x^2 + y^2+ 4x- 2y = - 1

The equation of a circle in the x-y plane is shown above. What is the Radius of the Circle

2

3

4

9

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

two negatives makes a positive

Answer:

The answer is invalid . R Is not remotley equilvent to T. If you try rooting it you will get runied

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) $2000(.035)(4) =$280

b) $2000 plus interest ($280) comes to $2280

Answer:

Step-by-step explanation:

Yooooooooo

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = [tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex]

a = 7 and b = 11

[tex]a^{2}[/tex] = 49

[tex]b^{2}[/tex] = 121

Plugging in the values, we will get:

[tex]c^{2}[/tex] = 49 + 121

[tex]c^{2}[/tex] = 170

c = [tex]\sqrt{170}[/tex]

To calculate the unknown angle B, we can use law of sine.

Law of sine = [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

So,

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{b}{sinB}[/tex]

[tex]\frac{\sqrt{170} }{sin90}[/tex] =  [tex]\frac{11}{sinB}[/tex]

Sin90 = 1

sinB = [tex]\frac{11}{\sqrt{170} }[/tex]

B = [tex]sin^{-1}[/tex] ([tex]\frac{11}{\sqrt{170} }[/tex])

B = 57.5°

Answer:

-2.8h-26+5d

Step-by-step explanation:

So just combine like terms

For the h, you’d get -2.8

For the d, you’d get 5

For the normal integer, -26

Answer:

8h-7.9d-16+5d-2.9h

5.1h-7.9d-16+5d

=5.1h-2.9d-16

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

Answer:

False

Step-by-step explanation:

supplementary means 180 and right angle is 90 so 180-90 gives us 90 which is also a right angle. So false, acute angle is when the angle is less than 90. If it is excatly 90 then that would be right angle.

Answer:

x= 0, −2, 2+i√3, 2−i√3

Step-by-step explanation:

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Answer:b I’m pretty sure

Step-by-step explanation:

Answer:

[tex]x = \sqrt{y}[/tex]

Step-by-step explanation:

[tex]x^{3/4 } = y^{3/8 }[/tex]

Note that

[tex]x^{3/4 } = \sqrt[4]{x^3}[/tex]

[tex]y^{3/8 } = \sqrt[8]{y^3}[/tex]

So,

[tex]\sqrt[4]{x^3} = \sqrt[8]{y^3}[/tex]

[tex]( \sqrt[4]{x^3} ) ^8= ( \sqrt[8]{y^3} )^8[/tex]

[tex]( \sqrt[4]{x^3} ) ^8= y^3[/tex]

Once

[tex]( \sqrt[4]{x^3} )^8 = (( \sqrt[4]{x^3} )^4)^2= (x^3)^2 = x^6[/tex]

[tex]x^6 = y^3[/tex]

[tex]x = \sqrt[6]{y^3}[/tex]

[tex]x = y^{3\cdot 1/6}[/tex]

[tex]x = y^{1/2}[/tex]

[tex]x = \sqrt{y}[/tex]

Step-by-step explanation:

Polynomial 1:

6x²+2x-3x-1=6x²-x-1

Simplified form =6x²-x-1. Name by degree is quadratic. Name by terms is trinomial

Polynomial 2:

7x²+3x-7x²+4=3x+4. Name by degree is linear.Name by terms is binomial

polynomial 3:

20x²-36x+28-20x²+36x-26

=2.

Name by degree is constant

Answer:

C.) 19

Step-by-step explanation:

abs[-32]=32

abs[-26]=26

abs[19]=19

abs[27]=27

Answer:

C) 19.

Step-by-step explanation:

A is 32,

B is 26,

C is 19,

D is 27.

( in the absolute value form)

C is the only one less.

Hope this helps :D

Answer:

1/4

Step-by-step explanation:

Answer:

Thus, 1/4 is the simplified fraction for 25/100 by using the GCD or HCF method. Thus, 1/4 is the simplified fraction for 25/100 by using the prime factorization method.

Answer:

.49

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

We are given;

Standard Design mean; μ = 18

Sample design mean; x¯ = 15

Standard Standaed deviation; σ = 1.4

Let's find the test statistic from the formula;

z = (x¯ - μ)/σ

Thus;

z = (15 - 18)/1.4

z = -2.14

From the z-table attached, the p-value at z = -2.14 is 0.01618

Thus,

P(X < 15) = 0.01618

Converting to percentage, we have

P(X < 15) = 1.618%

This is approximately 2%

Using the normal distribution, it is found that there is a 2% probability that a fuel injection system will last less than 15 years.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The probability that a fuel injection system will last less than 15 years is 1 subtracted by the p-value of Z when X = 15, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 18}{1.4}[/tex]

[tex]Z = -2.14[/tex]

[tex]Z = -2.14[/tex] has a p-value of 0.02.

0.02 = 2% probability that a fuel injection system will last less than 15 years.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Answer:

b=(3a/(2h)), x=(y-b)/m

Step-by-step explanation:

Simply isolate b ;

a=2/3bh, Divid both sides by 2/3 and h

a/(2/3h)=b, simplify

b=(3a/(2h))

Simply isolate x;

y=mx+b; subtract b from both sides and divide by m

y-b=mx

(y-b)/m=x

Answer:

i think it's (2, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 less than the product of a number squared and 8, translating the expression:

Read the description of the equation carefully: the flower's height h is equal to 12 + 2.25w, where w is the number of weeks that pass.

If w = 0, this means no time has passed, and so h would be the flower's starting height:

12 + 2.25•0 = 12 + 0 = 12

After 1 week, w = 1, its height would be

12 + 2.25•1 = 12 + 2.25 = 14.25

After another week, w = 2, its height would be

12 + 2.25•2 = 12 + 4.5 = 16.5

and so on.

For every week that passes, the flower grows another 2.25 inches, which is exactly what the last option is saying.

Answer:

3

Step-by-step explanation:

1/4(r - 5/2) = 1/8

1/4r - 5/8 = 1/8

1/4r = 1/8 + 5/8

1/4r = 6/8

Divide both sides by 1/4

1/4r ÷ 1/4 = 6/8 ÷ 1/4

1/4r * 4/1 = 6/8 * 4/1

r = 24/8

r = 3

Answer:

3

Step-by-step explanation:

I did it

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter is given by the formula ...

  P = 2(L+W)

  P = 2(4 7/20 +6 2/3) = 2(10 +61/60) = 2(11 1/60)

  P = 22 1/30 . . . . meters

__

The area is given by the formula ...

  A = LW

  A = (4 7/20)(6 2/3) = (87/20)(20/3) = 87/3 = 29 . . . . square meters

The perimeter is 22 1/30 meters; the area is 29 square meters.

Answer:

Each table gets 4 napkins

Step-by-step explanation:

Rate of change

It usually refers to how fast one quantity changes with respect to another. We are given the following information.

After putting napkins on 6 tables, Howard has 124 napkins remaining

After putting napkins on 10 tables, Howard has 108 napkins remaining

This means that Howard used 124-108=16 napkins in 10-6=4 tables.

The rate of change (or rate of use in this case) is 16 napkins/4 tables= 4 napkins per table.

Each table gets 4 napkins

Answer:

D. The product of a constant factor 5 and a 2-term factor x+2

Step-by-step explanation:

Hope that helps

Answer:

5y + 30

Step-by-step explanation:

5(y+6)

5y + 30

Answer:

x = 136.73 feet

Step-by-step explanation:

Given that,

Henry is flying a kite. The kite makes an angle of 43 with the ground. If henry is standing 100 feet from a point on the ground directly below the kite.

We need to find the length of the kite string. It can be calculated by using trigonometry.

The length of the string will be hypotenuse, 100 feet is the base.

The relation between the hypotenuse, base and angle with the ground is given by :

[tex]\cos\theta=\dfrac{\text{base}}{\text{Hypotenuse}}\\\\\cos(43)=\dfrac{100}{x}\\\\x=\dfrac{100}{\cos(43)}\\\\x=136.73\ \text{feet}[/tex]

So, the length of the kite string is 136.73 feet.