Given: R is the midpoint of QT , QS=TS

Prove: RQS = RTS

Reasons

Statements

1.

2.

2.

4.

5.

5.

Answer:

4m+8

Step-by-step explanation:

7m+2-3m+6

combined the 7m and the 3m to get 4m

And combined the 2 and 6 to get 8

then add them to together and get 4m+8

Answer:

0.5

Step-by-step explanation:

Answer:

[tex]\displaystyle g=\frac{4\pi^2l}{T^2}[/tex]

Step-by-step explanation:

Equation Solving

Given the equation

[tex]\displaystyle l=\frac{gT^2}{4\pi^2}[/tex]

It's required to solve it for g. Let's swap sides of the equation:

[tex]\displaystyle \frac{gT^2}{4\pi^2}=l[/tex]

Multiply by [tex]4\pi^2[/tex] to remove the denominator:

[tex]\displaystyle gT^2=4\pi^2l[/tex]

Divide by [tex]T^2[/tex]

[tex]\boxed{\displaystyle g=\frac{4\pi^2l}{T^2}}[/tex]

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

Answer: If you're talking about fractions, then it's 2/3.

Step-by-step explanation:

Step one is to divide.  Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.  And you should get your answer.

Answer:

J=61

Step-by-step explanation:

J-18=43

+18 +18

J =61

Answer:

The explanatory variable is the type of program the people watched. The response variable is the number of calories consumed. This was an experiment.

Answer:

y - 5 = -3(x - 12)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (12, 5)

Slope m = -3

Step 2: Write Function

Plug in variables into the general formula.

Answer:

Answer is the first one

Step-by-step explanation:

Method A will be best to prove the condition, "the sum of any two rational numbers is a rational number."

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that, Milos is trying to prove that the sum of any two rational numbers is a rational number

Two rational numbers added together make rational number.As a result, adding two rationals is equivalent to adding two of these fractions, which will produce a new fraction with the same form since integers are closed under addition and multiplication. As a result, multiplying two rational numbers results in another rational number.

Thus method A will be best to prove the condition, "the sum of any two rational numbers is a rational number."

Learn more about the irrational number here:

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Answer:

Step-by-step explanation:

Below numbers are divisible by the number of students:

Lets find GCF of 24 and 36:

The largest possible number of students is 12

Answer:

q = 4p - 32

Step-by-step explanation:

P = 1/4q + 8

Making q the subject

P - 8 = 1/4q

Divide both sides by 1/4

q = (p - 8) ÷ 1/4

= (P - 8) × 4/1

= 4p - 32

q = 4p - 32

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

you have the answer right

Answer:

x=y

y=x

y=2

x=2

(3)(2)

3 times 2 is 6

Step-by-step explanation:

Answer:

8 x 3

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3 x 8 = 24

Answer:

56

Step-by-step explanation:

Answer:

my 16 inch

Step-by-step explanation:

Answer:

15x + 9 (We combing like terms. Ex. 16x and -x)

Answer:

15x+9

Step-by-step explanation:

16x+7+2-x

16x-x+7+2

15x+9

Answer:

x > -5

Step-by-step explanation:

[tex] - 6x > 30 \\[tex] 6x < - 30 \\ \frac{ 6x}{ 6} < \frac{- 30}{ 6} \\ x < - 5[/tex]

Answer:

x=-5, y=-1

Step-by-step explanation:

Substitute x=-4+y into -2x-5y=15. So we have

-2(-4+y)-5y=15

8-2y-5y=15

-7y=7

y=-1

And x is -4+y so x= -4+(-1)= -5.

Answer:

6:5

18:15

Step-by-step explanation:

Answer:

a and b

Step-by-step explanation:

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r

H and k are the x and y coordinates of the center of the circle and r is the radius.

You are given the diameter coordinates so find the halfway point for the center then calculate the radius

Midpoint = (x1 +x2)/2, (y1 + y2)/2

Midpoint = (7 + -1)/2, (-3 +7)/2

Midpoint = 6/2, 4/2

Midpoint = 3,2

So h = 3 and k = 2

Now find radius by finding the distance between the center point and an end point.

Distance = sqrt(41)

Equation of the circle:

(X-3)^2 + (y-2)^2 = 41

Answer:

The equation of the circle is written as:

(x-h)²+(y-k)²=r²

'h' and 'k' are the x and y coordinates of the center of the circle and 'r' is the radius.

You are given that the diameter coordinates, so find the halfway point for the center then calculate the radius

[tex]Midpoint = ( \frac{x_1 + x_2 }{2}, \frac{y_1 + y_2}{2} ) \\ = ( \frac{7 + ( - 1)}{2} , \frac{ (- 3 )+ 7}{2} ) \\ = ( \frac{6}{2} ,\frac{4}{2} ) = (3,2)[/tex]

So, h=3 and k=2

Now find the radius by finding the distance between the center point and the end point.

Distance=√{(7-3)²+(-3-2)²}=√{(4)²+(-5)²} =√{16+25}=√41

Equation of the circle:

(x-3)²+(y-2)²=41 ✓

Answer:

3 1/5

Step-by-step explanation:

.....

Answer:

<BCA = 44.4°

Step-by-step explanation:

Reference angle = <BCA = C

Opposite side length = x = 7 cm

Hypotenuse = y = 10 cm

Applying trigonometric ratio, we would have:

[tex] sin(C) = \frac{7}{10} [/tex]

[tex] C = sin^{-1}(\frac{7}{10}) [/tex]

[tex] C = 44.427004 [/tex]

<BCA = 44.4° (to 3 SF)