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2 years ago

Find the product of (7m+8n)(7m−8n)

Mathematics

1 answer:

Anon25 [30]2 years ago

6 0

Answer:

7m-7m=8n+8n

m=16n

Step-by-step explanation: U must first link the like terms so in order to do so u must bring over the 7m, now before u brought over the 7m it was a positive 7m now that your bring it over it turns negeitive and the same goes for the term 8n when u carry that term over it turns positive now dont let the subtraction sign foul u it still negative as long as its beside the term it is going to be negative guys dont forget that, now on to the next step after u cross over and change signs u start to work out now that the like terms are equal u dont need to worry about them because its given u the go ahead to workout so your main focus is on the subtracting the 7's which is 0 and leaves u with m u dont have to put them but i dont recommend it the u start on the next side u and the 8's which is 16 and u put bk the n u have to put bk the terms its important and thats how u get m=16n.

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6 sweets cost 24p all together how much do 5 sweets cost

Vlada [557]

Cost of 6 sweets = 24p

so, cost of 1 sweet = 24p/6 = 4p

Now, cost of 5 sweets will be =4p*5 = 20p

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3 years ago

Use the net to determine the total surface area. The net of a prism with width 10 inches, length 5 inches, and height 7 inches i

leva [86]

We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared

The answer is 310 in2.

6 0

2 years ago

Read 2 more answers

Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6

Alla [95]

Given:

The expression is:

$2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

$m+n=-6$

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

$P(x)=2x^3+mx^2+nx+c$

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

$P(2)=P(-1)$ ...(i)

Substituting $x=-1$ in the given polynomial.

$P(-1)=2(-1)^3+m(-1)^2+n(-1)+c$

$P(-1)=-2+m-n+c$

Substituting $x=2$ in the given polynomial.

$P(2)=2(2)^3+m(2)^2+n(2)+c$

$P(2)=2(8)+m(4)+2n+c$

$P(2)=16+4m+2n+c$

Now, substitute the values of P(2) and P(-1) in (i), we get

$16+4m+2n+c=-2+m-n+c$

$16+4m+2n+c+2-m+n-c=0$

$18+3m+3n=0$

$3m+3n=-18$

Divide both sides by 3.

$\dfrac{3m+3n}{3}=\dfrac{-18}{3}$

$m+n=-6$

Hence proved.

7 0

2 years ago

6 yd 4 yd 7 yd 4 yd Perimeter: Area: Help me find the area and the permiter

morpeh [17]

Step-by-step explanation:

Assuming figure to be trapezoid,

Perimeter=6+4+7+4yd

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=(13/2)x(16-0.25)

=6.5 x 15.75

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2 years ago

Please help!!! Will give brainly!! 50 points

lara31 [8.8K]

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2 years ago