Theo started to solve the quadratic equation (x 2)2 – 9 = –5. he added 9 to both sides and the resulting equation was (x 2)2 = 4. next, he took the square root of each side. which was the resulting equation of that step? x 2 = ±4 x 2 = ±2 x 2 = ±8 x 2 = ±16

Answer:

3.32

Step-by-step explanation:

[tex]4.7 ^2 = 22.09[/tex]

[tex]22.09/2 = 11.045[/tex]

then we can find the square root, [tex]\sqrt{11.045} = 3.32[/tex]

now we can check our answer:

[tex]a^2 + b^2 = c^2[/tex]

[tex]3.32^2 + 3.32^2 = 4.7^2[/tex]

[tex]11.0224 + 11.0224 = 22.0448[/tex]

and [tex]\sqrt{22.0448} = 4.6951[/tex] or 4.7

Answer:

Writing 9/5 as a decimal using the division method. To convert any fraction to decimal form, we just need to divide its numerator by denominator. Here, the fraction is 9/5 which means we need to perform 9 ÷ 5. This gives the answer as 1.8.

Step-by-step explanation:

hope this helps if not let me know

[tex]\text{The two angles are supplementary, so their sum is~} 180^{\circ} \\\\m\angle A + m\angle B= 180^{\circ}\\\\\implies x+15+x-13 = 180\\\\\implies 2x +2 = 180\\\\\implies 2x = 180-2\\\\\implies 2x = 178\\\\\implies x = \dfrac{178}2\\\\\implies x = 89\\\\\text{Hence the measure of angle B is}~ \angle B = (89-13)^{\circ} = 76^{\circ}[/tex]

The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

12x^3 - 2x² + 18x-3

= 2x²(6x-1) + 3(6x-1)

= (6x-1)(2x²+3)

Learn more about quadratic equations;

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Answer:

A.

Step-by-step explanation:

Answer:

176.6 inches.

Step-by-step explanation:

15 is the diameter, so 15/2 is 7.5 which is the radius

A of a circle is 3.14 x r^2

7.5^2=56.25

56.25 x 3.14=176.625

rounded makes it 176.6

Answer:

x = 8

y = 11

Step-by-step explanation:

Total small box weight  = 50x    [x being the number of small boxes]

Total large box weight = 80y     [y being the number of large boxes]      

Total boxes = x+y = 19

Total weight = 1280

Determine x and y.

You know 2 equations. One for weight and another for number of boxes each.

Rewrite second equation:

x+y=19

y=19-x

You have to plug in one into another.

1280 = 50x + 80(19-x)

Solve for x

1280 = 50x + 1520 - 80x

-240 = -30x

x = 8

Solve for y by plugging in x into one of the equations:

8+y = 19

y = 11

An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,

[tex]-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8[/tex]

Thus, the solution of the quadratic equation is -2 or -8.

Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.

Learn more about Equation:

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Answer:

  (1/2, -8 1/2)

Step-by-step explanation:

The enlargement transformation maps point A to one that is 3 times as far from the center of enlargement. If the center is C, then we have the relation ...

  (A' -C) = 3(A -C)

__

Solving for C gives ...

  A' -C = 3A -3C

  2C = 3A -A' . . . . . . . add 3C-A'

  C = (3A -A')/2

Filling in the given coordinates for A and A', we find the center of enlargement to be ...

  C = (3(1, -4) -(2, 5))/2 = (3 -2, -12 -5)/2 = (1, -17)/2

  C = (1/2, -8 1/2)

The center of enlargement is (1/2, -8 1/2).

Step-by-step explanation:

7 to make a perfect square

answer

22.5pages

example: 30÷4*3

Answer:

c. outsourcing

Step-by-step explanation:

just didbthat

Answer:

b

Step-by-step explanation:

because it shows it talks about factor

Answer:

1,96

Step-by-step explanation:

= 3185 ÷ 1625

= 1,96

#off

#thankyou:))

To subtract mixed numbers with different denominators, follow these steps:

1. Rename the fractions using a common denominator.

2. Subtract whole numbers from whole numbers. You might need to regroup first.

3. Subtract fractions from fractions.

4. Simplify, if needed.

Let's try it with [tex]2\frac{3}{5}-1\frac{1}{4}[/tex]

First, rename the fractions using a common denominator. The least common denominator of these fractions is 20. Multiply to make equivalent fractions with 20 as the denominator.

[tex]\frac{3x4}{5x4}=\frac{12}{20}[/tex]        [tex]\frac{1x5}{4x5}=\frac{5}{20}[/tex]

Rewrite the problem and subtract the whole numbers.

[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{?}{?}[/tex]

Now, subtract the fractions. Subtract the numerators and keep the denominator the same.

[tex]2\frac{12}{20}-1\frac{5}{20}=1\frac{7}{20}[/tex]

This answer is already in its simplest form, so there is no need to simplify it.

Answer:

37.8579

This value is approximate and rounded to four decimal places

===============================================

Explanation:

The tangent function is being applied to some unknown angle x. To isolate x, we undo whatever tangent is doing. So we apply the inverse function. Specifically the inverse tangent function. This is also known as "arctangent" and your calculator most likely shows it as a button with a "-1" exponent above the "tan"

So apply the arctangent to both sides to get

tan(x) = 0.7773

arctan(tan(x)) = arctan(0.7773)

x = 37.8579

heres a diagram to help

Answer:

Check the attachment of solution.

Answer:

Step-by-step explanation:

Proving the triangles are similar

Taking the sides in proportion

Answer:

I am not sure but I think the answer is 34.28

Step-by-step explanation:

Sorry if that is the wrong answer

Hope this helped

Answer:

34.28 ft^2

Step-by-step explanation:

Area of rectangular portion  7 x 4 = 28

 area of semicircle with radius 2

     1/2   *  pi (2)^2

Added together = 34.28 ft^2

Answer:

24

Step-by-step explanation:

[tex]let \: the \: length \: of \: \: the \: third \: side \: = y \\ using \: pythaoras \: theorem \: \\ 30 {}^{2} = y { }^{2} + 18 {}^{2} \\ y {}^{2} = 30 {}^{2} - 18 {}^{2} \\ y {}^{2} = 900 - 324 \\ y {}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \\ lenht \: of \: the \: third \: side = 24[/tex]

We start with 90,500

to get 10% we multiply it by .10

90,500 * .10 =

9050

Answer:

D

Step-by-step explanation:

Ahh, yes, the Pythagorean Theorem!

The Pythagorean Theorem is applied to right triangles. Only right triangles. So our answer would be B.

I hope this makes sense. I can continue to expand on this if you like.

-Toremi

The correct answer is option (B) Right triangle.

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

The Pythagorean theorem is applicable only to a right triangle.

The Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs of the triangle.

Hence, the correct answer is option (B) Right triangle.

Learn more about right triangles here:

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#SPJ5

Answer:

x=102⁰

Step-by-step explanation:

180⁰-47⁰-31⁰=180⁰-78⁰=102⁰

Step-by-step explanation:

1/3×π×r^2×15=1570. r^2=1570×21/(22×15);r=10.00

Answer:

-6 and -6

Step-by-step explanation:

[tex](-6)+(-6)=(-12)\\(-6)(-6)=36[/tex]

Adding a negative is the same as subtracting.

Multipling a negative by a negative is the same as multiply two even numbers. The negative signs cancel each other out.

Answer:

the answer is 450

Step-by-step explanation:

180 × 2= 360. but that only gives us 4 mins we need one more min. so we divide 180 by 2 and get 90. we add 90 to 360 and get an answer of 450

Answer:

It is a square, Hannah is a G.

Step-by-step explanation:

You can plug it in for visual, see attachment. You can see that it is a bit rotated square.

But real proof should be done with the points.

For it to be square all sides need to equal each other.

What's the x distance of M and A?

It is 1-(-5) = 1+5 = 6

What is the x distance of H and T?

It is 0-(-6) = 0+6 = 6

What is the y distance of M and H?

It is 2-(-4) = 2+4 = 6

What is the y distance of A and T?

It is 3-(-3) = 3+3 = 6

All are 6 so all sides are equal so it is a square.

Using the trigonometric ratios of sine, cosine and tangents will help solve navigate the maze.

Trigonometry is the study of the relationships between side lengths and angles of triangles.

The three main trigonometry functions are sine, cosine and tangent.

For right-angled triangles, the ratios of the three trigonometric functions are:

For the given maze, the missing measures are found using the angles and the side given.

For example:

tan 52 = 40/x

x = 40/tan 52 = 31.3

Therefor, using the trigonometric ratios will help solve navigate the maze.

Learn more about trigonometry at: https://brainly.com/question/24236629

Answer:

4. 309.76π

5. 2500/π

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

I hope this helps!

Question 4

Step 1. Find radius

D = 2r

r = D/2

r = 35.2/2 = 17.6 cm

Step 2. Find area

A = πr²

A = π(17.6)²

A = 309.76π ≈ 973.14 cm²

Question 5

Step 1. Find radius

C = 2πr

r = C/2π

r = 100/2π = 50/π ≈ 15.92 m

Step 2. Find area

A = πr²

A = π(50/π)²

A = π(2500/π²)

A = 2500/π ≈ 795.77 m²

i think these are right i hope this helped if not im sorry

V≈33.51

Hope it helps.

Do comment if you have any query.

Answer:

I got 84% increase

Step-by-step explanation:

Subtract final value minus starting value

Divide that amount by the absolute value of the starting value

Multiply by 100 to get percent increase

Answer:

a

Step-by-step explanation:

Answer:the answer is A 5x5=25

Step-by-step explanation: