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2 years ago

Identify the center and radius for the following equation: (x+4)^2+(y-7)^2=4

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

This is the equation for a circle which without numbers looks like (x – h)^2 + (y – k)^2 = r^2

This means that the radius is the square root of what ever number the equation is equal to. Since in this case it is 4 the square root of 4 is 2

The center of the circle is baced off h and k. In order to find where each one of them go, you would do the opposit of the number that is with them. With this equation the opposit of 4 is -4 so it will go -4 in the x direction and the opposit of -7 is 7 so it would go 7 in the y direction

Radius: 2

Center: (-4,7)

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A string quartet finds that when they play for donations they earn between $25 and $40 per hour. If they play for 3 hours and di

7nadin3 [17]

Answer:

Option d.$18 to $30

Step-by-step explanation:

we know that

The quartet earn between $25 and $40 per hour.

If they play for 3 hours

then

($25*3)=$75

($40*3)=$120

the quartet will earn between $75 and $120

Divide the money equally between the four members

$75/4=$18.75

$120/4=$30

therefore

Each member can make between $18.75 and $30

5 0

3 years ago

Is -5/11 equivalent to -5/-11 ? Why or why not?

bekas [8.4K]

No bucease it has a negative on the 11 and the other one don’t

5 0

2 years ago

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft 2. Find

Radda [10]

Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

Base = 6x

The area of the parallelogram A can be written as;

Area = base × height

A = b×h

Substituting the values of Area, base and height.

280 = 5x × 6x

280 = 30x^2

x^2 = 280/30

x = √(280/30)

Since the base = 6x ;

Substituting the value of x.

Base = 6x = 6(√(280/30))

Base = 18.3ft

The base is 18.3ft

4 0

3 years ago

Is the point (1,5) a solution to the equation below?

allochka39001 [22]

Answer:

A. No

Step-by-step explanation:

y = 2x + 4

(5) = 2(1) + 4

5 = 2 + 4

5 = 6 (false statement)

7 0

2 years ago

A boundary stripe 6 in. wide is painted around a rectangle whose dimensions are 120 ft by 230 ft. Use differentials to approxima

Nimfa-mama [501]

Answer:

350 square feet

Step-by-step explanation:

We are given that

Width of strip=6 in

Dimension of rectangle= $20 ft\times 230 ft$

We know that

Area of rectangle ,A=xy

Differentiate

$dA=\frac{\partial A}{\partial x}x+\frac{\partial A}{\partial y}y$

We have $\frac{\partial A}{\partial x}=y=230 ft$

$\frac{\partial A}{\partial y}=x=120$

$dx=\frac{12}{12}=1 ft$

1 ft=12 in

Because 6 in added in both side of breadth

dy= $\frac{12}{12}=1 ft$

Because 6 in added on both sides of length of rectangle

Substitute the values

$dA=230\times 1+120\times 1=350 ft^2$

Hence, the number of square feet of paint in the strip=350 square feet

7 0

3 years ago