Answer:

Step-by-step explanation:
<u>Answer:</u>
x = 5.00 cm
<u>Step-by-step explanation:</u>
• area of the rectangle =
x 
= 
• area of the circle = π r²
=
x 
=
x 
∴
+
x
⇒
+ 
⇒ 
• Using quadratic formula, where
a = 
b = 
c =
,



As length (x) cannot be a negative number,
x = 5.00 cm
Answer:
x = 12
y = 9
z = 11
Step-by-step explanation:
so, let's just do all the calculations in there :
(3×5)⁴ = 3⁴×5⁴
(2×3)⁵ = 2⁵×3⁵
(2×5)⁷ = 2⁷×5⁷
multiplying all 3 terms is then
3⁴×5⁴×2⁵×3⁵×2⁷×5⁷
more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.
so, for the base of 2 we have
2⁵×2⁷ = 2¹²
for the base of 3 we have
3⁴×3⁵ = 3⁹
fire the base of 5 we have
5⁴×5⁷ = 5¹¹
so we get
2¹² × 3⁹ × 5¹¹
=>
x=12
y=9
z=11
Answer:
Step-by-step explanation:
For equating the equations, you get
x2 + kx - 3x + 4 = 0 eq1
Setting the derivative of f(x) equal to 3 yields
f'(x) = 3
2x + k = 3 eq2
Now we substitute the value of k from eq2 into eq1.
x2 + x(3 - 2x) - 3x + 4 = 0
Solve for x from this equation. Then plug in the value of x into eq2 to solve for k
Answer:
--- You
--- Another student
Reason: Because there is a variation in the given dimensions
Step-by-step explanation:
Given
Your measurement

Another students'

Solving (a): The area
Area is calculated as:

For you


For the other student


Solving (b): Reason for the variation in the areas
The given measurements are estimates of the dimensions of the rectangle.
Since there is a variation in the estimates, there will be some level of variation in the calculated area.