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2 years ago

15

What is the radius of the circle given by the equation below? x2 + 14x + y2 - 14y = -73

1 answer:

PolarNik [594]2 years ago

8 0

Answer:

5

Step-by-step explanation: 5/13 8 48

graph the function, center the center of the circle find the difference between the center and the circle

center at (-7, 7)

sorry I don't know how to find it mathematically. I'll try to figure out later, if you need an mathematically solution.

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Ratio of 2:3 white flour to whole wheat flour to total of 10 cups flour

LenaWriter [7]

White flour makes up 2 / (2+3) of the total 10 cups: 2/5 of the total 10 cups.

2/5 times 10 is 4 cups.

You'll need 4 cups white flour and 6 cups whole wheat flour, making a total of 10 cups of flour.

8 0

3 years ago

What is the product of 1 1/2 and -1 1/4?

Savatey [412]

positive number times negative number is negative number "(+)(-) = (-)".

$1\dfrac{1}{2}\cdot\left(-1\dfrac{1}{4}\right)=-\left(1\dfrac{1}{2}\cdot1\dfrac{1}{4}\right)$

we change the mixed numbers to the improper fractions

$=-\left(\dfrac{1\cdot2+1}{2}\cdot\dfrac{1\cdot4+1}{4}\right)=-\left(\dfrac{3}{2}\cdot\dfrac{5}{4}\right)=-\dfrac{3\cdot5}{2\cdot4}=-\dfrac{15}{8}=-1\dfrac{7}{8}$

6 0

3 years ago

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

RideAnS [48]

Answer:

2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

(3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

x = (10a +3b +12) -(3a +8) -(5a +b)

= a(10 -3 -5) +b(3 -1) +(12 -8)

= 2a +2b +4

The length of the third side is 2a +2b +4.

5 0

2 years ago

A baseball infield is a square, each side measuring 90 feet. To the nearest foot, what is the distance from home plate to second

suter [353]

Using the Pythagorean theorem:

90^2 +90^2 = X^2

8100 + 8100 = x^2

16,200 = x^2

X = √16,200

X = 127.28 feet.

Rounded to the nearest foot = 127 feet.

3 0

3 years ago

PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!

Anettt [7]

Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

$x^{-2}$ or $\frac{x^{-2}}{1} =\frac{1}{x^2}$

$\frac{1}{y^{-3}} =\frac{y^3}{1}$ or y³

x = -2

f(x) = 9x + 7

f(-2) = 9(-2) + 7 = -18 + 7 = -11

$g(x)=5^x$

$g(-2)=5^{-2}=\frac{1}{5^2}=\frac{1}{25}$ (idk if you should have it as a decimal or a fraction)

x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2

$g(x)=5^x$

$g(-1)=5^{-1}=\frac{1}{5}$

x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7

$g(x)=5^x$

$g(0)=5^0=1$

x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16

$g(x)=5^x$

$g(1)=5^1=5$

x = 2

f(x) = 9x + 7

f(2) = 9(2) + 7 = 18 + 7 = 25

$g(x)=5^x$

$g(2)=5^2=25$

You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and $g(x)=5^x$ , you can plug in (9x + 7) for f(x), and ( $5^x$ ) into g(x)

f(x) = g(x)

$9x+7=5^x$ You can plug in each value of x into the equation

Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

5 0

3 years ago