Answer:
Step-by-step explanation:
<u>Assume a solution</u>
Assume that 60 is the length. The width is then 1/4 less, or 60 -60/4 = 45.
The diagonal of this rectangle is found using the Pythagorean theorem:
d = √(60² +45²) = √5625 = 75
<u>Make the adjustment</u>
This is a factor of 75/40 larger than the actual diagonal, so the actual dimensions must be 40/75 = 8/15 times those we assumed.
length = (8/15)×60 = 32
width = (8/15)×45 = 24
The length and width of the rectangle are 32 and 24, respectively.
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<em>Comment on this solution method</em>
This method is suitable for problems where variables are linearly related. If we were concerned with the area, for example, instead of the diagonal, we would have to adjust the linear dimensions by the <em>square root</em> of the ratio of desired area to "false" area.
Answer:
B Mina, because for every 4-unit increase in x, there is an increase in y by 2
Step-by-step explanation:
This is a linear function because the change rate is regular from one point to the next.
The X values go -12, -8, -4, 0
The Y values go -8, -6, -4, -2
You can also verify it's linear by calculating the slope at two different locations. The slope between the first two pairs (-12,-8) and (-8,-6) equals to 2. Same goes for the other pairs... so, since it has a steady slope, it's linear.
Answer:
x=2
Step-by-step explanation:
Again, trial and error.
Answer:
2
Step-by-step explanation:
