Answer:
Step-by-step explanation:
α and β are Supplementary (given)
It is given that:
Plugging the value of α in equation (1), we find:
So,

Answer:
-24xy+ 162x²y +168xy²
Step-by-step explanation:
[4-7(3x+4y)] • 3x(-2y) =
(4-21x-28y) • (-6xy)=
4•(-6xy) -21x•(-6xy)-28y•(-6xy)=
-24xy+ 162x²y +168xy²
Answer:
177.3 feet
This is a classic find the vertex of a parabola question.
if this was a calculus class the solution would be to take the derivative and set it equal to zero... -32t+ 105 = 0
BUT i assume that you are not in a calculus class..
so we try plan "B" the highest (or lowest) point of parabola is it's vertex
the vertex formula is [-b/2a,f(-b/2a)]
in your problem a = -16, b=105, c= 5
so the "X" (TIME) is located at -(105)/(2*-16) = 3.28
plug in 3.28 into -16(3.28)^2 + 105(3.28) + 5 = 177.27
and you will get
Step-by-step explanation:
<span>Solve for d.
5+d>5−d Subtract 5 from both sides of this inequality:
d>d There is no value for d that satisfies this inequality.
No value can be greater than itself.
</span><span>Solve for p.
2p+3>2(p−3) Multiply this out: 2p+3>2p-6
</span><span> Subtr 3 from both sides: 2p> 2p-9
This is equivalent to 2p+9>2p.
We could subtr. 2p from both sides: 0>-9.
0> -9 is always true. Thus, the given inequality has infinitely many solutions.
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