Help please! Could you explain it too?
1 answer:
Answer:
a) not proportional
b) proportional; k =
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
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Answer:
Length of scale = 15 cm
Width of scale = 5 cm
Step-by-step explanation:
Dimensions of the kitchen of Mai are given as:
Length of kitchen = 6 m
Width of kitchen = 2 m
Scale to be used = 1 to 40
To find:
The drawing with labeling and dimensions of the scale drawing.
Solution:
First of all, let us understand about the concept of scaling.
Scaling is a method to represent big structures on paper.
For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.
Here, the scale factor used is 1 to 40.
i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.
40 units of kitchen = 1 unit of scale
1 unit of kitchen = units of scale
6 m of kitchen =
Length of scale = <em>15 cm</em>
40 units of kitchen = 1 unit of scale
1 unit of kitchen = units of scale
2 m of kitchen =
Width of scale = <em>5 cm</em>
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Please refer to the attached image as well for representation of given scale.
