A function h(x) is defined as h(x)=−5/7 x−3. By how much h(x) will decrease/increase, if x decreases by 21?
1 answer:
Answer:
h(x) increases by 15 units.
Step-by-step explanation:
Given that
This is nothing but a straight line with slope equal = -5/7
Hence rate of change of y with respect to x =-5/7
Or for a unit increase in we have 5/7 decrease in h(x)
Using the above we find that when x decreases by 21
we have h(x) to increase by 21(5/7)
=15
So y increases by 15 units
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Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM =
=
=
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.