1/8= 0.125, -1/7 = -0.143 and -4/9= -0.444
-4/9, -0.333, -1/7, 1/8
Equation of a circle:
(x - h)^2 + (y - k)^2 = r^2
where (h,k) is the center and r = radius
(x - 3)^2 + (y + 2)^2 = 25
Answer:
- PS = 3
- SR = 3
- PQ = √29
- QR = √29
- kite
Step-by-step explanation:
A quadrilateral with perpendicular diagonals, one of which is a line of symmetry, is a <em>kite</em>.
Perhaps a more conventional definition of a kite is that it is a quadrilateral with two pairs of congruent adjacent sides.
<h3>1, 2)</h3>
The lengths PS and SR can be found by counting grid squares along the line segments. Each has a length of 3. They constitute one pair of congruent adjacent sides.
PS = SR = 3
__
<h3>3, 4)</h3>
The lengths of PQ an QR can be found using the distance formula. Essentially, it uses the Pythagorean theorem to compute the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates. For PQ and QR, those differences are 2 and 5, so the lengths of those segments are √(2² +5²) = √29.
PQ = QR = √29
__
<h3>5)</h3>
The figure has two pairs of congruent adjacent sides, so is a <em>kite</em>.
84
from 4 to 7 , they added 3
from 7 to 12 they added 5
from 12 to 19 they added 7
from 19 to 28 they added 9
3, 5, 7, 9.... They are simply adding odd numbers to each number. So after 9 would be 11, so you add 11 to 28 and get 39, and so on...
39 + 13= 52
52 + 15 = 67
67 + 17 = 84
84 is the ninth term, so that is your answer.
Your answer would be (4, 16) :)