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3 years ago

Solve the equation. Write a justification for each step. 5m-3=22

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

6 0

Answer:

m = 5

Explanation:

5m - 3 = 22

We need to get '5m' by itself in order to find 'm'.

Step One: Add 3 To Each Side Of The Equation

5m - 3 + 3 = 22 + 3

- 3 + 3 Cancel Each Other Out So We Have 5m By Itself On One Side

5m = 25

We Need To Divide Each Side By 5 To Get 'm' By Itself

5m / 5 = 25 / 5

m = 5

We Got 'm' By Itself, And m is 5

balu736 [363]3 years ago

5 0

Answer:

m=5

Step-by-step explanation:

5m-3=22

take 3 the other side by doing the opposite operation

5m= 22+3

5m= 25

then divide it by 5 on both sides to get the value of m.
5m÷5=25÷5
5and 5 cancels out and the answer becomes :

m=5

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Add x^3 - 4x^2 + 1 to 3x^2 + x Show Your work!

Sladkaya [172]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's solve ~

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2 years ago

What value of cc will complete the square below and make the expression a perfect square trinomial?

Sav [38]

Question: What value of c will complete the square below ( $x^{2} +30x+c$ ) and make the expression a perfect square trinomial?

Answer: c = 225

Step-by-step explanation:

Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that a = x, and b² = c, but we need to find the numerical value of $c$ .

To do this, note that the middle term, or 2ab, corresponds with (is equal to) 30x. We know that a = x, and thus, 2ab = 2bx. Now, 2bx and 30x are corresponding terms; thus, 2bx = 30x.

Dividing by $2x$ on both sides gives us b = 15. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)