Solve the following equation by transforming it into a perfect square trinomial.* 3x2 + 12x = 63

Answers

Answer 1

Answer: $3x^2 + 12x = 63\n \n3x^2+12x-63=0\n \n3(x^2+4x-21)=0\n \n3[x^2+4x+3x-3x-21] =0 \n \n3[x^2+7x-3x-21] =0 \n \n3[x(x +7 )-3(x+7)] =0$

$3 (x +7 ) (x-3) =0 \n \nx+7=0 \ \ \ or \ \ \ x-3 =0\n \nx=-7 \ \ \ or \ \ \ x=3$

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4% as a decimals a decimal point

Answers

4% = .04 as a decimal because 40%= .4

Morgan writes the expression 5(2 + 1) 2 + 3 on the board.

Mr. Dolezal says the first step is to evaluate 12. Explain Mr. Dolezal’s mistake. Then, evaluate the expression.

Answers

he didn’t follow PEMDAS which is the an acronym for the order of operations. according to pemdas the first step is parenthesis (which is the p in pemdas) there fore the first step is to add the 1 and the 2
then since there are no exponents you multiply so you multiple 5(3) which is 15
then you can add all the number left to right
so 15+2+3= 20
so the answer is 20
hope this helped
let me know if you have any questions

Solving need help in don't get it

Answers

$√(3x-5)-2=0$
add 2 to both sides
$√(3x-5)=2$
square both sides
3x-5=4
add 5 to both sides
3x=9
divide 3
x=3

a nswer is B

What is the value of x in this triangle?A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°

Answers

The value of x is 33.49°.

What is a right triangle?

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

Learn more about right triangles here:

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Answer:

D. 33.49

Step-by-step explanation:

Organize the following polynomial expressions from least to greatest based on their degree:I x + 2xyz
II 3x + y + z
III 2x3y + y2x - 3x + 4
IV 9x3yz

A II, III, I, IV

B III, I, IV, II

C I, II, IV, III

D II, I, III, IV

Answers

The degree of a polynomial is equal to the highest sum of the variables among the terms. In I, degree is equal to 3, II is equal to 1, II is equal to 4, and IV is equal to 5. Hence, the order from least to greatest then, the order is II, I, III and IV. Answer is A>

Answer: 2134

Step-by-step explanation:

Solve: 3x + 1 = 3

With working out

Answers

$3x + 1 = 3 \n \n3x + 1-1 = 3 -1\n \n 3x = 2 \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3)$

$3x+1 =3 \n \n 3x =3 -1 \n \n 3x =2 \n \n \n (3x)/(3) = (2)/(3) \n \n x = (2)/(3) \n \n \framebox[1.1\width]{Good Luck!} \par$

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