Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Answer:
If your answer is linear, I would suggests: 1,2,4 maybe there's another one but I'm confident about those though. Hopefully I helped you with my options.
Step-by-step explanation:
The value of the composite function fog(1) is -1
Step-by-step explanation:
Step 1 :
Given,
f(-2) = -1
g(1) = -2
We need to find (fog)(1)
Step 2 :
Function f(2) means the value of the function f when x = 2
fog refers to composite function f(g(x)), that is evaluate the function g for x and then evaluate the function f for the result
So to find the composite function (fog)(1) we need to find g(1) first and then apply the function f on the result.
so g(1) = -2
f(g(1))=f(-2) = -1
fog(1) = -1
Step 3 :
Answer :
The value of the composite function is -1
Answer:
bshsyshbsys
Step-by-step explanation:
hhdhdhyshe sueheuheyyhduyddhdhdhdhbehshs
The slope of CD is 2
Step-by-step explanation:
The transformation done is dilation and the Dilation preserves the parallel lines that means that the image line C'D' of the line CD are parallel to each other and their slopes are same. so we have to find the slope of CD.
If the line is passing through the points (x1, y1) and (x2, y2), the slope is

From the diagram the coordinates of points C and D are :
C(5, 4), D(4, 2).
Thus, the slope of CD is
= 2
Hence, The slope of CD is 2, it does not change after dilation.