Answer:X1=1+-1+i(2)^1/2
x2=-1-i(2)^1/2
Step-by-step explanation
y=y
-2x+1=-x^2+4
x^2+4+2x-1=0
x^2+2x+3=0
Use
Ax^2+Bx+C=0
X1,X2=[-B+(B^2-4*A*C)^1/2]/2*A
A=1
B=2
C=3
x=[-2+/-(2*2-12)^1/2]/2
x=[-2+/-(-8`)^1/2]/2
x=[-2+/-2i(2)^1/2]/2
x1=-1+i(2)^1/2
x2=-1-i(2)^1/2
Answer:
∠ 1 = ∠ 3 = 33°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and are supplementary , thus
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 147° = 180° ( subtract 147° from both sides )
∠ 3 = 33°
∠ 1 and ∠ 3 are vertical angles and congruent, thus
∠ 1 = ∠ 3 = 33°
<span>5x - 3y= -15
3y = 5x + 15
y = 5/3 x + 5
answer
slope m = 5/3
y intercept = 5</span>
Answer:
Option B
Step-by-step explanation:
To solve this, the Pythagorean Theorem is needed. For option A, to make the statement true, 4 squared plus 7 squared MUST equal 9 squared. So, if you take 16 and add 49 to it you do NOT get 81.
For option B, 5 squared plus 12 squared is the same as 25 plus 144. That equals 169, which IS 13 squared.
It is not option C because 20 squared plus 22 squared doesn't equal 24 squared
The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2
<h3>What is the average rate of change the function?</h3>
The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.
It is expressed as;
Given the data in the question;
- f( x ) = x² + 7x + 6
- Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]
Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )
Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )
Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )
Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )
Average rate of change = ( 0 + 6 ) / ( 3 )
Average rate of change = 6 / 3
Average rate of change = 2
Therefore, the average rate of change of the function is 2.
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