Simplifying
7(42x + -8) = 17(49 + x)
Reorder the terms:
7(-8 + 42x) = 17(49 + x)
(-8 * 7 + 42x * 7) = 17(49 + x)
(-56 + 294x) = 17(49 + x)
-56 + 294x = (49 * 17 + x * 17)
-56 + 294x = (833 + 17x)
Solving
-56 + 294x = 833 + 17x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-17x' to each side of the equation.
-56 + 294x + -17x = 833 + 17x + -17x
Combine like terms: 294x + -17x = 277x
-56 + 277x = 833 + 17x + -17x
Combine like terms: 17x + -17x = 0
-56 + 277x = 833 + 0
-56 + 277x = 833
Add '56' to each side of the equation.
-56 + 56 + 277x = 833 + 56
Combine like terms: -56 + 56 = 0
0 + 277x = 833 + 56
277x = 833 + 56
Combine like terms: 833 + 56 = 889
277x = 889
Divide each side by '277'.
x = 3.209386282
Simplifying
x = 3.209386282
The circumference of the circle is 762π cm.
<h3>What is length of arc of a circle?</h3>
The length of arc a circle can is determined with the radius and central angle of the arc.
The radius of the circle is calculated as follows;
The circumference of the circle is calculated as follows;
Learn more about circumference of a circle here: brainly.com/question/9782777
Y = kx
8 = -32k
k = -8/32 = -1/4
y = -1/4 (64)
y = -16
Answer :
The proof is as follows :
Step-by-step explanation:
Let NC = x
⇒ AB = 3x and AN = 2x
In Δ ABN, By using Pythagoras theorem,
AB² = BN² + AN²
⇒ BN² = AB² - AN²
⇒ BN² = (3x)² - (2x)²
⇒ BN² = 5x²
⇒ BN = x√5 .......................(1)
Now in ΔANC , Using Pythagoras theorem We have,
AC² = NC² + AN²
⇒ AC² = x² + (2x)²
⇒ AC² = 5x²
⇒ AC = x√5 ....................(2)
From equations (1) and (2) We get,
AC = BN , which is our required result
8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾
because, when you are adding 3/4
8 times, you are 3/4 plus itself,
eight times,
so you are doing 3/4*8
