Answer:
-z( 2z^3-5z^2+9z-1)
Step-by-step explanation:
Apply exponent rule: a^b+c=a^b*a^c
z^2=zz
z^3=z^2*z
z^4=z^3*z
Factor out common term z:
-z(2z^3-5z^2+9z-1)
Answer:
Step-by-step explanation:
<u>Given</u>
- m∠ABC = x°
- m∠BCD = 25°
- m∠CDE = 55°
- m∠DEF = 3x°
Add two more parallel lines passing through points C and D.
Consider alternate interior angles formed by the four parallel lines.
<u>The angles between the two middle lines are equal to:</u>
- m∠BCD - m∠ABC = m∠CDE - m∠DEF
<u>Substitute values and solve for x:</u>
- 25 - x = 55 - 3x
- 3x - x = 55 - 25
- 2x = 30
- x = 15
m∠ABC = 15°
J/4 - 8 < 4
<u> + 8 + 8 </u> *add 8 to both sides to cancel -8.
j/4 < 12
<u>*4/1 *4/1 </u> *multiply 4/1 to both sides to cancel 1/4
j < 48
j should be less than 48 to make the inequality true.
example: j = 47
j/4 - 8 < 4
47/4 - 8 < 4
11.75 - 8 < 4
3.75 < 4
Any number below 48 will end up with an answer less than 4. if j is 48 and above, the inequality is false because the answer arrived at will be equal to or greater than 4.
C
A line with undefined slope is a vertical line parallel to the y-axis, passing through all points with the same x-coordinate.
For this reason it's equation is x = c
where c is the value of the x-coordinate the line passes through
For (- 3, 5 ) the x-coordinate is - 3, hence
x = - 3 → is the equation of the line
