Answer:
(x - 3)² + (y - 5)² = 16
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius
given (h, k ) = (3, 5 ) we require to find r
r is the distance from the centre to a point on the circle
given x = - 1 is a tangent the r is the distance between the x- coordinates
r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4
then equation of circle is
(x - 3)² + (y - 5)² = 4² , that is
(x - 3)² + (y - 5)² = 16
Answer:
B
Step-by-step explanation:
Hi there!
TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.
For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.
For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.
For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.
For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.
I hope this helps!
Answer:
4
Step-by-step explanation:
Perimeter equation: Length + Width * 2
so divide 2 by 16
which gives you 8 and minus that by its half so you get 4
In linear equation, 15.2% did the total number of students on the honor roll decrease.
What in mathematics is a linear equation?
- A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
- Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
50 × 24% = 12
50 × 14%= 7
12+ 7 = 19
50+75 = 125
19 ÷125= 15.2%
Learn more about linear equation
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19/20
19/20 = 0.95
0.9 < 0.95
