Answer:
20
Step-by-step explanation:
hope this helps
Equation given:
15x - 6y = 48
First, turn 15x into -15x and plug it into 48.
15x - 6y = 48
-15x -15x
The equation should look like this:
-6y = -15x + 48
Divide -6y to 48 and -15x.
y = - 8
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²Θ = 1 - cos²Θ , cos²Θ = 1 - sin²Θ
Consider the left side
(sinΘ + cosΘ)(1 - sinΘcosΘ) ← distribute
= sinΘ(1 - sinΘcosΘ) + cosΘ(1 - sinΘcosΘ)
= sinΘ - sin²ΘcosΘ + cosΘ - sinΘcos²Θ
= sinΘ - (1 - cos²Θ)cosΘ + cosΘ - sinΘ(1 - sin²Θ)
= sinΘ - cosΘ + cos³Θ + cosΘ - sinΘ + sin³Θ ← collect like terms
= sin³Θ + cos³Θ
= right side ⇒ proven
Answer:
x = 10
IJ = 32
Step-by-step explanation:
Since J is between I and M, JM and IJ combined gives you IM.
JM + IJ = IM
18 + 3x + 2 = 5x
20 + 3x = 5x
20 + 3x - 3x = 5x - 3x
20 = 2x
20/2 = 2x/2
10 = x
Now that you have x, you can find IJ
IJ = 3x + 2
IJ = 3(10) + 2
IJ = 30 + 2
IJ = 32
H / 3 - 8h / 3 + 12 = 2h / 3 - 6 <=>
2h / 6 - 16h / 6 - 4h / 6 = - 108 / 6<=>
-18h / 6 = -108 / 6 <=>
-18h = - 108 <=>
h = 108 / 16 <=>
h = 27 / 4 <=>
h = 6.75.