Consider solving the equation for x. 3(3x + 4) - id33451883300, ismailhajisaid29101

Ответ:

sassy11111515

31.12.2021

A. If a=−3 and b=4 , then there is exactly one solution to the equation.C. If a=9 and b=−2 , then there is no solution to the equation.

Step-by-step explanation:

The given equation is

3(3x+4)-5=ax+b

To solve for , we need to use the distributive property

$3(3x+4)-5=ax+b\\9x+12-5=ax+b\\9x-ax=b-7\\x(9-a)=b-7$

To find the right statement, we need to the given values.

For a=-3 and b=4,

$x(9-a)=b-7\\x(9-(-3))=4-7\\x(9+3)=-3\\12x=-3\\x=\frac{-3}{12} =-\frac{1}{4}$

So, choice A is true, because there's one solution to the equation.

For a=-9 and b=13,

$x(9-a)=b-7\\x(9-(-9))=13-7\\18x=6\\x=\frac{6}{18}=\frac{1}{3}$

The choice B is false.

For a=9 and b=-2

$x(9-a)=b-7\\x(9-9)=-2-7\\0x=-9\\0=-9$

Choice C is correct, because there's no solution, because zero is not equal to -9.

For a=-3 and b=-5

$x(9-a)=b-7\\x(9-(-3))=-5-7\\12x=-12\\x=\frac{-12}{12}=-1$

Choice D is false, becuase there's only one solution.

For a=9 and b=7

$x(9-a)=b-7\\x(9-9)=7-7\\0x=0\\0=0$

Choice E is false, because there are infinite solutions in ths case.

Therefore, the right choices are A and C.

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megamorph

15.05.2022

What is the longest side?

square root of 1700

What is the square of the longest side?

1700

What is the sum of the squares of the two shorter sides?

1700

Does the window frame form right triangles?

Yes, the sum of the square of the two shorter sides equals the square of the longest side.

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