Answer:
The equation of this line would be y = 11x - 48
Step-by-step explanation:
To get this equation, we first have to find the slope. We do that with the slope eqaution.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - 7)/(4 - 5)
m = -11/-1
m = 11
Now we can use this slope and either point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
y - 7 = 11x - 55
y = 11x - 48
Answer:
FD≈25.94.. rounded = 26
Step-by-step explanation:
FD²=12²+(4x+11)²
FD²=144+16x²+88x+121
FD²=265+16x²+88x
also
FD²=12²+(13x-16)²
FD²=144+169x²-416x+256
FD²=400+169x²-416x
thus
265+16x²+88x = 400+169x²-416x
16x²-169x²+88x+416x+265-400 = 0
-153x²+504x-135 = 0
we will solve this quadratic equation by suing the quadratic formula to find x
x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)
x=(-504±
)/2(-153)
x=(-504±
)/-306
x=(-504±
)/-306
x=(-504±414)/-306
x=(-504+414)/-306 and x=(-504-414)/-306
x=-90/-306 and x=-918/-306
x= 5/17 , 3
substituting x by the roots we found
check for 5/17:
4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..
13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..
check for 3:
4x+11 = 4×3+11 = 12+11 = 23
13x-16 = 13×3-16 = 23
thus 3 is the right root
therfore
ED=23 and CD=23
FD²=FE²+ED² or FD²=FC²+CD²
FD²=12²+23²
FD²=144+529
FD²=673
FD=√673
FD≈25.94.. rounded = 26
Answer:
V = 267.95
Step-by-step explanation:
Volume of a Sphere:
V = 4/3πr³
r = d/2
r = 4
Work:
V = 4/3πr³
V = 4/3(3.14)(4³)
V = 4/3(3.14)(64)
V = 267.95
Answer:
The odd function is written f (x) = (x) and rounds the odd numbers to the nearest integer.
The graph of f (x) = (x) includes the point (17/4), (7/2), (15/6)
Step-by-step explanation:
The odd function seeks to round odd numbers, with fractions of first odd numbers and then even by adding 3 to them.
Answer: number 7. 7
Step-by-step explanation:
Simplifying
7X + 1 + -5X = 15
Reorder the terms:
1 + 7X + -5X = 15
Combine like terms: 7X + -5X = 2X
1 + 2X = 15
Solving
1 + 2X = 15
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 2X = 15 + -1
Combine like terms: 1 + -1 = 0
0 + 2X = 15 + -1
2X = 15 + -1
Combine like terms: 15 + -1 = 14
2X = 14
Divide each side by '2'.
X = 7
Simplifying
X = 7
