By using the equation below complete the square, write the equation of the circle in standard form from the following equation. Then determine the center and radius of
a circle.

10y + x2 = -18+ 5x - y2

Answer:

answer will be 5/17 as I have just substitute the number

The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to[tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex]  is  [tex]\frac{180}{51}.[/tex]

Ratio is used to compare to things i.e. numbers, size etc.

We have,

[tex]\frac{a}{b} = \frac{6}{1}[/tex]  and  [tex]\frac{b}{c} = \frac{12}{1}[/tex]

From the above given data we have to make value [tex]b[/tex] same in both ratios;

Therefore multiply [tex](\frac{a}{b})[/tex] ratios from [tex]12[/tex],

We get,

[tex]\frac{a}{b} = \frac{72}{12}[/tex]   and   [tex]\frac{b}{c} = \frac{12}{1}[/tex]

So,

[tex]a=72,\\b=12,\\c=1[/tex]

Now, putting above values in [tex]\frac{2a + 3b}{4b + 3c}[/tex],

[tex]=\frac{2(72) + 3(12)}{4(12)+ 3(1)}[/tex]

[tex]=\frac{180}{51}[/tex]

Hence we can say that The ratio of [tex]a[/tex] to [tex]b[/tex] is [tex]6[/tex] to [tex]1[/tex] and the ratio of [tex]b[/tex] to [tex]c[/tex] is [tex]12[/tex] to [tex]1[/tex], then the value of [tex]\frac{2a + 3b}{4b + 3c}[/tex]  is  [tex]\frac{180}{51}.[/tex]

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Answer:

D. 15yd^2

Step-by-step explanation:

Area of triangle: A = bh/2

A = 10(3) / 2

A = 30 / 2

A = 15yd^2

Answer:

b=-3

Step-by-step explanation:

hope this helps!

Answer:

(-2, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

6x - y = -14

-2x + y = 6

Step 2: Solve for x

Elimination

Step 3: Solve for y

Answer:

The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

The percentage rate of change is 2%

Step-by-step explanation:

The formula of the exponential growth is y = a [tex](1+r)^{x}[/tex], where

The formula of the exponential decay is y = a [tex](1-r)^{x}[/tex], where

Let us solve the question.

∵ y = 5 [tex](.98)^{x}[/tex]

→ Compare it with the forms above

∴ a = 5

∵ The rate of change is .98

∵ .98  < 1

→ That means the rate of change is decreasing

∴ The function y = 5 [tex](.98)^{x}[/tex] represents exponential decay

→ From the 2nd form above

∵ (1 - r ) = .98

→ Subtract 1 from both sides

∴ 1 - 1 - r = .98 - 1

∴ - r = - .02

→ Divide both sides by -1

∴ r = .02

→ Multiply it by 100% to change it to a percentage

∵ .02 × 100% = 2%

∴ r = 2%

∴ The percentage rate of change is 2%

Answer:ahhhh

Step-by-step explanation:

I hope this helps

Answer:

b

Step-by-step explanation:

To find the y- intercept, let x = 0 in the equation and solve for y, that is

y = [tex]log_{10}[/tex](0 + 100) - 4

  = [tex]log_{10}[/tex] 100 - 4

  = 2 - 4

 = - 2 ← y- intercept → b

The y-intercept of the function y = log (x + 100) - 4 is -2

The y-intercept is the point where the line intersects the y-axis.

Given a function, y = log (x + 100) - 4

Solving for the y- intercept,

Let x = 0 in the equation and solve for y, that is

y = log(0 + 100) - 4

=  log100 - 4

= 2 - 4

= -2

Hence, The y-intercept of the function y = log (x + 100) - 4 is -2

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Answer:

2 1/3

Step-by-step explanation:

1 3/4  is equivalent to 7/4

1 1/3 is equivalent to 4/3

7/ 4 x 4/3

reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )

now you're left with 7 x 1/3 = 7/3

7/3 = 2 1/3

The product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

The given mixed fractions are [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{3}[/tex].

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their denominators / Product of their numerators.

Here, the mixed fraction [tex]1\frac{3}{4}[/tex] can be written as [tex]\frac{7}{4}[/tex] and the mixed fraction [tex]1\frac{1}{3}[/tex] can be written as [tex]\frac{4}{3}[/tex].

Now, 7/4 × 4/3

= 7/3

= [tex]2\frac{1}{3}[/tex]

Therefore, the product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

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Answer:

The missing angle is about 27.92°.

Step-by-step explanation:

This is a tangent equation, as there is no hypotenuse value. I'll use x as the missing angle.

tan(x) = opposite/adjacent

tan(x) = 20/38

tan(x) = 0.52631578947368421052631578947368

tan(x) ≈ 0.53

Now, we have to reverse.

tan⁻¹(0.53) = x

27.92358972 = x

x ≈ 27.92°

in right angle traingle two angle are equal

so.x=y

in triangle

x+y+90=180(sum of interior angle of triangle)

2x=180-90

x=90/3=45°

Answer:

8x^3y^9

Step-by-step explanation:

just multiply 4 by 2. then, add each exponent. for example, there is x² and there is x, so do x² × x = x³. then do y³ × y^6 = y^9.

Answer:

J and I

Step-by-step explanation:

anything els?.... let me know

Answer:

[tex]\frac{8}{9} /12=\frac{2}{27}[/tex]

The GCF of 45 and 60 is 15

The GCF of 20 and 32 is 4  

The GCF of 16 and 24 is 8

Answer:

B. no correlation

Step-by-step explanation:

Answer:

2% are purple

Step-by-step explanation:

36/1800 = 0.02 = 2%

Answer:

I think...

its 98% of the flags that are NOT purple

Step-by-step explanation:

36 of 1800 is 2%

Answer:

1/4

Step-by-step explanation:

Scale factor = 3/12 = 1/4

Answer:

12

Step-by-step explanation:

12 is a two digit #

Answer:

first of all there are many ways to compare numbers. example

I don't know how to compare them but I try my best

Step-by-step explanation:

the first 3 numbers have only one digit but the 4th has 2 digits.but it in my opinion you don't want this answer.

so this is not the reason

3 have 2 factor

6 have 4 factor

9 have 3 factor

12 have 5 factors

so as the number increase the factors should increase but 9 has less factors than 6 .so I think 9 is the different one

Answer:

Concept: Modeling expressions

The height of the object that falls after 0.75 seconds given that t is represented in seconds is 191 feet.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The expression 200 - 16t^2 models the height in feet of an object that falls from the initial height of 200 feet t seconds after being dropped.

We need to find the time after 0.75 seconds given that t is represented in seconds.

The expression is given

[tex]200 - 16t^2[/tex]

time t = 0.75

Substitute the value of t in the given expression

= 200 - 16(0.75)^2

= 200 - 9

= 191

Hence we get the answer to 191 feet.

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Answer:

16/21

Step-by-step explanation:

Divide both sides by 7 to get 1/8

2/3 = 7/8

1/7 x 2/3 = 7/8 x 1/7

2/21 = 1/8

Then multiply both sides by 8 to get 8/8 which is 1

8/1 x 2/21 = 1/8 x 8/1

16/21 = 1

Answer:

So... This is it

1. JK = LM, JKM = LMK -> This is given information.

- From this given information, we know:

1. 2 congruent sides

2. 2 congruent angles

Now all we have to do is find one more side to prove SAS triangle congruence.

Next, we notice that the side MK is used by both the triangles we are trying to prove congruent. So we can say "MK = MK" by the reflexive property. (Since they share the same side).

Then, we can say triangle JMK is = triangle LKM because of SAS congruence.

*Please note the = signs I used should be actually congruence signs*

Answer:

ans of an 1 is option b

Step-by-step explanation:

because x and y both are +ve

Answer:

you need a dotted point starting at 3 and going to to the right

Step-by-step explanation:

the dotted point means x < , x > and since it is greater you always go to the right

Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.

Answer:

A

Step-by-step explanation:

Both of them Equal 4