Answer:
Distance = 5 units
Step-by-step explanation:
The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).
<h2>Solution:</h2>
In order to find the distance between two points, we can use the following distance formula:
Let (x₁, y₁) = (1, 5)
(x₂, y₂) = (5, 2)
Step 1: Substitute points into the formula:
Step 2: Subtract the integers in each of the parenthesis under the radical:
Step 3: Evaluate the powers (exponents):
Step 4: Add 16 and 9:
Step 5: Take the square root of 25:
⇒ Distance (D) = 5 units.
<h2>Final Answer:</h2>
Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.
<h3>________________________</h3>
<u><em>Keywords:</em></u>
Distance formula
Two points
____________________________
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Answer:
C
Step-by-step explanation:
C is not a function because 5 has two y values
It has 5 significant digits
Answer:
The general equation of the lines that are perpendicular is:
b can by any number.
Step-by-step explanation:
The equation of a line is given by:
where m is the slope and b is the intercept
The equation of a perpendicular line to the previuos one is:
That means that the slope of a perpendicular line is inverse and sign opposite to the other line.
Hence, the equation given is:
m would be:
m=1
So the perpendicular slope would be:
The general equation of the lines that are perpendicular to y=x+3 is:
b can be any number
In attached picture:
y=x+3 is the red line
y=-x+b is the blue line
When expressions are equivalent, the expressions have the same value. The number is 43
Given that:
number
10 less than x means:
The number is equivalent to 32.
This means
Collect like terms
Hence, the number is 42
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