Answer:
10
Step-by-step explanation:
5
C
3
5!/(3!(5-3)!)
5!/(3!x2!)
120/12
10
Answer:
option A. y = 1/2 x
Step-by-step explanation:
given the equation:
y - 9 = 1/2 ( x - 3 )
here the gradient is 1/2
if passes parallel the gradient is same.
the line pass through ( -2 , -1 )
so,
y - y1 = m( x - x1 )
y - - 1 = 1/2 ( x - -2 )
y + 1 = x/2 + 1
y = 1/2 x
Therefore option A is correct.
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
Answer:
A
Step-by-step explanation:
We are given:
Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):
So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:
Since θ is in QIII, cosecant must be negative:
Our answer is A.
The domain of a function are its possible input values
The domain of the function is <em>(b) all real numbers greater than or equal to 0.</em>
From the graph, we have the following observations
- <em>t represents time (it is plotted on the x-axis)</em>
- <em>t starts at 0</em>
- <em>t has no end</em>
The above observations imply that; the domain starts from 0
Hence, the domain of the function is the set of all real numbers greater than or equal to 0.
Read more about domain at:
brainly.com/question/2709928
