Answer:
2
Step-by-step explanation:
If we are given two points, we can find the slope by using
m = (y2-y1)/ (x2-x1)
= (-2- -6) /( 5-3)
= (-2+6)/ (5-3)
= 4/2
= 2
Answer: Speed of motorboat= 25 km hr
Speed of current= 5km hr
Step-by-step explanation:
120/4= speed of motorboat with the current
120/6= speed of motorboat against the current
Get the average of those 2 numbers.
Motorboat=25 km hr
Speed of current= 5 km hr
Answer:
![x = -20](https://tex.z-dn.net/?f=x%20%3D%20-20)
Step-by-step explanation:
Use inverse operations and simplification to isolate the variable in the equation.
![-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7Dx%20%2B%207%20%3D%2015%5C%5C-7%5C%5C%5C%5C-%5Cfrac%7B2%7D%7B5%7Dx%20%3D%208%5C%5C)
Now divide the equation by
remember, dividing a fraction is the same as multiplying by the reciprocal. The reciprocal of a fraction is when one switches the places of the numerator (number on top of a fraction bar), and the denominator (number on the bottom of the fraction bar).
![-\frac{2}{5}x = 8\\](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7Dx%20%3D%208%5C%5C)
÷![-\frac{2}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B5%7D)
![x = 8 * (-\frac{5}{2})](https://tex.z-dn.net/?f=x%20%3D%208%20%2A%20%28-%5Cfrac%7B5%7D%7B2%7D%29)
Simplify,
![x = 4 *(- 5)\\\\ x= -20](https://tex.z-dn.net/?f=x%20%3D%204%20%2A%28-%205%29%5C%5C%5C%5C%20x%3D%20-20)
Answer:
sin(A) = cos(C)
Step-by-step explanation:
Trig ratios:
![\mathsf{\sin(\theta)=\dfrac{O}{H} \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \tan(\theta)=\dfrac{O}{A}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Csin%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BH%7D%20%5C%20%5C%20%5C%20%5Ccos%28%5Ctheta%29%3D%5Cdfrac%7BA%7D%7BH%7D%20%5C%20%5C%20%5C%20%5Ctan%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BA%7D%7D)
(where
is the angle, O is the side opposite the angle, A is the side adjacent to the angle, H is the hypotenuse, of a right triangle)
![\mathsf{\sin(A)=\dfrac{BC}{AC}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Csin%28A%29%3D%5Cdfrac%7BBC%7D%7BAC%7D%7D)
![\mathsf{\cos(C)=\dfrac{BC}{AC}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Ccos%28C%29%3D%5Cdfrac%7BBC%7D%7BAC%7D%7D)
Therefore, sin(A) = cos(C)
Answer:
1/2
Step-by-step explanation:prime numbers ={2,3,5,7}
likelihood of prime numbers =number of prime numbers /all numbers
=4/8 , 4 divides itself once and 4 divides 8 twice.
=1/2