Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract 
both sides
Divide by 
both sides
the slope of the given line is
Step 2
Find the equation of the line that passes through the point 
and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
we have
substitute in the equation
or 
therefore
<u>the answer is</u>
or
Answer:
yes
Step-by-step explanation:
Answer:
−27u + 8v
Explanation:
−3(4u − v) − 5( − v + 3u)
[ Distribute ]
= (−3)(4u) + (−3)(−v) + (−5)(−v) + (−5)(3u)
= −12u + 3v + 5v + −15u
[ Combine Like Terms ]
= −12u + 3v + 5v + −15u
= (−12u + −15u) + (3v + 5v)
= −27u + 8v
- PNW
Assuming that the figures given are square such that the scale factor between them is equal to 28/8 which can be further simplified into 7/2. The ratio of the perimeter is also equal to this value, 7/2. However, the ratio of the areas is equal to the square of this value giving us an answer of 49/4.
