Answer:
This tells us that the vertex is at (−2, 9) and the equation of the axis of symmetry is x = −2. To find the x-intercepts, we put y = 0 to obtain
(x + 2)2 − 9 = 0
(x + 2)2 = 9
x + 2 = 3 or x + 2 = −3
x = 1 or x = −5.
Step-by-step explanation:
Image result for Which quadratic function has a y-intercept of 4? y=x2−2x+4 y=x2+2x+9 y=−x2+3x y=x2+13x+12
The standard form of a quadratic equation is written as y=ax2+bx+c, where x and y are variables and a, b, and c are known constants. To find the y-intercept from a quadratic equation, substitute 0 as the value for x and solve. The y-intercept is always equal to the value of c in the equation.
Answer:
37.7359
Step-by-step explanation:
first you visualize the shape created
if you visualize it... it will look like a right angled triangle
and we are looking for the longest side
remember the pythagoras theorem c^2= a^2 + b^2
in this case we are looking for c
a^2= 20^2
b^2= 32^2
400+ 1024= 1424
therefore c^2= 1424
then you square root 1424
to get 37.7359
note- the answer is solely based on the information given
Answer:
C
Step-by-step explanation:
where - m is the distance moved to the right and + b is the distance moved up. So, your solution is 
Answer: (20) x = 8 , (21) x = 4√3 , (22) x = 9 , (23) x = 2√3 , (24) x = 140° , (25) x = 82°
<u>Step-by-step explanation:</u>
20) Given two intersecting chords inside a circle, the product of their segments is equal.
5 * x = 4 * 10
5x = 40
x = 8
21) Given a secant and a tangent line, the product of the outside segment and the entire segment length equals the square of the tangent segment.
4 * (8 + 4) = x²
4 (12) = x²
48 = x²
√48 = √x²
4√3 = x
22) Given two secant lines, the product of their outside segments and the entire segment lengths are equal.
4 * (5 + 4) = 3 * (3 + x)
4(9) = 3(3 + x)
4(3) = 3 + x
12 = 3 + x
9 = x
(23) Given two intersecting chords inside a circle, the product of their segments is equal.
6 * 2 = x * x
12 = x²
√12 = √x²
2√3 = x
24)
(outside arc - inside arc) = vertex angle
(30 - inside arc) = 10
30 - inside arc = 20
- inside arc = -10
inside arc = 10
outside arc + x + inside arc = 180 <em>because they form a semi circle</em>
30 + x + 10 = 180
40 + x = 180
x = 140
25) opposite angles of a quadrilateral inscribed in a circle are supplementary
98 + x = 180
x = 82