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kiruha [24]
2 years ago
7

Branliest to correct answer no guessing please

Mathematics
1 answer:
Ann [662]2 years ago
3 0

Answer:

THE CORRECT IS B(a and b)= p(A).P(B)

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Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the
tigry1 [53]
The width of the driveway is 5x-2.
The height of the carport is 6x+1.

We complete polynomial long division for both of these.  

For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x².  It goes in 5x times; we write this in the division problem above 43x.  Multiplying back through, 
5x(x+9) = 5x²+45x.  This goes below 5x²+43x.  We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier.  Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times.  This goes beside our 5x in our answer at the top.  Multiplying back through,
-2(x+9) = -2x-18.  This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.

For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³.  It will go 6x times; write this above -8x.  Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x.  Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18.  Bring down the -3.
Now we want to see how many times 8x² will go into 8x².  It goes 1 time; write this beside our 6x at the top.  Multiplying back through, 
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down.  When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
4 0
3 years ago
Read 2 more answers
What does 4 raised to the 3/2 power equal?
GarryVolchara [31]
The answer to the question is 8
8 0
3 years ago
Read 2 more answers
What are the solutions of this system of equations?
SpyIntel [72]

Answer:

Option C is correct.

Step-by-step explanation:

y = x^2-x-3     eq(1)

y = -3x + 5      eq(2)

We can solve by substituting the value of y in eq(2) in the eq(1)

-3x+5 = x^2-x-3

x^2-x+3x-3-5=0

x^2+2x-8=0

Now factorizing the above equation

x^2+4x-2x-8=0

x(x+4)-2(x+4)=0

(x-2)(x+4)=0

(x-2)=0 and (x+4)=0

x=2 and x=-4

Now finding the value of y by placing value of x in the above eq(2)

put x =2

y = -3x + 5

y = -3(2) + 5

y = -6+5

y = -1

Now, put x = -4

y = -3x + 5

y = -3(-4) + 5

y = 12+5

y =17

so, when x=2, y =-1 and x=-4 y=17

(2,-1) and (-4,17) is the solution.

So, Option C is correct.

7 0
3 years ago
Read 2 more answers
The number by which the dividend is being divided? Means?
Ann [662]
That would be called the quotient.
7 0
3 years ago
Read 2 more answers
A. x=45°,y=13.1x=45°,y=13.1
Kryger [21]
<span>b. x=30°,y=13.1x=30°,y=13.1</span>
5 0
3 years ago
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