Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1
The slope of the line that is perpendicular to 6x + 2y = -32 is: 1/3.
<h3>What is the Slope of Perpendicular Lines?</h3>
The slope of two lines that are perpendicular to each other will always have a product that is equal to -1, which means that their slopes are negative reciprocals to each other.
Rewrite 6x + 2y = -32 in slope-intercept form:
2y = -6x - 32
2y/2 = -6x/2 - 32/2
y = -3x - 16
The slope is -3. Negative reciprocal of -3 is 1/3.
Therefore, the slope of the perpendicular line would be: 1/3.
Learn more about the slope of perpendicular lines on:
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Answer:
UV=25 units
Step-by-step explanation:
we know that
UW=UV+VW -----> by addition segment postulate
substitute the given values
4x+10=5x+5
solve for x
5x-4x=10-5
x=5
Find the value of UV
UV=5x
substitute the value of x
UV=5(5)=25 units
It is cheeper to buy 127g of cookies for 7.03$. If you divide the cookie price by the G(cookies) you can see what price is higher.
Answer:
13402
Step-by-step explanation:
PV= $299,132
I/YR= 4.48% or 0.0448
N= 216
PMT= $13402
(Excel works great with this and will solve it for you, use the PMT function and insert the numbers provided. It will show a (-) but that is because a positive PV is placed.)
