Take everything to one side and equate it to zero
So: 5x^2 -x -1=0
Next factorise so it’s 5(x^2-1/5)-1=0
So: 5(x-1/5) ^2 -1=0
So complete the square
First of all remove the five by division (x- ((1/5)/2)^2+ (1/5/2)^2 ) -1 =0
So (x- 1/10)^2 +1/5 +1/100 =0
Answer is (x-1/10)^2 -21/100 =0
Take -21/100 to the other side so:
(x-1/10)^2 = 21/100
Square root both sides so
(X-1/10) = square root of 21/100
Take -1/10 to the other side so
X= 1/10 + square root of 21/100
The measure of the angle rst is
.
<h3>What is the inscribed quadrilateral theorem?</h3>
According to the theorem, a quadrilateral can be inscribed by a circle if and only if its opposing angles are supplementary. A quadrilateral that may be encircled by a circle is known as a cyclic quadrilateral.
The sum opposite angles of a quadrilateral is 180 degrees.
We can see that the angles rst and angle tqr are opposite angles of quadrilateral qrst, hence supplementary angles.
Therefore,
<RST + <TQR = 180
5x+15 + 4x+ 3 = 180
9x + 18 = 180
9x = 180 - 18
9x = 162
x = 162/9
x = 18
Since <RST = 5x+15
<RST = 5(18) + 15
<RST = 90 + 15
<RST = 105degrees
Learn more about cyclic quadrilateral at: brainly.com/question/14352697
#SPJ4
75 onion plants
To solve since 150 can plant 10 rows
you're to plant 5 you just divide 150/2 and you get the answer 75
Answer:
D) 36π
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
Given:
r = 3a²b³
Work:
V = 4/3πr³
V = 4/3π(3a²b³)³
V = 4/3π(27
)
V = 36π
Solution:
-6 - (-2) = -6 + 2 = -4