Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
Answer:
y=2x
Step-by-step explanation:
We need to first find the slope. Lets get two points and apply the slope formula.
(1,2) and (2,4)
Rise: 2
Run: 4
Slope: 2
Then, lets use the standard way of showing a linear equation.
y=mx+b
y=2x+0
Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:
here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:
from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180
10 and 180 can be resolved: 180 divided by 10 = 18
finally, both 20 and 18 are multiples of 2 and can be resolved:
Option (E)
r=3, n=6:
Option (D)
r=4 n=7
Option (C)
r=2 n=x
Option (D)
r=y n=x
Option (E)
Answer:
The greatest multiple of 14 and 21 is 7.
Step-by-step explanation:
1,2,<u>7</u>,14
1,3,<u>7</u>,21
Hope it helps!
Answer:
68º
Step-by-step explanation:
This is a quadrilateral and all degrees in every quadrilateral have to add up to 360º.
81º + 135º + 76º = 292º
360º - 292º = 68º
Therefore, x = 68º
