MATHEMATICS HIGH SCHOOL

Solve for X
3ax/5 - 4c = ax/5

Answers

Answer 1
Answer: \frac { 3ax }{ 5 } -4c=\frac { ax }{ 5 }
First multiply both sides by 5:
5\cdot (\frac { 3ax }{ 5 } -4c)=5\cdot \frac { ax }{ 5 } \n 3ax-20c=ax
then take the ax to the other side :
3ax-20-ax=0 and simplify:
2ax-20c=0 factor:
2(ax-10c)=0\n ax-10c=0\n ax=10c\n x=\frac { 10c }{ a }

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Express (x-1)^2
as a trinomial in standard form.

Answers

Final answer:

To express (x-1)^2 as a trinomial in standard form, we expand the square using the formula (a-b)^2 = a^2 - 2ab + b^2. Substituting a = x and b = 1, we get x^2 - 2x + 1.

Explanation:

To express the expression (x-1)^2 as a trinomial in standard form, we need to apply the square of a binomial formula, which is (a - b)^2 = a^2 - 2ab + b^2. In this case, a is x, and b is 1. Substituting these values into the formula, we get:

(x - 1)^2 = x^2 - 2(x)(1) + 1^2

Now, simplify each term:

1. x^2 represents the square of the first term, which is x.

2. 2(x)(1) = 2x, representing twice the product of x and 1.

3. 1^2 = 1, which is the square of the second term, 1.

So, when we simplify the expression further, we have:

(x - 1)^2 = x^2 - 2x + 1

This is the trinomial representation of (x-1)^2 in standard form. It consists of three terms: x^2, -2x, and 1, with each term having a specific coefficient.

Learn more about Expanding a square here:

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Answer:

x² - 2x + 1

Step-by-step explanation:

We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.

(x - 1)² = (x - 1)(x - 1)

We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:

x * x = x²

The outer terms are x and -1. Multiply:

x * (-1) = -x

The inner terms are -1 and x; multiply:

(-1) * x = -x

The last terms are -1 and -1; multiply:

(-1) * (-1) = 1

Add all these together:

x² + (-x) + (-x) + 1 = x² - 2x + 1

~ an aesthetics lover

What is a discrete relation

Answers

Any association or link between elements of one set, called the domain or the set of inputs, and another set, called the range or set of outputs. Good luck!

Consider a system whose solution is a set of ordered pairs. This set of ordered pairs could appear as a _[blank]_ on a graph. Select the word(s) or phrase(s) that could fill in the blank in the previous sentence to make it a true statement.a. point b. solid line c. solid region d. variable e. blank space f. dashed line

Answers

Answer: a. point

Step-by-step explanation:

The answer above makes the statement true because a point on a graph is consists of values of x and y (x;y).

For every x you punch into the system, you get a value of y, and this can go on for all values that apply to the graph. This makes up a set of ordered pairs.

Answer:

Point

Step-by-step explanation

In a pair of similar polygons, corresponding angles are congruent.A.) cannot be determined
B.) sometimes
C.) always
D.) never

Answers

The correct answer would be option C. Similar polygons
Similar polygons are polygons wherein the corresponding angles are congruent and the corresponding sides are proportional with each other. Thus, having a pair of similar polygons would mean that its corresponding angles would always be congruent.
The correct answer would be C. Always

10 kilometers is about
6 miles
B
6 feet
10 feet
60 feet

Answers

6 miles because 1km is .6214 miles, 10x.6214 ≈ 6
Your answer is 6miles !

All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 49 students brought their lunch. How many students in total are in Ridgewood Junior High School?

Answers

Answer:

245

Step-by-step explanation:

49 = 20%

2.45 = 1%

245 = 100%
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