Hello! Please help with this fill in the blank, thanks!

Answer:

answer

Step-by-step explanation:

step by step explanation

Given parameters:

  Equation:

          (x-4)²=9

Problem, solve the equation by factoring and extracting the root

Solution:

    Given equation:

                  (x-4)²=9

         subtract 9 from both sides to equate to zero;

                (x-4)² - 9 = 0

                (x -4)² - 3² = 0

  Now, this is similar to the concept of difference of two squares;

          x² - y² = (x + y)(x-y)

Here x  = x-4 and y = -3

  So input and solve;

              (x - 4 -3)(x - 4 -(-3)) = 0

              (x - 7)(x - 4+3) = 0

              (x -7)(x -1) = 0

S0,

             x - 7 = 0 or x-1 = 0

             x = 7 or 1

If we extract the square roots;

          (x-4)² = 9

         √(x-4)² = √9

              x - 4 = 3

              x  = 4 + 3 = 7; this is not the only solution to the problem

So we cannot solve it by extracting the square root.

The solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root. The equation can only be solved by factoring

Given the expression;

(x-4)²=9

This expression can be solved by factoring

Factoring the expression on the left hand side

(x-4)(x-4)=9

x²-4x-4x+16 = 9

x² - 8x + 16 - 9 = 0

x² - 8x + 7 = 0

x² -x - 7x + 7 = 0

x(x-1) -7(x-1) = 0

x-7 = 0 and x - 1 = 0

x = 7 and 1

This shows that the expression can be solved by factoring

The other way is by squaring both sides

(√x-4)² = ±√9

x - 4 =±√9

x = -9+4 and x = 9 + 4

x = -5 and 13

Since the solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root

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Answer:12

Step-by-step explanation:

Answer:

The cost per ticket is $12

Step-by-step explanation:

In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.

Hope this helps:)

Answer:

They will make 1 triangle the lines will keep going until they meet

From the given triangle only one triangle can be made.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the unformed triangle is given in the image.

The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.

To know more about geometry follow

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Answer:

Im too gucci. 88.

Step-by-step explanation:

444444454444444444444545555

Answer:

D

Step-by-step explanation:

This is how I was taught to answer these questions

Get the coordinates of P and V. You should get 4=2m+b and 0=3m+b

Subtract these to get 4=-1m

Divide -1 from both sides to get -4

Let me know if you have any questions. I didn't go into to much detail because I wasn't sure if you just only wanted the answer.

Happy almost Halloween!

Answer:

37,000

Step-by-step explanation:

rounds to 37,000

Answer: 7876

Step-by-step explanation: JUST MULTIPLY THE NUMBERS

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

The proportion is a general case of percentage. (Refer to the examples explained below).

Therefore, the proportion is a general case of percentage.

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Answer:

-x - 13

Step-by-step explanation:

Answer:

-x - 13

Hope this helps! :)

Answer: -13k+11

Step-by-step explanation:

Combine like terms

-15k+2k=-13k

-1+12=11

Answer:

okay cge good night pa points lang thank you

Answer:

152

Step-by-step explanation:

Answer:

(-3, 4)

Step-by-step explanation:

Given equation of the line is,

y - 4 = -2(x + 3)

Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.

If a point (-3, a) lies on this line,

By substituting x and y coordinates in the equation,

a - 4 = -2(-3 + 3)

a - 4 = -2(0)

a - 4 = 0

a - 4 + 4 = 0 + 4

a = 4

Therefore, ordered pair shown in the picture will be,

(-3, 4)

Answer: (-3, 4)

Step-by-step explanation:

Answer:

There you go :)

Hope this helped you

<3

Red

Answer:

9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]

Step-by-step explanation:

Answer:

0.78

Step-by-step explanation:

Answer:

0.78

Step-by-step explanation:

because...

0.78 = 0.780

so,

0.780 > 0.708

have a nice day! <3

Answer:

one over three(p + 5)

Step-by-step explanation:

we know that

the expression " one over "  is equivalent to

--------> expression A

and

 --------> expression B

substitute the expression B in the expression A

-----> one over three

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Probability distribution of a random variable n :

P(n) = (1 - p)^(n-1) * p

p = 0.74

P(n) = (1 - 0.74)^(n-1) * 0.74

P(n) = (0.74)0.26^n-1

Compute the probabilities that n = 1, n = 2, and n = 3.

n = 1

P(1) = (0.74)0.26^1-1

= 0.74 * 0.26^0

= 0.74

n = 2

P(2) = (0.74)0.26^2-1

= 0.74 * 0.26^1

= 0.74 * 0.26

= 0.192

n = 3

P(3) = (0.74)0.26^3-1

= 0.74 * 0.26^2

= 0.74 * 0.0676

= 0.050

Compute the probability that n ≥ 4.

P(n ≥ 4) = 1 - p(n ≤ 3)

p(n ≤ 3) ; n = 1, n = 2, n = 3

p(n = 1) = 0.74

p(n = 2) = 0.192

p(n = 3) = 0.050

P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)

P(n ≥ 4) = 1 - 0.982

P(n ≥ 4) = 0.018

(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?

Expected number of residents (μ) :

μ = (1 - p) / p

p = 0.74

μ = (1 - 0.74) / 0.74

μ = 0.26 / 0.74

μ = 0.35

Let's solve your equation step by step

-8=3-5(x+6)

Step 1: simplify both sides of the equation

-8=3-5(x+6)

-8=3+(-5)(x)+(-5(6) (distribute)

-8=3+-5x+-30

-8=(-5x)+(3+-30) (combine like terms)

-8=-5x+-27

-8=-5x-27

Step 2: flip the equation

-5x-27=-8

Step 3: add 27 to both sides

-5x-27+27=-8+27

-5x=19

Step 4: Divide both sides by -5

-5x/-5 = 19/-5

Answer : x= -19/5

Answer:

x = -19/5

Step-by-step explanation:

-8 = 3-5(x+6)

Distribute.

-8 = 3-5x-30

Combine like terms.

-8 = -27-5x

Add 27 on both sides.

-8 = -27-5x

+27   +27

19 = -5x

Divide by -5 on both sides.

19 = -5x

/-5   /-5

-19/5 = x

Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:

Answer:

A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd

Step-by-step explanation:

Answer:

We know that:

If T = area of the triangle

and R = area of the rectangle:

I T - RI < 4.

Now, we know that:

T = 8*6/2 = 8*3 = 24

R = 4*(x - 4) = 4*x - 16

Then replacing those values, we can write:

I24 - (4*x - 16)I < 4

I40 - 4*xI < 4

Now let's solve it:

First we aim for the first value that is not a solutions, this is when:

I40 - 4*xI = 4

we can write this as:

40 - 4*x = +-4

The first extreme is:

40 - 4*x = +4

x = (40 - 4)/4 = 9

The other extreme is:

40 - 4*x = -4

x = (40 + 4)/4 = 11.

Then the set of solutions is: S = (9, 11)

There isnt a picturee but when you add another question I will hep you the best I can :)

Answer: -19

Step-by-step explanation:

Use the geometric ratio r=a2/a1

So 117/-13 = -9

-13*-9= 117

117*-9= -1053