All categories

3 years ago

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

You might be interested in

40 points!!! please tell me how to do it not what the answer is :D

Julli [10]

Answer:

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

5 0

2 years ago

Read 2 more answers

Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10

ivolga24 [154]

9514 1404 393

Answer:

(b) Hiking 10 feet due north, then hiking 10 feet due south

Step-by-step explanation:

Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...

+6 -4 = 2 . . . not zero

+10 -10 = 0

+2 -3 = -1 . . . not zero

+5 -3 = 2 . . . not zero

Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.

3 0

3 years ago

Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,

alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

$\frac{sin(B)}{24} = \frac{sin(82)}{29}$

$sin(B)*29 = sin(82)*24$

$\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}$

$sin(B) = \frac{sin(82)*24}{29}$

$sin(B) = 0.8195$

$B = sin^{-1}(0.8195)$

$B = 55.0$

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

$\frac{a}{sin(43)43} = \frac{24}{sin(55)}$

Cross multiply

$a*sin(55) = 25*sin(43)$

$a = \frac{25*sin(43)}{sin(53)}$

$a = 20$ (approximated)

8 0

3 years ago

Please help. Give answer and why its the answer. I will give brainliest!

777dan777 [17]

(a) False. The number 7 is NOT an element of set B as 7 is not in the set B (2, 3, 4 and 0 are though)

(b) False. 3 is a member of set A. It is the third element listed in the set. So saying "3 is not a member of set A" is a false claim

(c) True. The value 0 is found in set B. It is the last element listed.

Final Answer: Choice C)

7 0

3 years ago

Complete the sequence. 37.25, 35.5, 33.75, __, __.

Leviafan [203]

Answer:

37.25, 35.5, 33.75, 32, 30.25.

Step-by-step explanation:

Subtract the first term from the second term:

35.5 - 37.25 = -1.75

Subtract the second term from the third term:

35.5 - 33.75 = -1.75

The common difference is -1.75.

To find each subsequent term, add the common difference to the current term.

33.75 + (-1.75) = 32

32 + (-1.75) = 30.25

Answer:

37.25, 35.5, 33.75, 32, 30.25.

6 0

3 years ago

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5