Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
1.75 us cups is equal to 14 fl oz
Answer:
Hey there!
First, we want to find the side length of the large triangle.
1/2bh=y cm^2
bh=2y cm^2
Since b and h are the same here, we have b^2= 2y, 
.
And we have FC=
.
Area of shaded triangle: 
.
This is equal to: 
, or y/4.
Let me know if this helps :)
The factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
<h3>Factoring a Quadratic expression </h3>
From the question, we are to determine the each of the factors of the given quadratic expression
The given quadratic expression is
2x² - 4x - 16
Factoring
2x² - 4x - 16
First, factor out 2
That is,
2(x² - 2x - 8)
Now, we will factor x² - 2x - 8
x² - 2x - 8
x² - 4x + 2x - 8
x(x - 4) +2(x -4)
(x +2)(x -4)
Thus,
2x² - 4x - 16 = 2(x +2)(x -4)
Hence, the factors of the given quadratic expression, 2x² - 4x - 16, are 2, (x +2), and (x -4)
Learn more on Factoring a quadratic expression here: brainly.com/question/52959
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