4x2 + 28x + 49 = 0
(x+) =
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer:
x = - 3.5
Step-by-step explanation:
cot (–270°) = 1
cot (–270°) = –1
cot (–270°) = 0
undefined
Answer:
cot(-270) = 0
Step-by-step explanation:
given cot ( -270)
In trigonometry function we will use cot ( -x) = -cotx
so cot (-270) = - cot270
trigonometry table
II quadrant I quadrant ( All positive)
sin θ 90+θ 90 -θ
cosec θ 180-θ 360+θ
third quadrant fourth quadrant
tan θ 180+θ cos θ 270+θ
cot θ 270 - θ sec θ 360-θ
Given
cot (-270) = -cot ( 270)
= - cot ( 180 + 90) (third quadrant above table)
= -cot 90 =0 ( cot θ positive in third quadrant
Final answer:-
cot(-270) =0
The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.
To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.
At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.
#SPJ12
a. Her uncle leaves her 20 thousand pounds
c. She write a book that is published
b. Parent's from the school reward her for her work
Please select the best answer from the choices provided
How many time should the graph of this function intersect at the x-axis?
A. 3
B. 2
C. 1
D. 0
If you choose x = 0, then we have 4 = Q(0)*0 + a*0 + b, therefore b = 4.
If we choose x = -3, then we have:
The remainder is: 4x+4.
Green eyes.