Answer:
Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have
The equation of the given line is
so
the slope of the perpendicular line to the given line is
step 2
Find the equation of the line in point slope form
we have
substitute
Convert to slope intercept form
Distribute right side
5y - 2x + 1 = 0.
5y = 2x-1.
y = 2/5 x - 2/5
this tells us that tan(theta) = 2/5
sin(theta)/sqrt(1-sin^2(theta)) = 2/5
x/sqrt(1-x^2)=2/5
x^2/(1-x^2)=4/25
25x^2=4-4x^2
29x^2=4
x^2=4/29
x = -2/sqrt(29) because quadrant III
cos(x) = sqrt(1-4/29) = -5/sqrt(29)
tan(theta)=2/5
cos(theta)=-5/sqrt(29)
sin(theta)=-2/sqrt(29)
cot(theta)=5/2
sec(theta)=-sqrt(29)/5
csc(theta)=-sqrt(29)/2
Answer: A
Step-by-step explanation:
When you write exponential form to radical form, the fraction tells us that kind of root it is. Since it is a cubed root, as indicated by the 3 in front of the radical, we know that the fraction will be . If it were to be , the entire radical would be to the power of 1. Since the radical is to the power of x, our answer would be .
In this expression, there are 4 terms.
(The terms are: 2y,3x,5×2,9)
9514 1404 393
Answer:
- A
- B
- D
Step-by-step explanation:
1. The absolute value of a positive number is that number. The absolute value of a negative number is the same number with a positive sign. Your choices simplify to ...
A. -5 > 5 . . . . . false
B. 5 = 5 . . . . true
C. 5 = 5 . . . . true
D. 5 > -5 . . . . true
__
2. The sequence of the numbers of interest on the number line is ...
-7 < |-2| < |-5| < |-10| < |-13|
The true description is |-2| is left of |-5|.
__
3. If Tamara pays for her purchase using her credit, she can spend any amount less than or equal to her credit amount of $25.
Tamara can spend $20 using her credit.