Find the solutions of (x – 4)(x – 4) = 0.Question 4 options:

A)

x = –4

B)

x = 4, –4

C)

x = 0

D)

x = 4

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

(x – 4)(x – 4) = 0.

So factor are x-4=0

X=4 (D) is the answer


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A basketball player has already scored 56 points of the game the team record for points in a game is 72 which equation would allow you to find how many more points to play needs to tie the record

Y = 10
x = 3

x + y + y + 17 + y = ?

Thanks!!

Answers

To answer this we will first substitute for each variable and den solve. lets do it:-

x + y + y + 17 + y = ? 

y = 10

x + 10 + 10 + 17 + 10 =  

x = 3

3 + y + + y + 17 + y = ?

Now lets write it out:-

3 + 10 + 10 + 17 + 10 = ?

Now lets solve step by step:-

3 + 10 = 13 
13 + 10 = 23
23 + 17 = 40
40 + 10 = 50

So, 3 + 10 + 10 + 17 + 10 (x + y + y + 17 + y) =  50

Hope I helped ya!! xD 
Substitute:-3 + 10 + 10 + 17 + 10 =
 
Solve:-3 + 10 + 10 + 17 + 10 = 50

Put the following equation of a line into slope-intercept form, simplifying all fractions.2x+2y=18

Answers

Answer:

y = - x + 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope  and c the y- intercept )

given the line with equation

2x + 2y = 18 ( subtract 2x from both sides )

2y = - 2x + 18 ( divide through by 2 )

(2)/(2) y = (-2)/(2) x + (18)/(2) , that is

y = - x + 9 ← in slope- intercept form

What is the solution to the equation 9^(x - 2) = 27 ? x = 2.5/ x = 0.5/ x = -0.5 /x = 3.5

Answers

Answer:

x=3.5

Step-by-step explanation:

9^(x - 2) = 27

To solve for x , we need to make same base on both sides

9 can be written as 3^2

27 can be written as 3^3

9^(x - 2) = 27

[tex[](3^2)^{x - 2} = 3^3[/tex]

multiply the inside exponent with inside exponent

3^(2(x-2))= 3^3

Both sides have same base 3

so we equation the exponents

2(x-2)= 3

2x-4= 3

add 4 on both sides

2x=7

divide by 2 on both sides

x=(7)/(2) =3.5

To solve this question rewrite 27 as 3 to power 3. And 9 as 3 to power 2. Then distribute 2 in 3 to the power of 2 to the expression of (X-2). Cancel out 3 base at the end. Then set the equation 2x-4=3. Solving for X gives me 7/2 or 3.5.

Find all the real and complex solutions of the polynomial equation. Be sure to show ALL work (4 points):x3-2x2+9x-18=0

Answers

2, 3i, -3i are the real and complex solutions of the polynomial equation.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is x³-2x²+9x-18

x³-2x²+9x-18=0

Take the common terms from first two terms

x²(x-2)+9(x-2)

(x²+9)(x-2)=0

(x²+3²)(x-2)=0

x-2=0

x=2

and x²+3²=0

x=3i and x=-3i

Hence, 2, 3i, -3i are the real and complex solutions of the polynomial equation.

To learn more on Polynomials click:

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△ABC is similar to △LMN by the ​ AA Similarity Postulate ​. The measure of ∠A is 111º and m∠C=2(m∠M).What is m∠M?

Answers

△ABC is similar to △LMN by the ​ AA Similarity Postulate ​. The measure of ∠A is 111º and m∠C=2(m∠M).

Since the Angle of A is 111 degrees.
Another angle, Angle of C is twice the angle of M.

Angle of A = Angle of C
2 (Angle of M) = Angle of C
2 (Angle of M) = 111
Angle of M = 55.5 degrees

In Canada, $1 and $2 bills have been replaced by coins. When Marissa returned home to San Fran from a trip to Canada, she found that she had acquired 37 of these coins, with a total value of 51 canadian dollars. How many coins of each denomination did she have?

Answers

Answer:

$1 coin is 23

$2 coin is 14

Step-by-step explanation:

We need to form mathematical equations that we can solve from this Long citation.

Firstly, let the numbers of $1 coins be a and that of $2 be b.

We know that there are 37 coins. Hence

a + b = 37

Now, total is 51 Canadian dollars.

a + 2b = 51

Let’s now solve this simultaneously

From 2 , a + b + b = 51

Let’s say this is 3. Now substitute 1 into 3.

37 + b = 51, b = 51 - 37 = 14

Since a + b = 37

a = 37 - 14 = 23