What is the value of this expression when c = -4 and d = 10?
2 answers:
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Answer:
B) x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be × perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' = * x units
= x units
Answer:
Step-by-step explanation:
Given equation of line:
To find the equation of line perpendicular to the line of the given equation and passes through point (8,2).
Applying slope relationship between perpendicular lines.
where and
are slopes of perpendicular lines.
For the given equation in the form the slope
can be found by comparing
with standard form.
∴
Thus slope of line perpendicular to this line would be given as:
∴
The line passes through point (8,2)
Using point slope form:
Where and
So,
Using distribution.
Adding 2 to both sides.
Thus the equation of line in standard form is given by: