<span>4(x+5) = 4x +5x
Simplify by distributing and combining like terms
</span>(4)(x)+(4)(5)=4x+5x
4x+20=4x+5x
4x+20=(4x+5x)
4x+20=9x
Subtract 9x from each side
4x+20−9x=9x−9x
5x+20=0
<span />
Subtract 20 from each side
−5x+20−20=0−20
−5x=−20
Divide each side by -5
-5x ÷ -5 = -20 ÷ -5
x = 4
P.S this was actually harder than most algebra problems, so don't beat yourself about it :D<span /><span /><span /><span /><span />
Answer:
We have sin² x + cos² x =1 for all real x.
Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².
However, remember that if x² = a², then x can be +a or –a.
Therefore, sin x can be either –15/17 or +15/17.
Everyone but Anirban so far has forgotten the negative solution.
Step-by-step explanation:
Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.
This is my first time on this app but this question doesn’t look to hard i’m ok at math but not that good at showing my work
Isosceles triangles have to equal sides
and each side is 5 cm greater than the base
you know the perimeter is 46
i would use basic algebra
x = base
46 = 2(x +5) + x
the 2(x +5) is the equal sides
46 = 2(x+5) + x
using distributive property
46 = 2x + 10 + x
add the common variable
46 = 3x + 10
now it’s easy
3x = 46 - 10
3x = 36
x = 36 / 3
x = 12
now that we got x (base)
we know that the equal sides are 5 cm longer than the base
12 + 5 = 17
since there are 2 sides and they are equal they are both 17
so each side of the triangle would be
1. 17 cm
2. 17 cm
3. 12 cm
to check you should be able to add them all together and get 46
17 + 17 + 12 = 46
