Answer:
First option
Step-by-step explanation:
You can plug in values and verify.
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We have to determine the equation of the line passing through the point (2,-5) and parallel to the line 
When two lines are parallel, then the slopes of the two lines are equal.
Equation of line with point 
and slope 'm' is given by:
Since, we have to determine the equation of a line with point (2,-5).
So, the equation of the line is : 
Since, the line is parallel to the line 
So, 
So, slope of the line 'm' is 
.
Therefore, the equation of the line is:
Therefore, is the required equation of the line.
Answer:
[0,1.75]
Step-by-step explanation:
range is the y value
True, this is a Pythagorean identity.
Answer:
y = 3x² - 42x + 144
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (7, - 3), thus
y = a(x - 7)² - 3
To find a substitute (9, 9) into the equation
9 = 4a - 3 ( add 3 to both sides )
12 = 4a ( divide both sides by 4 )
a = 3
y = 3(x - 7)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² - 14x + 49) - 3
= 3x² - 42x + 147 - 3
= 3x² - 42x + 144 ← in standard form
