9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
Range of y = -3 cosx -1 is -4 < y < 2
Answer:
3/4
Step-by-step explanation:
3x - 4y = 7.....subtract 3x from both sides
-4y = -3x + 7 ...now we divide both sides by -4
(-4/-4)y = (-3/-4)x + (-7/4)...simplify
y = 3/4x - 7/4
y = mx + b
y = 3/4x - 7/4.....so the number in the m position is 3/4 <== ur slope
Answer:
8c - 7r + 10p - 20e
Step-by-step explanation:
Subtract (20c + 15r + 75p + 50e) - (12c + 22r + 65p + 70e)
(20c + 15r + 75p + 50e) - (12c + 22r + 65p + 70e)
Open bracket
20c + 15r + 75p + 50e - 12c - 22r - 65p - 70e
Collect like terms
= 20c - 12c + 15r - 22r + 75p - 65p + 50e - 70e
= 8c - 7r + 10p - 20e
If in the triangle ABC , BF is an angle bisector and ∠ABF=41° then angle m∠BCE=8°.
Given that m∠ABF=41° and BF is an angle bisector.
We are required to find the angle m∠BCE if BF is an angle bisector.
Angle bisector basically divides an angle into two parts.
If BF is an angle bisector then ∠ABF=∠FBC by assuming that the angle is divided into two parts.
In this way ∠ABC=2*∠ABF
∠ABC=2*41
=82°
In ΔECB we got that ∠CEB=90° and ∠ABC=82° and we have to find ∠BCE.
∠BCE+∠CEB+EBC=180 (Sum of all the angles in a triangle is 180°)
∠BCE+90+82=180
∠BCE=180-172
∠BCE=8°
Hence if BF is an angle bisector then angle m∠BCE=8°.
Learn more about angles at brainly.com/question/25716982
#SPJ1
