Answer:
Step-by-step explanation:
<u>Shaded area is the difference in the areas of big and small circles.</u>
- Circle area formula: A = πr²
- A = π(5²) - π(3²) = π(25 - 9) = 16 π = 50.2654824574 ≈ 50.27cm²
ion even know yet
gyfujkl;kjbhvgfcdxsrtuiokl;, nbvghjkjhbgyu
The value of 5 in 756 is Tens because if you draw a place value chart it show that 5 is in the tens place.
(A ) This is a straight line graph.
The equation of a straight line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 1 ) and (x₂, y₂ ) = (-2, - 3 ) ← 2 points on the line
m = = = 2
The y-intercept = (0, 1 ) ⇒ c = 1
f(x) = 2x + 1 ← function rule
(B)
To evaluate f(2), substitute x = 2 into the rule
f(2) = (2 × 2 ) + 1 = 4 + 1 = 5
As a check (2, 5 ) is a point on the graph
<span>Simplifying
7(2e + -1) + -3 = 6 + 6e
Reorder the terms:
7(-1 + 2e) + -3 = 6 + 6e
(-1 * 7 + 2e * 7) + -3 = 6 + 6e
(-7 + 14e) + -3 = 6 + 6e
Reorder the terms:
-7 + -3 + 14e = 6 + 6e
Combine like terms: -7 + -3 = -10
-10 + 14e = 6 + 6e
Solving
-10 + 14e = 6 + 6e
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-6e' to each side of the equation.
-10 + 14e + -6e = 6 + 6e + -6e
Combine like terms: 14e + -6e = 8e
-10 + 8e = 6 + 6e + -6e
Combine like terms: 6e + -6e = 0
-10 + 8e = 6 + 0
-10 + 8e = 6
Add '10' to each side of the equation.
-10 + 10 + 8e = 6 + 10
Combine like terms: -10 + 10 = 0
0 + 8e = 6 + 10
8e = 6 + 10
Combine like terms: 6 + 10 = 16
8e = 16
Divide each side by '8'.
e = 2
Simplifying
<span>e=2
</span></span>
(sorry, i went into depth)