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3 years ago

How do you simplify(3x+4y)^2 ?

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

Answer:

(3x−4y)^2

Step-by-step explanation:

Rewrite

(3x−4y)2 as

(3x−4y)(3x−4y)

(3x−4)(3x−4y)

Expand

(3x−4y)(3x−4y)

3x(3x)+3x(−4y)−4y(3x)−4y(−4y)

Simplify and combine like terms.

9^2−24xy+16y^2

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

What is the solution set of this inequality?

Gnoma [55]

Answer:

$x\ge \:4$

Step-by-step explanation:

$8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4$

8 0

3 years ago

QUESTION 1

GREYUIT [131]

Answer:

i dont know

Step-by-step explanation:

....

7 0

3 years ago

What property was used on 14k + 2 (3k+5) -5 = 10 to obtain 14k + 6k +10 - 5 =10

Elis [28]

$\boxed{\text{The distributive property}}\\\\\text{In order to solve the equation, you would have to first use the }\\\text{distributive property:}\\\\14k + 2 (3k+5) -5 = 10\\\\\text{Distribute the 2 to the variables inside the parenthesis}\\\\14k+6k+10-5=10\\\\\text{You can see that your outcome matches the equation in the question}\\\\\text{Therefore, the distributive property would be your answer}$