K-7= 7 less than k
It's like if your wording backwards
As the equation is already in <em>y</em>=<em>mx</em>+<em>b</em>, all we need to do is use the equation to draw out a graph (or in this case, match with an already existing graph) using the y-intercept and slope. Since the y-intercept is 5, we can eliminate graphs C and D from our answers. We know the slope is -4, which means that our rise over run is -4 over 1. That would mean, to get from one point to the next, you go down 4 spaces and to the right one. This means the correct answer is graph B.
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
Answer:
Option (C). 4.6 cm
Step-by-step explanation:
In the figure attached,
A right triangle has been given with hypotenuse = 6 cm, leg 1 = x cm, leg 2 = y cm and one angle = 50°
By applying Sine rule in this triangle,
Sin(50)° = 
Sin(50)° = 
x = 6(Sin50°)
x = 4.59
x ≈ 4.6 cm
Therefore, Option (C) will be the answer.
