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vaieri [72.5K]
3 years ago
10

Determine the equation of the circle graphed below.

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

(x + 3)² + (y + 6)² = 2²

Step-by-step explanation:

General form

(x - h)² + (y - k)² = r²

(h, k) is the center = (-3, -6)

r is the rradius = 2

-----------------------

(x + 3)² + (y + 6)² = 2²

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A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

V=l\times b\times h

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

V_1=kl\times kb\times kh

V_1=k^3(l\times b\times h)

V_1=k^3V       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

V_1=2^3(1800)

V_1=14400

Therefore, the volume of required sink is 14400 cubic inches.

7 0
3 years ago
Help pls with math lotsss of points!!!
sveticcg [70]

Answer:

5x^2+22x-12         x cannot be -5, -4, -2

(x+5)(x+4)(x+2)

Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)

Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

5x^2+25x - (3x+12)     =    5x^2+22x-12         x cannot be -5, -4, -2

 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

4 0
2 years ago
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is
raketka [301]

Answer: 0.5

Step-by-step explanation:

Given : Adult male heights have a normal probability distribution .

Population mean : \mu = 70 \text{ inches}

Standard deviation: \sigma= 4\text{ inches}

Let x be the random variable that represent the heights of adult male.

z-score : z=\dfrac{x-\mu}{\sigma}

For x=70, we have

z=\dfrac{70-70}{4}=0

Now, by using the standard normal distribution table, we have

The probability that a randomly selected male is more than 70 inches tall :-

P(x\geq70)=P(z\geq0)=1-P(z

Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5

4 0
3 years ago
Read 2 more answers
Wht is a irrational number
cluponka [151]
An irrational number is any number that is a real number, a full number or whole one, and that can`t be shown as a ratio. It is a number that cannot be shown as a simple fraction. An irrational number is one that is shown as a repeated decimal or fraction.
6 0
3 years ago
Read 2 more answers
I WILL GIVE YOU BRAINLIEST IF YOU ANSWER THE WHOLE QUESTION.
kicyunya [14]

Answer:

B)y=2x   and     C) y=-7x+9

Step-by-step explanation:

Once a linear function has a constant rate of change, you just have to find the linear functions. Also, the other ones are quadratic functions, and their graph are parabolas, which don't have a constant rate of change.

Considering f(x)=y

f(x) = 2x  has a constant positive rate of slope 2.  

$\frac{dy}{dx}=2 $

f(x)=-7x+9 has a constant negative rate of slope -7

$\frac{dy}{dx}=-7 $

5 0
3 years ago
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