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2 years ago

Match the percent on the left with the sum of friendly percents on the right

Mathematics

1 answer:

exis [7]2 years ago

4 0

Answer: See explanation

Step-by-step explanation:

25% + 25% + 25%

= 75%

10% + 25%

= 35%

50% + 10%

= 60%

10% + 10%

= 20%

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A circle is centered at the point (5,-4) & passes through the point (-3,2).

maxonik [38]

Equation of the circle:

$(x-5)^2+(y+4)^2=100$

Step-by-step explanation:

The equation of a circle is given by

$(x-x_0)^2+(y-y_0)^2=r^2$

where

$(x_0,y_0)$ are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

$r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100$

Learn more about circles:

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5 0

2 years ago

What is the domain and range of f(x)= |x+6|

andreev551 [17]

as the function is polynomial domain exist for all real number ie (-infinity to + infinity) but range exist (0 to +infinity ) due to modulus negetive range do not exist

4 0

3 years ago

Read 2 more answers

One leg of a right isosceles Triangle is 6ft what is The area of The Triangle

AVprozaik [17]

Answer:

18ft $x^{2}$

Step-by-step explanation:

so fine area you do side x side and divide by two

6 x 6= 36

36/2 = 18

5 0

3 years ago

Algebra help - asymptotes

motikmotik

Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0

So we know the denominator has to be (x-5), this now narrows it down to the first two answers.

To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.

In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

so the degrees would be equal.

Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.

This makes the first choice the correct answer.

8 0

2 years ago

The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. a By what percent would

Elina [12.6K]

Answer:

The percentage increase in Area of rectangle is 200%

Step-by-step explanation:

Given as :

The ratio of the width to the length of a rectangle is 2:3

Let The length of rectangle = 2 x

Let The width of rectangle = 3 x

∵ Area of rectangle = length × width

So, $A_1$ = 2 x × 3 x

Or, $A_1$ = 6 x²

<u>Again</u>

The increased length of rectangle = 2 x + 2 x = 4 x

The increase width of rectangle = 3 x + 50% of 3 x

I.e The increase width of rectangle = 3 x + 1.5 x = 4.5 x

∵ Increased Area of rectangle = increased length × increased width

Or, $A_2$ = 4 x × 4.5 x = 18 x²

So, The percentage increase in area = $\dfrac{A_2 - A_1}{A_1}$ × 100

Or, The percentage increase in area = $\frac{18 x^{2}-6x^{2}}{6x^{2}}$ × 100

Or , The percentage increase in area = $\dfrac{12}{6}$ × 100

∴ The percentage increase in area = 200

Hence, The percentage increase in Area of rectangle is 200% Answer

5 0

3 years ago