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3 years ago

13

If P is the midpoint of ST, SP=x+4and ST=4x determine the length of ST

1 answer:

mario62 [17]3 years ago

3 0

The answer for ST is 8

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What are the correct answers and why? Simple and concise explanation please!!!

dezoksy [38]

Answer:

$\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}$

Step-by-step explanation:

$(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)$

$f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1$

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$-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8$

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$-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4$

$In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.$

6 0

2 years ago

Read 2 more answers

The family has crops growing on 15 acres of their farmland. At the beginning of the growing season, Jayleen and Wyatt ride a tra

belka [17]

Answer:

10

Step-by-step explanation:

Given:it takes them 1.5 hours to plant one acre.

So, in order to plant all 15 acres it would take

15/1.5 = 10 hours

3 0

3 years ago

Please help me!! -6+x/4=-5

damaskus [11]

y= 4 hope this helps :)

8 0

3 years ago

Plz help me with number 8 plz help me I’m begging you plz help me I need your help plz help me I’m begging you plz help me

vampirchik [111]

Answer:

B. 990<s<1,850

6 0

3 years ago

Read 2 more answers

The number 0.3333... repeats forever, therefore, it is irrational

denis-greek [22]

Answer:

FALSE

Step-by-step explanation:

A repeating decimal is a rational number.

0.3333(repeating) = 1/3

__

A <em>non</em>-repeating infinite decimal is an irrational number. √2 and π are examples of such numbers.

6 0

3 years ago