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padilas [110]
3 years ago
10

draw a triangle using the roots of _3x+5x+21=y, the associated vertex of the equation, and the x-axis, to format the sides of th

e triangle.
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0
3x+5x+21=y 
3x+5x=8x
8x+21=y
     -21  -21
8x=y-21
8x÷8=x
y-21÷8=y-2.625
x= -2.625 + 0.125 y
I think that is right... :)
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I AM IN DESPERATE NED OF QUICK HELP PLEASEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!
rosijanka [135]

Answer:

16

Step-by-step explanation:

To solve this equation, we need the formula for perfect squares:

  • (a + b)^2 = a^2 + 2ab + b^2

or

  • (a - b)^2 = a^2 - 2ab + b^2 <em>this is the formula we will use because the signs match the one in the question</em>.

Knowing these, we can set up an equation that assumes that the answer we will end up with is a perfect square.

Work:

(v - x)^2 = v^2 -8v + x^2

  • this is the setup for being able to solve for the unknown x, now we need to solve for x.

(v - x)^2 = v^2 - 8v + x^2 (I replaced 2ab with 8v because I'm setting up this question to be a perfect square).

(v - x) (v - x) = v^2 - 8v + x^2

  • multiply the left side. Remember that your answer will not be v^2 + x^2, but v^2 - 2vx +x^2.

v^2 - 2vx + x^2 = v^2 + 8v + x^2

  • Divide like terms and isolate the variable. In this case, v^2 and x^2 are on both sides, so dive them and they will be canceled out.

2vx = 8v

  • divide by 2v and you will have your value for x.

x = 4

  • Now we plug x into our original equation equation for perfect squares.

(v - 4)^2 = v^2 - 8v + 16

Our final answer is 16.

5 0
4 years ago
A =4 <br> 5<br><br> b =3<br> 2<br> Work out a - 2b as a column vector.
Umnica [9.8K]

Answer:

[-2; 1 ] is the new column vector

Step-by-step explanation:

See explanation in the attachment.

3 0
3 years ago
The annual salary for a computer technician at Company A ranges from $41,000 to $63,000, with a mean of $58,000. At Company B, t
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Answer:

Salaries for computer technicians at Company A vary more than salaries at Company B.

Step-by-step explanation:

The reason why salaries for computer technicians at Company A vary more than salaries at Company B.

Range of Company A = $63,000 − $41,000 = $22,000; Range of Company B = $65,000 − $45,000 = $20,000. → $22,000 > $20,000

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