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katrin2010 [14]
3 years ago
12

How is 0.136 repeated written as a fraction in simplest form

Mathematics
1 answer:
jolli1 [7]3 years ago
3 0
Repeated fractions are written with 9's in the denominator.

0.136 = 136/1000
0.136 repeated = 136/999
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Please solve this question..​
shutvik [7]

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = \frac{1}{2} (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

\frac{1}{2} (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

x = \frac{-4+2}{2} = \frac{-2}{2} = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = \frac{1}{2} (- 1 - 2)(- 1 + 4) = \frac{1}{2} × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

6 0
3 years ago
A square of side x is cut out of a larger square of side y. What is the area of the remaining
KonstantinChe [14]

Answer:

The area of the remaining figure is y^2-x^2

Step-by-step explanation:

<u>Area of the Square Shape</u>

Given a square of side length x, the area is calculated by the formula:

A_x=x^2

It's given a square of side x is cut out of a larger square of side y. Please refer to the image below.

The area of the square of side length y is:

A_y=y^2

The shaded area of the remaining figure is the difference between both areas:

A=A_y-A_x

A=y^2-x^2

The area of the remaining figure is \mathbf{y^2-x^2}

3 0
3 years ago
The area of a trapezoid is 120 cm2. the height is 12 cm and the length of one of the parallel sides is 6 cm. find the length of
zloy xaker [14]
The length is 14 cm :)
7 0
3 years ago
Read 2 more answers
James works in a sporting goods store and earns $324 a week and 5% of his sales. One week James earned $432. What were his sales
Bogdan [553]

Answer:

His sales that week were $2,160.

Step-by-step explanation:

First, you have to subtract $324 from the amount he earned that week, to find the 5% he got from sales:

$432-$324=$108

Now, you know that he received $108 that represent 5% of his sales and you can use a rule of three to find the amount that represents 100% which would be his sales that week:

 5%   →    108

100% →      x

x=(100*108)/5=2160

According to this, the answer is that his sales that week were $2,160.

7 0
3 years ago
Please help me ASAP! Triangle ABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackary says that triangle ABC is an isosceles
son4ous [18]
<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

<h2>Why?</h2>

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

From B to C: (4,4) and (6,3)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

7 0
3 years ago
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