Answer:2
Step-by-step explanation:
Answer:
The area of the parallelogram is 55 square unit.
Step-by-step explanation:
The area of a parallelogram is

It is given that the vertices of the parallelogram are P(-2, -5), Q(9, -5), R(1, 5), S(12, 5).
Plot these points on a coordinate plane, and draw a perpendicular on PQ from the point R.
From the graph is clear that length of PQ is 11 and the height of the parallelogram is 10. So, the area of a parallelogram is


Therefore the area of the parallelogram is 55 square unit.
The product of √3 and 5√3 in its simplest form is 15.
<h3>What is a rational number?</h3>
A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
To determine the product of √3 and 5√3
So, (√3 )(5√3)
⇒ 5 (√3 )(√3 )
⇒ 5(3)
⇒ 15
The result is rational because 15, can be expressed as a ratio of two integers can be 15/1 of two integers, a numerator 15, and denominator 1 ( which is a non-zero).
Thus, the result is rational.
Learn more about rational numbers here:
brainly.com/question/10354322
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Answer:
and

Step-by-step explanation:
The standard equation of a circle is
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
by adding
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
. - Finally put the whole thing together.
.
I hope this helps!
Answer
-4
Step-by-step explanation:
x^0 = 1
so -4x^0
= -4