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Nady [450]
4 years ago
9

Which of the following statements follows from (x - 3)2 = 7?

Mathematics
2 answers:
melisa1 [442]4 years ago
7 0
The first one hope this clarifies
mariarad [96]4 years ago
5 0

Answer:

Option B is correct

x-3 = \pm \sqrt{7}

Step-by-step explanation:

Given the equation:

(x-3)^2 = 7

taking square root both sides we have;

\sqrt{(x-3)^2} = \pm \sqrt{7}

Using exponent rules:

\sqrt[n]{x^n}=x

then;

x-3 = \pm \sqrt{7}

Therefore, the following statements follows from (x-3)^2 = 7 is, x-3 = \pm \sqrt{7}

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Can you find both the value of x and y? It is a 30-60-90 triangle
Juli2301 [7.4K]

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

3 0
2 years ago
Five pounds is 2.268 times as heavy as one kilogram. How many times as heavy is two pounds than one kilogram?
BlackZzzverrR [31]

Answer:

4.536

Step-by-step explanation:

2.268*2=4.536

8 0
4 years ago
Read 2 more answers
The theater sells two types of tickets: adult tickets for $15 and
UkoKoshka [18]

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

6 0
3 years ago
Sallly has 3 marbles. Every
Anton [14]
If Sally already has 3 marbles and she finds 5 everyday. That means you add 5 until you get to 58. So in this case 5 times 11 is 55 + 3 is 58. Answer: It will take 11 days at this rate for her to have 58 marbles.
8 0
3 years ago
Jared has a wooden board that is 11 ft long. He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 tim
ivann1987 [24]

Answer

Find out the length of the shorter and longer pieces of a board .

To prove

Let us assume that the length of the shorter pieces be x.

As given

Jared has a wooden board that is 11 ft long.

He wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece.

Than the length of the longer pieces = 4x - 4

Than the equation becomes

x + 4x - 4 = 11

5x = 11 + 4

5x = 15

x = \frac{15}{5}

x = 3 ft

Therefore the length of the shorter pieces be 3 ft .

The length of the longer pieces  = 4x - 4

                                                      = 4 × 3 - 4

                                                      = 12 - 4

                                                      = 8 ft

Therefore the length of the longer pieces be 8 ft .



5 0
4 years ago
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