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3 years ago

49x^2 + 42xy + 9y^2 Factor completely.

2 answers:

8 0

49x^2+42xy+9y^2

To factor a quadratic of the form ax^2+bx+c, you must find two values, j and k, which satisfy two conditions:

jk=ac=441 and j+k=42, so j and k must be 21 and 21.

Now replace bx with jx and kx in the original equation.

49x^2+21xy+21xy+9y^2 now factor 1st and 2nd pair of terms...

7x(7x+3y)+3y(7x+3y) which is equal to

(7x+3y)(7x+3y) which is equal to

(7x+3y)^2

mario62 [17]3 years ago

6 0

(7x-3y)^2 hope this helps

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3 years ago

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3 years ago

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2 years ago

Please solve these equations much appreciated

Reptile [31]

Answer:

Part c) $V=16,500\ m^3$

Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

h is the height of pyramid

Find the area of the base B

$B=(60)(15)=900\ m^2$

$h=55\ m$

substitute

$V=\frac{1}{3}(900)(55)$

$V=16,500\ m^3$

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

$V=\pi r^{2}h$

we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

Find the approximate value

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

7 0

3 years ago

2^8-10-15\div3=2 8 −10−15÷3=

Cloud [144]

We want to evaluate the expression:

We follow the order of operations: PEMDAS
Since there are no parenthesis(P), we evaluate the exponents(E)

Next is Division (D)

We can then simplify since we have only subtraction.(S)

Therefore:

3 0

3 years ago