Answer:
77.112
Step-by-step explanation:
circle area A=pirsquared so A= 3.142×6×6= 113.112
rectangle area A= 6×6=36
shaded area= 113.112-36=77.112
Assuming 7/4 is an exponent
radical form= 4√3^7
Step-by-step explanation:
Use the function to find the coordinates of the endpoints. Find the slope between those points, then use point-slope form to write the equation. If you wish, you can simplify to slope-intercept form.
For example, #66:
f(2) = -4(2) + 1 = -7
f(5) = -4(5) + 1 = -19
So the endpoints of the secant line are (2, -7) and (5, -19). The slope between those lines is:
m = (-19 − (-7)) / (5 − 2)
m = -12 / 3
m = -4
The equation of the line in point-slope form is:
y − (-7) = -4 (x − 2)
y + 7 = -4 (x − 2)
Simplifying:
y + 7 = -4x + 8
y = -4x + 1
f(x) is a line, so unsurprisingly, the secant line connecting two points on that line has the same equation.
Let's try #68:
g(2) = (-1)² + 1 = 2
g(5) = (2)² + 1 = 5
So the endpoints of the secant line are (-1, 2) and (2, 5). The slope between those lines is:
m = (5 − 2) / (2 − (-1))
m = 3 / 3
m = 1
The equation of the line in point-slope form is:
y − 2 = 1 (x − (-1))
y − 2 = x + 1
Simplifying:
y = x + 3
Answer:
ABD=90
DBC=63
Step-by-step explanation:
set up the equation to find x:
abd+dbc=abc
(5x+5)+(3x+12)=153
calculate equation:
Step 1: Simplify both sides of the equation.
5x+5+3x+12=153
(5x+3x)+(5+12)=153(Combine Like Terms)
8x+17=153
8x+17=153
Step 2: Subtract 17 from both sides.
8x+17−17=153−17
8x=136
Step 3: Divide both sides by 8.
8x
/8 = 136
/8
x=17
now we have x, plug it into both angle equations.
ABD=5x+5
5(17)+5=90
DBC=3x+12
3(17)+12=63
Answer:
A
Step-by-step explanation:
We are given the two functions:
And we want to find:
This is equivalent to:
Substitute:
Distribute:
Therefore:
So, our answer is A.