2. Dividing exponential expression with the same base is what the left hand fractional expression is. Z^8/Z^?=z^6. Since all the bases are the same. To get the exponential power 6 on the right we subtract the denominator’s (bottom part of the fraction) exponential power (on the left) from the numerator’s (top part) exponential power.
Then, 8 - ? = 6? 2 is the only number to make the left equal the right side. This, z^8/z^2=z^6
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
<u>Part 1</u>
By the inscribed angle theorem, arc PA measures 62 degrees.
<u>Part 2</u>
Angles inscribed in the same arc are congruent, so angle PRA measures 31 degrees.
<u>Part 3</u>
Diameters form semicircles, and the arc of a semicircle measures 180 degrees, so arc PAR measures 180 degrees.
<u>Part 4</u>
Subtracting arc PA from arc PAR, we get arc AR measures 118 degrees.
The order of operations tells you exponentiation is done before multiplication or addition. That is, the value of x is squared before the sign is applied.
Your result will be negative for any non-zero value of x.
Answer:
The "3y" in the first term is a factor
The "9" in the second term is a coefficient
The "(7 + 2x)" in the first term is a factor
Step-by-step explanation:
Given in the question an expression
3y(7 + 2x) + 9xy - 10
- The coefficients are the numbers that multiply the variables, x and y.
<h3>Example</h3>
6y
6 is coefficient
2.Constants are terms without variables
<h3>Example</h3>
10
3.The factors in a mathematical expression are parts of the expression that are connected with multiplication.
<h3> Example</h3>
(4x+1)(3x+7)
(4x+1) and (3x+7) both are factors
