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Kobotan [32]
2 years ago
9

Write a ratio for the situation in three ways comparing the first quantity to the second quantity A zoo has 19 monkeys and 10 ch

impanzees
Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
8 0
19:10, 19/10, 19 to 10
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The endpoints of a diameter of a circle are (5,-10) and (-7,2). What is the equation of the circle in standard form?
grin007 [14]

Answer:

(x+1)^2+(y+4)^2=(6\sqrt{2})^2

Step-by-step explanation:

The length of the diameter(d) will be the distance between (5,-10)\ and\ (-7,2).

d=\sqrt{(2-(-10))^2+(-7-5)^2}=\sqrt{(12)^2+(-12)^2}=\sqrt{144+144}=\sqrt{288}\\\\d=12\sqrt{2}

Radius:

radius(r)=\frac{diameter}{2}=\frac{12\sqrt{2}}{2}=6\sqrt{2}

Centre:

Let (a,b) be centre of the circle.

Centre will be the mid point of end points of diameter.

a=\frac{5-7}{2}=\frac{-2}{2}=-1\\\\b=\frac{-10+2}{2}=\frac{-8}{2}=-4\\\\Centre=(-1,-4)

Equation of circle:

If (a,b) be centre and r be the radius.

Equation of circle: (x-a)^2+(y-b)^2=r^2

Here (a,b)=(-1,-4)\ and\ r=6\sqrt{2}

(x-(-1))^2+(y-(4))^2=(6\sqrt{2})^2\\(x+1)^2+(y+4)^2=(6\sqrt{2})^2

5 0
2 years ago
Which of the following equations matches the function shown above?
yanalaym [24]

Answer:

C=y=sin1/2x

Step-by-step explanation:

As given in the graph:

Amplitude= 1

period=2π

Finding function of sin that have period of 4π and amplitude 1

A: y=1/2sinx

Using the formula  asin(bx-c)+d to find the amplitude and period

a=1/2

b=1

c=0

d=0

Amplitude=|a|

                =1/2

Period= 2π/b

         =2π

B: y=sin2x

Using the formula  asin(bx-c)+d to find the amplitude and period

a=1

b=2

c=0

d=0

Amplitude=|a|

                =1

Period= 2π/2

         =π

C: y=sin1/2x

Using the formula  asin(bx-c)+d to find the amplitude and period

a=1

b=1/2

c=0

d=0

Amplitude=|a|

                =1

Period= 2π/1/2

         =4π

D: y=sin1/4x

Using the formula  asin(bx-c)+d to find the amplitude and period

a=1

b=1/4

c=0

d=0

Amplitude=|a|

                =1

Period= 2π/1/4

         =8π

Hence only c: y=sin1/2x has period of 2π and amplitude 1

5 0
2 years ago
Use the distributive property to simplify 3 + 5c(2 + 6c) completely.​
Charra [1.4K]

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

7 0
2 years ago
How do you plot a linear graph​
dlinn [17]

Step-by-step explanation:

You can plot linear graph using two point (x1,y1) and (x2,y2), where x1, y1, x2 and y2 are real numbers.

or

using slope intercept form y = mx + b, where m is the slope and b is y-intercept.

4 0
3 years ago
Write an expression for "8 times z."
garri49 [273]

Answer: 8z 8(z)

Explanation: well 8 times z is simply 8(z)I don’t really think there is another way

5 0
2 years ago
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