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Marat540 [252]
3 years ago
10

A shop has a sale that offers 20% off all prices.

Mathematics
1 answer:
NeTakaya3 years ago
5 0
I think that the answer is 45% because the sale started off with a 20% discount, but at the end they added another 25% to the sales. So since the sale already started off with 20%, you add 20%+25% which equals 45%. 
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A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co
zvonat [6]
The answer is c. ...
6 0
3 years ago
Read 2 more answers
Please help me thank you
AfilCa [17]

Step-by-step explanation:

y = 9x - 7

When x = 8

y = 9.8 - 7

y = 72 - 7

y = 65

When x = 6

y = 9.6 - 7

y = 54 - 7

y = 47

When x = 7

y = 9.7 - 7

y = 63 - 7

y = 56

When x = -8

y = 9.(-8) - 7

y = -72 - 7

y = -79

When x = 4

y = 9.4 - 7

y = 36 - 7

y = 29

4 0
2 years ago
The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√
uysha [10]

a^{2} +b^{2} =c^{2}

As we have to solve for b, it means we have to isolate b

So first of all subtract a^{2} from both sides

So we get

b^{2} =c^{2} -a^{2}

Now we need b , but its b^2 , so we can take square root on both sides.


taking square roots on both sides

b= +- \sqrt{c^2 -a^2}


Hence option B is correct

4 0
3 years ago
Show that every triangle formed by the coordinate axes and a tangent line to y = 1/x ( for x > 0)
vfiekz [6]

Answer:

Step-by-step explanation:

given a point (x_0,y_0) the equation of a line with slope m that passes through the  given point is

y-y_0 = m(x-x_0) or equivalently

y = mx+(y_0-mx_0).

Recall that a line of the form y=mx+b, the y intercept is b and the x intercept is \frac{-b}{m}.

So, in our case, the y intercept is (y_0-mx_0) and the x  intercept is \frac{mx_0-y_0}{m}.

In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph (x_0,\frac{1}{x_0}). Which means that y_0=\frac{1}{x_0}

The slope of the tangent line is given by the derivative of the function evaluated at x_0. Using the properties of derivatives, we get

y' = \frac{-1}{x^2}. So evaluated at x_0 we get m = \frac{-1}{x_0^2}

Replacing the values in our previous findings we get that the y intercept is

(y_0-mx_0) = (\frac{1}{x_0}-(\frac{-1}{x_0^2}x_0)) = \frac{2}{x_0}

The x intercept is

\frac{mx_0-y_0}{m} = \frac{\frac{-1}{x_0^2}x_0-\frac{1}{x_0}}{\frac{-1}{x_0^2}} = 2x_0

The triangle in consideration has height \frac{2}{x_0} and base 2x_0. So the area is

\frac{1}{2}\frac{2}{x_0}\cdot 2x_0=2

So regardless of the point we take on the graph, the area of the triangle is always 2.

6 0
3 years ago
An animal shelter has 45 cats, 10 dogs and 5 rabbits. the shelter published the ratio of cats to dogs in its latest newsletter .
timurjin [86]
Ratio : cats:dogs 45:10
6 0
3 years ago
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