Answer:
3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.
Step-by-step explanation:
3 is greater than -4, so strictly speaking, a slope of 3 is greater than a slope of -4.
On the other hand, the steepness of a line depends on the absolute value of the slope.
|3| = 3
|-4| = 4
Since 4 > 3, the line with slope -4 is steeper than the line with slope 3.
Answer: 3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.
Answer:
This is your answer.
Step-by-step explanation:
Hope is helps!!
Answer:
The trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
![h = \sqrt{x^{2}+y^{2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D)
If
and
, then the trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Answer:
x = 7 x = -6
Step-by-step explanation:
x^2−x−42=0
Factor
What two numbers multiply to -42 and add to -1
-7*6 = -42
-7+6 = -1
(x-7) (x+6) =0
Using the zero product property
x-7 =0 x+6 =0
x = 7 x = -6
2.9%
because you have to divide 29/1000 then move the decimal place
- Hope that helps