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RoseWind [281]
4 years ago
14

2y +6=3y+8 Verify it and explain step by step?

Mathematics
1 answer:
Over [174]4 years ago
4 0
-6

2y = 3y + 2

-3y

-y = 2 so y = -2
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If f(x) =2x+3 then the point (1,5) is on the graph of f true or false
ss7ja [257]
F(x)=y=2x+3
P (1,5)
Substitute x and y:
5=2*(1)+3
5=5 true
Point P (1,5) is on the graph of f.
3 0
3 years ago
(3a) (a^-3) please help I'm very confused if possible please show your work! <:D
kupik [55]

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (3a)(a^{-3})\implies 3a\cdot \cfrac{1}{a^3}\implies \cfrac{3a}{a^3}\implies \cfrac{3~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{aa~~\begin{matrix} a \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{3}{a^2}

5 0
3 years ago
The equation below describes a proportional relationship between x and y. What is the constant of? proportionality? y equals thr
lilavasa [31]

Answer:

The given equation is

          y =\frac{3}{7} x

→ \frac{y}{x} = \frac{3}{7}

reciprocating both sides, we get

→ \frac{x}{y}  =  \frac{7}{3} ............(1)  

→ Here x and y are Directly proportional to each other.

which means ,

→ x =  k y , where k is constant of proportionality.

Or , \frac{x}{y} = k  ............................(2)

Equating (1) and (2),

k = \frac {7}{3}  




5 0
3 years ago
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Nadya [2.5K]
At start:   PE only

At end:  KE and energy lost to friction


PE = KE + E
E  = PE - KE
    = mgh - (1/2)mv^2
    = (40)(9.8)(12) - (.5)(40)(10)^2
    = 2704J

4 0
4 years ago
Given that sinΘ = 1/2 and that Θ lies in quadrant II, determine the value of cosΘ.
amm1812

With \theta in quadrant II, we expect to have \cos\theta. Then

\cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}

\implies\cos\theta=-\dfrac{\sqrt3}2

7 0
3 years ago
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