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2 years ago

If B=3x^{2}-x+3 and A=x-6, find an expression that equals 2B+3A in standard form.

Mathematics

1 answer:

Ivan2 years ago

7 0

9514 1404 393

Answer:

6x^2 +x -12

Step-by-step explanation:

Substitute for A and B and collect terms.

2B +3A

= 2(3x^2 -x +3) +3(x -6) . . . . substitute for A and B

= 6x^2 -2x +6 +3x -18 . . . . . eliminate parentheses

= 6x^2 +x -12 . . . . . . . . . . . . collect terms

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A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and

Elden [556K]

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

$20 \sqrt{10}$

7 0

1 year ago

Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

7 0

2 years ago

Which sequence follows the rule an =an–1 + 7?

Akimi4 [234]

Answer:

Step-by-step explanation:

using the rule : $a_{n}$ = $a_{n-1}$ + 7

sequence A with a₁ = 11

a₂ = a₁ + 7 = 11 + 7 = 18

a₃ = a₂ + 7 = 18 + 7 = 25

a₄ = a₃ + 7 = 25 + 7 = 32

sequence A is generated using the rule

sequence B with a₁ = 17

a₂ = a₁ + 7 = 17 + 7 = 24

a₃ = a₂ + 7 = 24 + 7 = 31

a₄ = a₃ + 7 = 31 + 7 = 38

sequence B is not generated using the rule

sequence C with a₁ = - 15

a₂ = - 15 + 7 = - 8

a₃ = a₂ + 7 = - 8 + 7 = - 1

a₄ = a₃ + 7 = - 1 + 7 = 6

sequence C is not generated using the rule

sequence D with a₁ = - 9

a₂ = a₁ + 7 = - 9 + 7 = - 2

a₃ = a₂ + 7 = - 2 + 7 = 5

a₄ = a₃ + 7 = 5 + 7 = 12

sequence D is not generated using the rule

7 0

2 years ago

HELP!!

Sergio [31]

It would end up being 2 dollars and 45 cents

6 0

2 years ago

Use the Euclidean Algorithm to find the greatest common divisor of the polynomials f(x) = x^3 + 3x^2 + 6x + 1 and g(x) = 5x^4 +

fomenos

Answer:

3x+1.

Step-by-step explanation:

First we divide g(x)/f(x) (the process is in the first image):

5x-15 in Z7[x] is 5x-1 and $17x^2+86x+16$ is $r(x)= 3x^2+2x+2$ in Z7[x]. So

g(x)/f(x) = $(5x-1)(x^3+3x^2+6x+1)+3x^2+2x+2$

Now gcd(g,f) = gcm(f,r).

f(x)/r(x) = $5x(3x^2+2x+2) + 3x+1$

Then, gcd(f,r) = gcd(r,3x+1).

r/(3x+1) = $(x+5)(3x+1) +4$

Then, gcd(r, 3x+1) = gcd(3x+1,4) = 3x+1.

So, gcd(f,g) = 3x+1.

5 0

3 years ago