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Mademuasel [1]
3 years ago
3

Which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 4

8 2w(w – 2) = 48 2w(w 2) = 48
Mathematics
2 answers:
boyakko [2]3 years ago
8 0

The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.

<h3>How to find the area of a rectangle?</h3>

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.

Let the width of the rectangle mosaic is w cm. Thus, the length of it is,

l=w+2

As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,

A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48

The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is

w(w+2)=48

Learn more about the area of rectangle here;

brainly.com/question/11202023

liraira [26]3 years ago
4 0

Answer:

B. w(w + 2) = 48

Step-by-step explanation:

I just took the quiz.

Have the day you deserve :)

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Solve the quadratic equation by completing the square.
Step2247 [10]

Answer:

x1, x2 = 4.74 , -2.74

Step-by-step explanation:

To find the roots of a quadratic function we have to use the bhaskara formula

ax^2 + bx + c

x^2 - 2x - 13

a = 1     b = -2    c = -13

x1 = (-b + √ b^2 - 4ac)/2a

x2 =(-b - √ b^2 - 4ac)/2a

x1 = (2 + √ (2^2 - 4 * 1 * (-13)))/2 * 1

x1 = (2 + √ (4 + 52)) / 2

x1 = (2 + √ 56 ) / 2

x1 = (2 + 7.48) / 2

x1 = 9.48 / 2

x1 = 4.74

x2 = (2 - √ (2^2 - 4 * 1 * (-13)))/2 * 1

x2 = (2 - √ (4 + 52)) / 2

x2 = (2 - √ 56 ) / 2

x2 = (2 - 7.48) / 2

x2 = -5.48 / 2

x2 = -2.74

6 0
4 years ago
I need help please. Thanks
Agata [3.3K]

Given:

m∠APD = (7x + 1)°

m∠DPC = 90°

m∠CPB = (9x - 7)°

To find:

The measure of arc ACD.

Solution:

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠APD + m∠DPC + m∠CPB = 180°

7x° + 1° + 90° + 9x° - 7° = 180°

16x° + 84° = 180°

Subtract 84° from both sides.

16x° + 84° - 84° = 180° - 84°

16x° = 96°

Divide by 16° on both sides.

x = 6

m∠APB = 180°

m∠BPD = (9x - 7)° + 90°

             = (9(6) - 7)° + 90°

             = 47° + 90°

m∠BPD = 137°

m∠APD = m∠APB + m∠BPD

             = 180° + 137°

             = 317°

<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>

m(ar ACD) = m∠APD

m(ar ACD) = 317°

The arc measure of ACD is 317°.

8 0
4 years ago
A tube of toothpaste holds 75ml. how many tubes can be filled using 3 litres of toothpaste?
MissTica

Answer:

ANSWER-) 3 litres =3000ml

capacity of 1 tube =75ml

NO. OF TOOTH PASTE REQUIRED = 3000/75=40 tubes.

5 0
3 years ago
Pikachu claims that you can use the method of undetermined coefficients fo solve the following. y" - y' -12y = g(t) where g(t) a
Tom [10]

Pikachu is right.

Undetermined Coefficients (that we learn here) only work when f(x) is a polynomial, exponential, sine, cosine, or a linear combination of those.

And,

As we can see that the equation given is a Polynomial,

So, Pikachu is right.

Learn more about Polynomial:

https://brainly.in/question/3793499

#SPJ4

6 0
2 years ago
The coordinate grid shows the graph of four equations:
Art [367]

Answer:

its A and C

Step-by-step explanation:

hope this helps and mark me brainliest

5 0
3 years ago
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