Answer:
Step-by-step explanation:
1) find the total candies
7 + 8 + 5 + 9 = 29
2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find
- red = 7/29
- blue = 8/29
- yellow = 5/29
- green = 9/29
3) compound probability
(red + blue)/29 = 15/29
(yellow + green)/29 = 14/29
(blue + yellow + green)/29 = 22/29
Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M
Step-by-step explanation:
Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).
Hence rotating Q 180 degrees form the center will be similar to reflecting Q over any of the perpendicular lines
Answer:
Step-by-sep explanation:
Given:
Diameter of circle = 20 units
Center of circle = (-1, 7)
Standard form of the equation of a circle is expressed in the center-radius form as:
,
Where,
h = -1
k = 7
r = ½ of diameter = ½(20) = 10 units
Plug in the values into the equation
