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AlekseyPX
3 years ago
14

Original price of a dress:26.40,discount:10%

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

2.64

Step-by-step explanation:

10/100 = 0.1

0.1 x 26.40 = 2.64

So the final answer is 2.64

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What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?
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F(x)=3x^2+6x-8
Formula: a=-b/2(a)
a=-6/2(3)=-3
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What is the equation of the circle with center (-3,1) that passes through the point (-5, 3)?
Natali5045456 [20]

Answer:

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by:

(x-h)^2 + (y-k)^2 = r^2

Given

Center = (h,k) = (-3,1)

=> h = -3

=> k = 1

The distance between the center of circle and the point through which the circle passes will be the radius.

The distance formula is given by:

r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Given

(x_1,y_1) = (-3,1)\\(x_2,y_2) = (-5,3)

Putting the values in the formula

r = \sqrt{(-5+3)^2+(3-1)^2}\\r = \sqrt{(-2)^2+(2)^2}\\r = \sqrt{4+4}\\r = \sqrt{8}

Putting the values of h,k and r in general form of equation

\{x-(-3)}^2\} +(y-1)^2 = (\sqrt{8})^2\\(x+3)^2+(y-1)^2 = 8

Hence,

Option B) (x + 3)^2 + (y – 1)^2 = 8 is the correct answer.

4 0
3 years ago
Find the missing side length of the right triangle below. Round your answer to the nearest tenth.
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Answer:

24.4

Step-by-step explanation:

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196 + 400 =  596

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viktelen [127]

40 garments need to be dry cleaned for the two companies to have the same cost.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:

  • (5, 115.25) and (15, 155.75)

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-115.25=\frac{155.75-115.25}{15-5}(x-5)\\&#10; \\&#10;y=4.05x+95

Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:

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y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-45.25=\frac{105.75-45.25}{15-5}(x-5)\\&#10; \\&#10;y=6.05x+15

For the cost to be the same:

4.05x + 95= 6.05x + 15

x = 40

40 garments need to be dry cleaned for the two companies to have the same cost.

Find out more on Linear equation at: brainly.com/question/14323743

7 0
2 years ago
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