Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
19/50
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Answer:
A) 37:191
B)191:154
Step-by-step explanation:\
A) Mary's Savings= 185 Rs
Mary's Income= 955 Rs
Ratio = 185:955
= 185/955
=37/191 ( INTO LOWEST TERMS )
=37:191
B) Mary's Income= 955 Rs
Mary's Expenditure= ?? = Income- Saving = 955-185= 770
Ratio= 955:770
= 955/770
= 191/154 ( INTO LOWEST TERMS )
= 191:154
#a
m<5=40°
#b
m<2=140
#c
<5 and <2 are linear pair(looked properly in diagram) Hence they are supplementary.
#d
<5 and 2 are same side interior angles (Clearly shown on diagram .
- We can call them co responding interior angles and their sum will be 180 if lines are parallel
#e
a||b
Let's verify
Let the angle below <1 be <3
Now
<2+<3=180
<5+<4=180

Hence verified