In what form is an equation that relates two proportional quantities x and y?
A.


y=k+x, where k is the constant of proportionality
B.


y=kx, where k is the constant of proportionality
C.


y=kx, where k is the constant of proportionality
D.


y=xk, where y is the constant of proportionality

Answer:

[tex]\overline{GB}[/tex] = 9

Step-by-step explanation:

The given parameters are;

The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G

Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;

[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property

∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that  [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]

Therefore;

ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency

[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex]   by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)

[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency

∴ [tex]\overline{GB}[/tex] = 9.

Answer:

2.3

Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry

Answer: X=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5x+2=12

5x= 12-2

5x= 10

x= 10/5

x=2

Answer:

Ok

Step-by-step explanation:

Go for it

Answer:

he made 11 dollars

Step-by-step explanation:

the number that is touching the h is how much he is making in a hour.

Answer:

x=(8,0)

y=(0,4)

Step-by-step explanation:

Answer:

x=(8,0)

y=(0,4)

Step-by-step explanation:

Hopes this helps

Step-by-step explanation:

7question.

it's the first answer y=x-10/3

8th question

it's also first answer y=x-9/2

Answer:

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Step-by-step explanation:

We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]

First converting mixed fractions into improper fractions

[tex]\frac{7}{3} \times \frac{21}{5}[/tex]

Since 21 is divisible by 3 so, simplifying and multiplying

[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]

So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]

Answer:

It's because someone added LETTERS to math.

Step-by-step explanation:

I know this because I'm suffering from this.

A brainliest for this doggo is a bone! This doggo would appreciate a bone!

M: Mental

A: Abuse

T: To

H: Humans

Answer:

Advancement in human mathematics

Step-by-step explanation:

Answer:

32= 2×2×2×2×2=2 power 5

Answer:

[tex]2^{-5}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]\frac{1}{32}[/tex]

= [tex]\frac{1}{2^{5} }[/tex]

= [tex]2^{-5}[/tex]

Answer:

1/ x +8

*The 1 over x + 8

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

Now let's go back to our original equation and substitute our old expression with the new one:

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

Answer:

24min

Step-by-step explanation:

30-28.32=1.68

1.68/0.07cents=24

Answer:

Check the step-by-step

Step-by-step explanation:

To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

Answer:

I think it is D. 9/15 * 14/20

9514 1404 393

Answer:

  C.  3/10 * 2/5

Step-by-step explanation:

3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.

2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.

The area of overlap is 6 of the 50 small boxes, so represents the product ...

  3/10 * 2/5 = 6/50

Answer:4.4x+10

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

7/x -10 = 3/6

7/x =3/6 +10

7/x = 63/6

42 = 63x

x = 42/63 or 2/3

Answer:

2/3

Step-by-step explanation:

Answer:

you can count by groups of 9 and there would be 4 groups

9 + 9 + 9 +9 = 36 and 36/9 = 4

Answer:

9

Step-by-step explanation:

use pemdas to evaluate..

2x^2 + 1

2(2)^2 + 1

2(4) + 1

8 + 1 = 9

1.[tex]\sqrt{11}[/tex] is less than 3.5

2. [tex]\sqrt{5}[/tex] is more than 2.1

3. -5.3 is more than -5 [tex]\frac{3}{5}[/tex]

4. [tex]\frac{8}{10}[/tex] is less than 0.8 repeating

Answer:Newton's First Law

Step-by-step explanation:

"When the car crashes, there is no unbalanced force acting on the person, so they continue forward (Newton's First Law). The person moves against the seat belt, exerting a force on it. The seat belt then exerts a force back on the person (Newton's Third Law). This causes a controlled deceleration of the person" -google

Answer:

13x-2

Step-by-step explanation:

Answer:

13x - 2

Step-by-step explanation:

6x - 2 + 7x

13x - 2

Answer

p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think

Step-by-step explanation:

The number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons

If Dedra's boat used 5 gallons of gasoline in 4 hours, this is expressed as:

5 gallons = 4 hours

In order to know the number of gallons needed in 10 hours, this is expressed as:

x = 10 hours

Divide both expressions:

5/x = 4/10

4x = 50

x = 50/4

x = 12.5 gallons

Hence the number of gallons of gasoline that the boat will use in 10 hours is 12.5 gallons

Learn more on rate here: https://brainly.com/question/24304697

Answer:

8 hours.

Step-by-step explanation:

If you have the 20 as the fee, you'd only have 40 dollars left. If you do 40/ 5 you'd get your answer of 8 hours.