Please help - Factor to create an equivalent expression using the GCF: 20x - 10?

Answer:

The equation of the circle is [tex](x + 1)^2 + y^2 = 25[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle of centre [tex](x_c,y_c)[/tex] has the following format:

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

In which r is the radius.

Center (-1,0)

This means that [tex]x_c = -1, y_c = 0[/tex]. So

[tex](x - x_c)^2 + (y - y_c)^2 = r^2[/tex]

[tex](x - (-1))^2 + (y - 0)^2 = r^2[/tex]

[tex](x + 1)^2 + y^2 = r^2[/tex]

Finding the radius:

Distance between the radius and the centre and a point of the circle. In this case, point (2,-4). Using the formula for the distance between two points:

[tex]r = \sqrt{(2-(-1))^2+(-4-0)^2} = \sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex]

So, the equation of the circle is:

[tex](x + 1)^2 + y^2 = 5^2[/tex]

[tex](x + 1)^2 + y^2 = 25[/tex]

Answer:

Step-by-step explanation:

the circumference of the circle, C=2*3.14*r

C=3.14*d

C=3.14*12=37.68

Answer:

Step-by-step explanation:

p/s=5/16

x/4=5/16

x=4(5)/16

x=20/16

x=5/4

x=1.25 pints

Answer: b

Step-by-step explanation:

Answer: The correct answer is B.

Step-by-step explanation: Just rewrite y³ into y·y·y. That gives us y·y·y·y which is y to the 4th power.

Answer:

53

Step-by-step explanation:

20+33= 53

Answer:

5 tens and 3 ones

Step-by-step explanation:

u have 2 tens and 33 ones just add 33 can go as 3 tens and u would have 5 tens and 3 ones that are left over

Answer:

x = -6 and x = 1

Step-by-step explanation:

Move everything to the left side of the equation by subtracting (-10x + 12)

2x² = -10x + 12

2x² + 10x - 12 = 0

Divide each side by 2:

x² + 5x - 6

Find 2 factors of -6 that add up to 5. These factors are 6 and -1

x² + 5x - 6

(x + 6)(x - 1)

Set this equal to 0 and solve for x

(x + 6)(x - 1)

x + 6 = 0

x = -6

x - 1 = 0

x = 1

So, the solutions to the equation are x = -6 and x = 1

The solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1.

To find the solutions to the quadratic equation 2x² = -10x + 12, we can rearrange the equation into standard quadratic form, which is ax² + bx + c = 0.

First, we move all the terms to one side of the equation:

2x² + 10x - 12 = 0

Next, we can solve this equation by factoring, completing the square, or using the quadratic formula. In this case, we'll use factoring.

Looking at the equation, we notice that all coefficients are even, so we can simplify the equation by dividing both sides by 2:

x² + 5x - 6 = 0

Now, we factor the quadratic expression:

(x + 6)(x - 1) = 0

By setting each factor equal to zero, we can find the solutions:

x + 6 = 0 --> x = -6

x - 1 = 0 --> x = 1

Therefore, the solutions to the equation 2x² = -10x + 12 are x = -6 and x = 1. These values make the equation true when substituted back into the original equation.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

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For 0<x<4, the average rate of change will be -60

For 4<x<8 the the average rate of change will be -31

And for the sentence (on savass in order is)

Stay negative, -31, decrease but at a slower rate

In this exercise we have to use the knowledge of functions to describe the average rates of each one of them, so:

For 0<x<4 will be -60

For 4<x<8 will be -31

First, we have to remember what an average rate means, like:

So we can say that:

[tex]0

See more about functions at brainly.com/question/5245372

Answer:

She worked 5 hours a day

Step-by-step explanation:

20 / 4 = 5

You got no graphs btw :/

But hope I help a lil bit :]

Answer:

80 hours

Step-by-step explanation:

20 times 4

Answer:

(44-8) ÷3=

Step-by-step explanation:

Answer:

5 (3a+4)

Step-by-step explanation:

Answer:

49 < x

Step-by-step explanation:

Write an inequality.

Let x be franklin's books

so then,

49 < x is the inequality

Answer:400

Step-by-step explanation:

Answer:

x=1.5

Step-by-step explanation:

No hablo espanol

Answer:

5(x+1)=2(x-2)

5x+5=2x-4

5x-2x=-5-4

3x=-9

x=-3

Step-by-step explanation:

Answer:

x = 5/2 km/h

Step-by-step explanation:

Lets x be the speed of the current

The sea lion's speed with the current: 15 + x

The sea lion's speed against the current: 15 - x

Total distance in km with the current: 35

Total distance in km against the current: 25

Time with the current: 35/(15 + x)

Time against the current: 25/(15 - x)

So we do...

35/(15 + x) - 25/(15 - x) = 0

35(15 - x)/(15 + x) - 25(15 + x)/(15 - x): Having common denominators which is (15 + x)(15 - x)

525 - 35x - 375 - 25x = 0: Mutipling the (15 + x)(15 - x)to 0 getting 0

150 - 60x = 0

30(5 - 2x) = 0

x = 5/2

The speed of the current is 2.5 km/hr

From the given information

Lets x be the speed of the current

Also, we have that;

Total distance in km with the current to be 35 while the total distance in km against the current is 25

mathematically;

Time with the current = 35/(15 + x)

Time against the current =  25/(15 - x)

Equating both expression to get the value of "x

35/(15 + x) = 25/(15 - x) = 0

35/(15 + x) - 25/(15 - x) = 0

35(15 - x)/(15 + x) - 25(15 + x)/(15 - x)

Mutiplying the (15 + x)(15 - x)to have:

150 - 60x = 0

30(5 - 2x) = 0

x = 5/2

x = 2.5

Hence the speed of the current is 2.5 km/hr

Learn more on speed and distance here: https://brainly.com/question/4931057

Answer:

36

Step-by-step explanation:

Answer: 36

Step-by-step explanation: Good luck!!

50 - 2(6+1)

50 - 2(7)

50 - 14

36

Answer:

LCM of 9 and 15 is 45.

Step-by-step explanation:

What is the LCM of 9 and 15?

Find the prime factorization of 9.

Find the prime factorization of 15. 15 = 3 × 5.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5.

LCM = 45.

(hope this helps can i plz have brainlist :D hehe)

Answer:

45

Step-by-step explanation:

the 2nd expression is the answer

Answer: 242.54

Step-by-step explanation: your welcome

Answer: 60.635

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

i dont wanna explain but the answer is 4

Answer:

Given:

x is a factor of y --> , for some non-zero integer ;

y is a factor of z --> , for some non-zero integer ;

So, .

Question: is z even? Note that will be even if either or is even

(1) even --> either even, so the answer is directly YES or is even (or both). But if is even and as then z must be even too (one of the multiples of z is even, so z is even too). Sufficient.

(2) even --> as then as one of the multiples of z even --> z even. Sufficient.

Answer: D.

Answer:

=10

Step-by-step explanation:

40−((5)(2)+(5)(4))

=40−(10+(5)(4))

=40−(10+20)

=40−30

=10

Answer:

Step-by-step explanation:

Here are your workings

4.87 x 7.23  simplify

Step 2

(4.87)(7.23)  Add brackets(Optional)

Then you multiply the two exponents to get 35.2101

Your answer would be 35.2101

Answer:

The answer is n+4. Hope this helps:)