Y= mx +b slope intercept form.
b= 60, now do rise over run to find m
4/4= 1, m=1
Final equation: y=1x+60
Answer:
0.15% decrease
Step-by-step explanation:
18.75 - 18.60 = 0.15
Hope this helped!
Answer:
d = 289
Step-by-step explanation:
The circumference is given by
C = pi *d
907.46 = pi *d
Using 3.14 for pi
907.46 = 3.14 d
Divide each side by 3.14
907.46 /3.14= 3.14 d/3.14
289 = d
Answer:
steps below
Step-by-step explanation:
f(x) = x⁷ – 6x⁶ + 8x⁵
f'(x) = 7x⁶ - 36x⁵ + 40x⁴
= x⁴ (7x² - 36x + 40) ... (1)
Critical point (x,y): x = 0 , x = (36 ± √(-36)²-4*7*40) / (2*7) = (18±2√11) / 7
x = 0 or x = 3.5 or x = 1.6
plug into (1): y = 0 , y = -394.3 , y = 10.1
extreme : <u>maximum (1.6 , 10.1)</u> <u>minimum (3.5 , -394.3)</u> ... turning points
x⁷ – 6x⁶ + 8x⁵ = x⁵ (x² - 6x + 8) = x⁵ (x-2) (x-4) =0
<u>real zeros: x = 0, x=2, x=4</u>
Answer:
The Proof is below.
Step-by-step explanation:
Given:
ABCD is a Parallelogram
Construction:
Draw diagonal AC
To Prove:
AB ≅ CD
BC ≅ DA
Proof:
ABCD is a Parallelogram. ...............Given
BC || DA ........Opposite sides of Parallelogram are Parallel
AB || CD ........Opposite sides of Parallelogram are Parallel
Now,
In ΔABC and ΔCDA
∠BCA ≅ ∠DAC ...……….{Alternate Angles are equal since BC || DA}
∠BAC ≅ ∠DCA …………..{Alternate Angles are equal since AB || CD}
AC ≅ AC …....…….{Reflexive Property}
ΔABC ≅ ΔCDA ..........….{By Angle-Side-Angle Congruence Postulate}
AB ≅ CD ....{Corresponding parts of Congruent Triangles are Congruent}
BC ≅ DA ....{Corresponding parts of Congruent Triangles are Congruent}