Answer:
center: (-10,-4)
radius: 9
Step-by-step explanation:
Let's start off by moving the 35 to the other side and grouping the x and y terms we have
(x²+20x)+(y²+8y)= -35
Next we take the term with the x coeficcent, divide it by 2, and square it
so
for the x we would do (20/2)²=100
and make sure we add that to the 35
(x²+20x+100)+(y²+8y+16)= -35+100+16
next factor everythign to get
(x+10)²+(y+4)²=81
therefore the center is (-10,-4)
and the radius is √81 or 9
Answer:
26°
Step-by-step explanation:
An obtuse triangle is a triangle that has one obtuse angle. Obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.
An isosceles triangle is a triangle that has two equal sides and angles.
Therefore, an obtuse isosceles triangle is a triangle with an obtuse angle and two equal sides that have two equal acute angles (angle less than 90° ).
Given:
The three angles of the triangle are given to be x°, x° and (10x−2) = 128°. The obtuse angle is 128°, the two x° are acute angles. We are not using equation 10x − 2 since the value of the obtuse angle has been given as 128°
The sum of angles in a triangle is 180°
∴ x° + x° + 128° = 180°
2x° = 180° - 128°
2x° = 52°
x° = 52° / 2
x° = 26°
The measurement of one of the acute angles is 26°
<span>A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.</span>
Answer:
The length of each side is 12cm.
Explanation:
The perimeter of a square is calculated by the formula:
P=4a, where P=perimeter, and a=length of any side, all sides being equal in a square.
From the given data we write:
48=4a
Divide both sides by 4.
12=a
The length of each side is 12cm.
