Any odd integer can be expressed as 2n+1, for some integer n.
The next odd integer, after 2n+1, is 2n+1+2=2n+3
thus 9x=2n+1, means that 9x-1=2n, so n=(9x-1)/2
the next odd number after 2n+1 is 2n+3= 2* (9x-1)/2+3=9x-1+3=9x+2
Remark : this result could also have been found directly.
Answer: 9x+2
Hello.
<span>Reorder the terms:
-6 + y = 4(x + 5)
Reorder the terms:
-6 + y = 4(5 + x)
-6 + y = (5 * 4 + x * 4)
-6 + y = (20 + 4x)
Solving
-6 + y = 20 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + y = 20 + 6 + 4x
Combine like terms: -6 + 6 = 0
0 + y = 20 + 6 + 4x
y = 20 + 6 + 4x
Combine like terms: 20 + 6 = 26
y = 26 + 4x
Simplifying
y = 26 + 4x
</span>x-intercept: <span><span>(−<span>132</span>,0)</span><span>(-<span>132</span>,0)</span></span>y-intercept: <span>(0,26<span>)
Have a nice day</span></span>
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
<u>answers to 1 - 4:</u>
1.<em> </em><em>GCF: </em>2
2. <em>GCF:</em> 3
3. <em>GCF : </em>7
4.<em> GCF:</em> 3
