L

Mathematics

1 answer:

qwelly [4]3 years ago

5 0

Answer:

B, C, D, E

Step-by-step explanation:

The length of the third side will be between 12-7 = 5 and 12+7 = 19. The answer choices in that range are ...

B. 17

C. 7

D. 9

E. 11

Side lengths A(5) and F(3) are too short.

______

For more on the subject, see ...

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Solve the simultaneous equations C^2+d^2=5 and 3c+4d=2

Naily [24]

If 3c+4d=2 then c=(2-4d)/3
And if you put that into the other equation
${\frac{2 - 4d}{3}}^{2} + {d}^{2} = 5$
Then you multiply everything by 3, getting

${(2 - 4d)}^{2} + 3 {d}^{2} = 15$
And then

$2 - 4d + \sqrt{3} d = \sqrt{15}$
Leaving
$d( \sqrt{3} - 4) = \sqrt{15} - 2$
I dont have a calc with me right now but you just pot this into the calculator:
$d = \frac{ \sqrt{15} - 2 }{ \sqrt{3} - 4}$
And when you get the number you insert it into the nest eqation to get c

$c = \frac{2 - 4d}{3}$
So basically

$c = \frac{2 - 4 \frac{ \sqrt{15} - 2}{ \sqrt{3} - 4} }{3}$

6 0

3 years ago

Read 2 more answers

Simplify by finding the product of the polynomials below. Then Identify the degree of your answer. When typing your answer use t

nexus9112 [7]

Solution:

Given:

$(2x^2+2x+1)(4x-1)$

To get the product of the polynomial; we use the distributive property of multiplication.

$a(b+c)=ab+ac$

$\begin{gathered} (4x-1)(2x^2+2x+1) \\ 4x(2x^2+2x+1)-1(2x^2+2x+1) \\ =8x^3+8x^2+4x-2x^2-2x-1 \\ \text{Collecting similar terms together and simplifying further;} \\ =8x^3+8x^2-2x^2+4x-2x-1 \\ =8x^3+6x^2+2x-1 \end{gathered}$

Therefore, the product of the polynomials is;