Step : You should now have four terms Directions: Factor each polynomial. 2x2 + 17x + 21

Mathematics

1 answer:

solmaris [256]3 years ago

6 0

Answer:

(x + 7)(2x + 3)

Step-by-step explanation:

Given

2x² + 17x + 21

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 2 × 21 = 42 and sum = + 17

The factors are + 14 and + 3

Use these factors to split the x- term

2x² + 14x + 3x + 21 ( factor the first/second and third/fourth terms )

= 2x(x + 7) + 3(x + 7) ← factor out (x + 7) from each term

= (x + 7)(2x + 3) ← in factored form

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Find the perimeter of triangle ABC.

Harlamova29_29 [7]

By definition, the perimeter of the triangle is the sum of its sides.
We must then use the formula of distance between points:
$d = \sqrt{(x2-x1) ^ 2 + (y2-y1) ^ 2}$
We now look for the longitus for each of the sides:

For L1:
$L1 = \sqrt{(6-2)^2 + (6-2)^2}$
$L1 = \sqrt{32} 
$
$L1 = 4\sqrt{2}$

For L2:
$L2 = \sqrt{(7-2)^2 + (-3-2)^2}$
$L2 = \sqrt{50}$
$L2 = 5\sqrt{2}$

For L3:
$L3 = \sqrt{(7-6)^2 + (-3-6)^2}$
$L3 = \sqrt{82}$

Then, the perimeter is given by:
P = L1 + L2 + L3
Substituting values we have:
$P = 4\sqrt{2} + 5\sqrt{2} + \sqrt{82} 

P = 9\sqrt{2} + \sqrt{82}$

Answer:
the perimeter of triangle ABC is:
none of the above.

5 0

3 years ago

Read 2 more answers

Please! Need help! Please answer 6 through 10! Brainliest! As a reward!

True [87]

Answer:

6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in

Step-by-step explanation:

6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:

1/2(10)=5

5*12=60 cm

72 is closest to this.