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Rus_ich [418]
4 years ago
14

Find the quotient 12a3p4 ÷ -2a2p

Mathematics
2 answers:
babunello [35]4 years ago
8 0
Your answer would be, -6ap^3
ss7ja [257]4 years ago
5 0
<span> 12a3p4 ÷ -2a2p

= - 6ap^3
.........................................</span>
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Please help asap
eimsori [14]

Answer:

The system of inequalities are

x - y < 1 and y < - 2

Step-by-step explanation:

The horizontal line shown in the graph has equation y = - 2 {As it is parallel to x-axis}

Now, this line is dotted and the lower portion of the graph is shaded.

So, the inequality will be y < - 2 ......... (1)

Again, another line is there in the graph which passes through the points (1,0) and (0,-1)

So, its equation will be \frac{y + 1}{- 1 - 0} = \frac{x - 0}{0 - 1}

⇒ y + 1 = x

⇒ x - y = 1

Now, the origin (0,0) is within shaded zone of the inequality and putting x = 0 and y = 0, we get

0 - 0 < 1

So, the equation of the inequality is x - y < 1 {As the line is dotted}

Therefore, the system of inequalities are

x - y < 1 and y < - 2 (Answer)

8 0
3 years ago
A recipe for 10 servings of raspberry sorbet calls for 2 cups of water, mc017-1.jpg cups of granulated sugar, and 4 cups of froz
Lana71 [14]

Answer: A: 4 gallons don't worry i got it correct.

5 0
3 years ago
Read 2 more answers
Can someone tell if it the first second third or fourth
Vikki [24]

Answer:

B.) Line ED Corespondes to line AD

Step-by-step explanation:

8 0
3 years ago
Are the two expressions equivalent ×=10? 5(3×+8) 8×+8
REY [17]
5(3*10+8)=190
8*10+8=88
 they are not equivalent , not equal
5 0
4 years ago
For which value(s) of the constant k is the circle x² + (y − k)² = 16 tangent to the line y = 3?
STALIN [3.7K]

<em>Answer:</em>

<em />

<em>Step-by-step explanation:Let us find points of intersection of line  </em>

<em>3 </em>

<em>x </em>

<em>+ </em>

<em>4 </em>

<em>y </em>

<em>− </em>

<em>k </em>

<em>= </em>

<em>0 </em>

<em> and circle  </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>y </em>

<em>2 </em>

<em>= </em>

<em>16 </em>

<em>. We can do this by putting value of  </em>

<em>y </em>

<em> from first equation i.e.  </em>

<em>y </em>

<em>= </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>4 </em>

<em> and we get </em>

<em> </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>( </em>

<em>k </em>

<em>− </em>

<em>3 </em>

<em>x </em>

<em>) </em>

<em>2 </em>

<em>16 </em>

<em>= </em>

<em>16 </em>

<em> </em>

<em>or  </em>

<em>16 </em>

<em>x </em>

<em>2 </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>9 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>= </em>

<em>256 </em>

<em> </em>

<em>i.e.  </em>

<em>25 </em>

<em>x </em>

<em>2 </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>x </em>

<em>+ </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>This would give two values of  </em>

<em>x </em>

<em> and corresponding two values of  </em>

<em>y </em>

<em> i.e. two points. But tangent cuts the circle in only at one point. This will be so when discriminant is zero i.e. </em>

<em> </em>

<em>( </em>

<em>− </em>

<em>6 </em>

<em>k </em>

<em>) </em>

<em>2 </em>

<em>− </em>

<em>4 </em>

<em>⋅ </em>

<em>25 </em>

<em>⋅ </em>

<em>( </em>

<em>k </em>

<em>2 </em>

<em>− </em>

<em>256 </em>

<em>) </em>

<em>= </em>

<em>0 </em>

<em> </em>

<em>or  </em>

<em>− </em>

<em>64 </em>

<em>k </em>

<em>2 </em>

<em>+ </em>

<em>25600 </em>

<em>= </em>

<em>0 </em>

<em> or  </em>

<em>k </em>

<em>= </em>

<em>± </em>

<em>20 </em>

<em> </em>

<em>graph{(x^2+y^2-16)(3x+4y-20)(3x+4y+20)=0 [-10, 10, -5, 5]}</em>

5 0
4 years ago
Read 2 more answers
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