Absolute value represents a value's distance from <u>zero (0)</u> on the number line. It is expressed using a pair of <u>vertical</u> bars. In the order of operations, absolute value signs are considered like <u>parenthesis</u> and other grouping symbols. We complete the operations inside the absolute value signs <u>first</u> to get a single number. Then we take the absolute value of the number at the same time we evaluate <u>exponents</u> in the expression.
<h3>What is a number line?</h3>
A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values (numbers) that are placed at equal intervals along its length.
<h3>What is an absolute value function?</h3>
An absolute value function can be defined as a type of function that consist of an algebraic expression, which placed within absolute value symbols.
<h3>The equation of an absolute value function.</h3>
Mathematically, the standard form of the equation for an absolute value function is given by:
y = a|x - h| +k.
Where:
h and k are the vertex of the graph.
<h3>The characteristics of an absolute value.</h3>
Absolute value represents a value's distance from <u>zero (0)</u> on the number line. Also, it is typically expressed using a pair of <u>vertical</u> bars. In the order of operations, absolute value signs are considered like <u>parenthesis</u> and other grouping symbols such as brackets.
Furthermore, you should complete the operations inside the absolute value signs <u>first</u> to get a single number. Then, you take the absolute value of the number at the same time when you evaluate <u>exponents</u> in the expression.
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Answer:
Step-by-step explanation:
x=120°
if you look, the arrows on the lines mean they’re parallel.
so
The given triangle has vertices

After a dilation with a scale factor of

about the origin , the image triangle will have vertices
See attachment for graph
Answer:
Step-by-step explanation:
The main goal in any equation is to get the unknown variable all by itself. In this case that means moving the fraction of 7/8 over to the other side of the equals sign. On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.

On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely. What we have now is

We need a common denominator so we can add 4 (which is 4/1) to 7/8. 8 is the common denominator.
and
giving us
Answer:
152.083 is the answer I found on the internet