Answer:
k = 4
Step-by-step explanation:
k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).
2 - (-2) = 4
Hope that helps! :D
B
calculate the slopes m of the 2 lines using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = C(- 2, 4) and (x₂, y₂ ) = D(0, - 4 )
= 
= 
= - 4
repeat with (x₁, y₁ ) = F(- 4, 0 ) and (x₂, y₂ ) = G(4, 2 )
= 
= 
= 
The 2 lines are perpendicular because their slopes are negative reciprocals
Answer:
<u>3 batches of biscuits.</u>
Step-by-step explanation:
For one batch of biscuits, Mito uses 1/4 cup of flour to coat the countertop and the rolling pin.He also uses 2 1/2 cups of flour for each batch of biscuits he bakes
When he uses 7 3/4 cups of flour
Let the number of batches = x
convert the given data to decimal:
2 1/2 = 2.5 and 1/4 = 0.25 and 7 3/4 = 7.75
So, the equation representing the problem is:
2.5 x + 0.25 = 7.75
Solve for x
2.5x = 7.75 - 0.25 = 7.5
x=7.5/2.5 = 75/25 = 3
<u>So, the number of batches of biscuits = 3 batches.</u>
Gradient =
Change in Y
———————
Change in X
Change in Y is 18 - 14 = 4
Change in X is -20 - 30 = -50
Therefore the gradient is 4/-50 which is then simplified to - (2/25)
The true statements about the functions are:
- g(x) has the maximum greatest value.
- h(x) has a range of all negative numbers.
<h3>How to determine the true statements?</h3>
The complete question is in the attached image
From the image, we have:
- g(x) has the greatest maximum value of 7 1/2
- All the values of h(x) are negative
- All the values of f(x) are positive
This means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.
Read more about domain and range at:
brainly.com/question/17019835
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