Expand and simplify 5(X-3)-2(2x+1)

Answers

Answer 1

Answer: 5(x-3)-2(2x+1)
5x - 15 - 4x - 2
(5x - 4x) - 15 - 2
x - 15 - 2
x - 17

The answer is: x - 17.

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Solve the equation for y(x-3)^=4y-12

Answers

remember yuo can do anything to an equaiton as long as you do it to both sides

(x-3)=4y-12
x-3=4y-12
add 12 both sides
x-3+12=4y+12-12
x+9=4y+0
x+9=4y
divid both sides by 4
(x+9)/4=y

First

y(x + -3) = 4y + -12\

Then you would Reorder the terms:
y(-3 + x) = 4y + -12 (-3 * y + x * y) = 4y + -12

And theses (xy + -3y) = 4y + -12(xy + -3y) = 4y + -12

then we would Reorder the terms:xy + -3y = -12 + 4y

then you would Move all terms containing x to the left, all other terms to the right.

so that means we would Add '3y' to each side of the equation.xy + -3y + 3y = -12 + 4y + 3y

then you would want to Combine like terms: -3y + 3y = 0xy + 0 = -12 + 4y + 3y xy = -12 + 4y + 3y
Combine these two 4y + 3y = 7yxy = -12 + 7y
then we would want to Divide each side by 'y'.x = -12y-1 + 7

so after simplifying it, it would be x = 7 + -12y-1

If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hypotenuse in centimeters?

Answers

Pythagorean theorem- a²+b²=c²
so a= 3 b=6 c=hypotenuse
3²+6²=c²
9+36=45
square root of 45 is 6.708203932 so 7.1 (1dp) is the answer

Let (2x-12) degrees represent the measure of an acute angle. What are the possible values of x?

Answers

Acute angle is an angle measure less than 90 degrees
Right angle is an angle that measure 90 degrees
Obtuse angle is an angle that measure more than 90 degrees.

In the given situation, we need to find the value of x of an acute angle with the given situation
=> (2x-12)
=> 0 < (2x -12) < 90
=> 12 < 2x < 102
=> 6 < x < 51

Let’s check our answer
=> 2 (51- 6)
=> 102 – 12
=> 90
Thus, the value of x = 51 degrees

Translate the phrase into an algebraic expression
The sum of c and 4

Answers

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4".

An algebraic expression is a mathematical representation that consists of variables, constants, and operations like addition, subtraction, multiplication, and division. It doesn't have an equal sign, so it doesn't form an equation. For example, "3x + 2" or "5a - 7b" are algebraic expressions.

The phrase "The sum of c and 4" can be translated into an algebraic expression as "c + 4". In this expression, 'c' represents a variable, and '4' represents a constant. The addition operation between them signifies that you need to add the value of 'c' to 4. This algebraic expression can be evaluated once you have a specific value for 'c'.

Learn more about algebraic expression here

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Answer:

C+4

Step-by-step explanation:

-7x-2y=-13
-3x-2y=-12 by substitution