Alejandro solved the equation 5(7x^2-2)-8=3. He wrote 5(7x^2-2)=11 as his first step. Which property justifies his first step?

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

His first step justifies The Addition Property of Equality. Hope this helps.

Scorpion4ik [409]3 years ago

3 0

The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.

Hope this helps :)

You might be interested in

Is this correct? I have an open dot on 2 with the arrow going to the right if it's not clear

dlinn [17]

Answer:

Yep! an open dot is <

A closed dot means ≤

Hope this helps! :)

If you don't mind please mark as brainliest! :)

7 0

3 years ago

What is the value of z?

VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

+ 11 +11

________

z = 61

6 0

3 years ago

Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.