Answer:
g(x) = 
+ 4x + 3; x = -3, -1; g(x) = 3
Step-by-step explanation:
a) The standard form of a quadratic function is:
f(x) = a + bx + c
Now, replace the variables with the values given.
g(x) = + 4x + 3
b) To find the zeros of the function (x-intercepts), set y to 0 and solve for x:
g(x) = + 4x + 3
0 = + 4x + 3
(x + 3)(x + 1) = 0
(x + 3) = 0
x = -3
(x + 1) = 0
x = -1
c) To find the y-intercept of the function, set the x values to 0:
g(x) = + 4x + 3
g(x) = 3
Answer:
26.1799
Step-by-step explanation:
Area equals 
r² = 5² = 78.5398
The two shaded areas are each 60°. That makes 120°. 120°is 1/3 of 360°
78.5398÷3=26.1799
Answer:
255 steps
Step-by-step explanation:
They give us the length of the bridge and the length of each step of Robert, therefore we must divide these values to find the number of steps necessary, but first we must pass the distance of the bridge to centimeters:
140m * 100cm / 1m = 14000
Therefore the bridge would have a length of 14000 centimeters, we divide:
14000/55 = 254.54
Which means that Robert take at least 255 steps to fully walk the bridge.
Answer:
x = 13sqrt(3) ft = 22.5 ft
y = 13 ft
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is
short leg : long leg : hypotenuse = 1 : sqrt(3) : 2
From the ratio above we see that the hypotenuse is twice the short leg.
The long leg is sqrt(3) times the short leg.
y = short leg
x = long leg
26 ft = hypotenuse
y = 26 ft/2 = 13 ft
x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft
Answer: 28 in
Step-by-step explanation:
To find the perimeter we need to add all the sides
4 in + 6 in + 5 in + 6 in + 2 in + 5 in
28 in
