 1/4 (-12+4/3)

matrenka [14]

Add what's in the parentheses first: -12 + 4/3 = -10 2/3

Then multiply -10 2/3 by 1/4: 1/4 x -10 2/3 = - 2 2/3

So your answer is -2 2/3.

Hope this helps! :D

~PutarPotato

3 0

3 years ago

Can someone please help?

Darya [45]

Answer:

a) f(x) = (-1/3)x + 8

b) f(x) = (1/3)x + 9

Step-by-step explanation:

f(x) = 1/3x - 8

a) To reflect across the x axis multiply f(x) by -1.

-f(x) = -1 (1/3x - 8)

= (-1/3)x + 8