Please help me out!​

Question:

Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

[tex]T(4,5)[/tex]

Step-by-step explanation:

Given

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Required

Determine the coordinates of T

The coordinates of T can be represented as [tex]T(x,y)[/tex]

To do this, we simply solve for x and y

[tex]x = \frac{1}{2}(6 - 2) + 2[/tex]

Solve 6 - 2

[tex]x = \frac{1}{2}*4 + 2[/tex]

Solve 1/2 * 4

[tex]x = 2 + 2[/tex]

[tex]x = 4[/tex]

[tex]y = \frac{1}{2}(4 - 6) + 6[/tex]

Solve 4 - 6

[tex]y = \frac{1}{2}*-2 + 6[/tex]

Solve 1/2 * -2

[tex]y = -1 + 6[/tex]

[tex]y = 5[/tex]

Hence, the coordinates of T(x,y) is:

[tex]T(x,y) = T(4,5)[/tex]

Answer:

C

Step-by-step explanation:

Answer: Vertex is (-7/2, -81/4)

Axis of synmentary is x= -7/2

Directrix is y= -41/2

Step-by-step explanation:

Its on google

Answer:

x = 60

Step-by-step explanation:

Given: L ∥ M and the line going through them is transversal

The sum of the interior angles on the same side of a transversal is equal to 180 degrees; therefore, (2x + 5) degrees + (x - 5) degrees = 180 degrees.

2x + 5 + x - 5 = 180

2x + x + 5 - 5 = 180

3x + 0 = 180

3x = 180

x = 180/3

x = 60

Double Check:

2(60) + 5 + (60) - 5 = 180 degrees

120 + 5 + 55 =

125 + 55 =

180 degrees

180 degrees = 180 degrees

Answer: The Answer is 64

Step-by-step explanation: there  isnt  much really to it

Answer:

The answer is 64

Step-by-step explanation:

If you need me to explain my answer let me know.

Answer:

Below.

Step-by-step explanation:

(a)  There 8 possible outcomes.

HHH TTT HHT HTH THH TTH THT HTT

(b) Prob(No Heads)

= Prob(TTT)

= 1/8.

(c) Possible outcomes of at least 2 tails are:

TTT, TTH THT HTT = 4

So Probability of this  is 4/8 = 1/2.

the percentage is 75%

because 90 divided by 120 is 0.75.

Answer:

P(Pair of dice greater than 7) = 5/12

Step-by-step explanation:

When rolling a pair of dice, there are 36 combinations for the rolls.

(1,1), (1,2), (1,3), .... (2,1), (2,2), .... (6,1), ... (6,6)

Of those, there are 15 where the total is greater than 7.

15/36 = 5/12

#1 #2 Sum > 7

1 1 2 FALSE

1 2 3 FALSE

1 3 4 FALSE

1 4 5 FALSE

1 5 6 FALSE

1 6 7 FALSE

2 1 3 FALSE

2 2 4 FALSE

2 3 5 FALSE

2 4 6 FALSE

2 5 7 FALSE

2 6 8 TRUE

3 1 4 FALSE

3 2 5 FALSE

3 3 6 FALSE

3 4 7 FALSE

3 5 8 TRUE

3 6 9 TRUE

4 1 5 FALSE

4 2 6 FALSE

4 3 7 FALSE

4 4 8 TRUE

4 5 9 TRUE

4 6 10 TRUE

5 1 6 FALSE

5 2 7 FALSE

5 3 8 TRUE

5 4 9 TRUE

5 5 10 TRUE

5 6 11 TRUE

6 1 7 FALSE

6 2 8 TRUE

6 3 9 TRUE

6 4 10 TRUE

6 5 11 TRUE

6 6 12 TRUE

Answer:

5/12

Step-by-step explanation:

I can’t really explain it. I did the same problew though.

Answer:

Please, see the explanation.

Step-by-step explanation:

DETERMINING THE EQUATION FOR THE FIRST TABLE

Given the first table

x                     y

-5                   10

-1                    2

0                    0

11                   -22

From the given equation, we can verify and determine that

[tex]y=-2x[/tex] is the required equation that satisfies the table values of the first table.

substituting the table values of all the ordered pairs to check

FOR (-5, 10)

y =-2x

10 = -2(-5)

10 = 10

L.H.S = R.H.S

FOR (-1, 2)

y =-2x

2 = -2(-1)

10 = 2

L.H.S = R.H.S

FOR (0, 0)

y =-2x

0 = -2(0)

0 = 0

L.H.S = R.H.S

FOR (11, -22)

y =-2x

-22 = -2(11)

-22 = -22

L.H.S = R.H.S

As all the ordered pairs of the first table satisfy the equation.

Hence, [tex]y=-2x[/tex] is the equation for the first table.

DETERMINING THE EQUATION FOR THE SECOND TABLE

Given the first table

x                     y

-8                   -11

-2                    -5

1                      -2

7                      4

From the given equation, we can verify and determine that

[tex]y=x-3[/tex] is the required equation that satisfies the table values of the second table.

substituting the table values of all the ordered pairs to check

FOR (-8, -11)

y =x-3

-11 = -8-3

-11 = -11

L.H.S = R.H.S

FOR (-2, -5)

y =x-3

-5= -2-3

-11 = -5

L.H.S = R.H.S

FOR (1, -2)

y = x-3

-2= 1-3

-2 = -2

L.H.S = R.H.S

FOR (7, 4)

y = x-3

4 = 7-3

4 = 4

L.H.S = R.H.S

As all the ordered pairs of the second table satisfy the equation.

Hence, [tex]y = x-3[/tex] is the equation for the second table.

Therefore, the equations are:

[tex]y=-2x[/tex]

[tex]y = x-3[/tex]

Now, let us solve to determine the solution

[tex]\begin{bmatrix}y=-2x\\ y=x-3\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+2x=0\\ y-x=-3\end{bmatrix}[/tex]

[tex]y-x=-3[/tex]

[tex]-[/tex]

[tex]\underline{y+2x=0}[/tex]

[tex]-3x=-3[/tex]

[tex]\begin{bmatrix}y+2x=0\\ -3x=-3\end{bmatrix}[/tex]

solving

[tex]-3x=-3[/tex]

[tex]\frac{-3x}{-3}=\frac{-3}{-3}[/tex]

[tex]x=1[/tex]

For [tex]y+2x=0[/tex],  plugin [tex]x = 1[/tex]

[tex]y+2\cdot \:1=0[/tex]

[tex]y+2=0[/tex]

[tex]y=-2[/tex]

Therefore, the solution to the system of equations are:

[tex]y=-2,\:x=1[/tex]

Answer:

solving the inequality we get [tex]x < 14[/tex]

Step-by-step explanation:

We need to solve the inequality A number times two is less than 20 + 8

Let the number be x

The inequality will be:

2x < 20+8

Now solving the inequality to find the value of x

[tex]2x < 20+8\\2x < 28\\x<\frac{28}{2}\\x<14[/tex]

So, solving the inequality we get [tex]x < 14[/tex]

In figure a I am attaching the number line for solution.

In figure b I am attaching the graph for solution.

Answer:

5

Step-by-step explanation:

within the brackets do the parentheses (14-12)=2

according to PEMDAS, multiply first 2x3 to get 6

then add 3

you end up with 9 in the brackets so now all that’s left is 45/9 which is 5

The central angle of the circle is given by the equation A = 120°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the center of the circle be O

Let the arc be represented as AB

Let the angle be represented as ∠AOB

Now , ∠AOB is a central angle with an intercepted minor arc from A to B.

Substituting the values in the equation , we get

m∠AB = 120º

The measure of the central angle ∠AOB = measure of m∠AB

So ,

The measure of the central angle ∠AOB = 120°

Hence , the central angle is 120°

To learn more about central angle click :

https://brainly.com/question/11877137

#SPJ2

Answer:

See attached

Step-by-step explanation:

The answer is in below picture

Answer:

hey look up it up it's  better

Step-by-step explanation:

Answer:

f(-5) = 35

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 10

f(-5) is x = -5

Step 2: Evaluate

Answer:

22

Step-by-step explanation:

if a=15

then, 2(a-5)+2= 2(15-5)+2 = 2(10)+2= 20+2=22

the answer is x=-4 hope it helps

Answer:

8

one fourth

2

4

Step-by-step explanation:

hope with helped ^^

Answer:

a) 15

b) 97/2

Step-by-step explanation:

a) f(g(6))

  g(6) = 6

   2(6)+3

    12 + 3

      15

b) gf(x) = 10

    2x+3

    2x+3 = 100

    2x = 97

     x = 97/2

Answer:

Mixed number: 6 1/100

Improper Fraction: 601/100

Step-by-step explanation:

Hope this helps!

Answer:

Mixed number: [tex]6\frac{1}{100}[/tex]

Improper fraction: [tex]\frac{601}{100}[/tex]

Step-by-step explanation:

A mixed number is a fraction that contains an integer and fraction part. An improper fraction is a fraction where the numerator is larger than the denominator.

[tex]6.01[/tex] can be written in the from [tex]\frac{601}{100}[/tex]. This is an improper fraction since the numerator is greater than the denominator.

The mixed number is [tex]6\frac{1}{100}[/tex] since [tex]100[/tex] goes into [tex]601[/tex] six full times with [tex]1[/tex] as the remainder.

Hope this helps :)

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

Given:

Find:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

Solution:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

Your working is correct, but incomplete. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

Answer:

y=0x+1

Step-by-step explanation:

Hope this helps!(^-^)

Answer: either -4,1 (+) 6 or 2,1 (-) 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x+4=10x-11

4=3x-11

15=3x

x=5

Answer:

5. Slope: 2

y-intercept:(0,-6)

y=2x-6

6. Slope:1

y-intercept:(0,-1)

y=x-1

Answer:

m=24

Step-by-step explanation:

First, we can combine like terms:

m/(5-2)=8

m/3=8

Now, we need to get m by itself. To do this, multiply by 3:

m/3*3=8*3

m=24

50

50 ÷ 5 = 10, 10-2 =8

kdjrjrjdjjfhrhy to truth thhrjrhejd

Step-by-step explanation:

Area of a triangle= 1/2breadth × height

Answer:

9, 30, and 15.

Step-by-step explanation:

Let the three numbers be a, b, and c.

The sum of them is 54. So:

[tex]a+b+c=54[/tex]

The third number is 6 more than the first. In other words, c=a+6.

The second number is twice the third. In other words, b=2c.

Let’s write the second number in terms of a. Since b=2c, this means that b=2(a+6).

Let’s substitute them into our equation. So:

[tex]a+2(a+6)+(a+6)=54[/tex]

Solve for a. Distribute:

[tex]a+2a+12+a+6=54[/tex]

Combine like terms:

[tex]4a+18=54[/tex]

Subtract 18 from both sides:

[tex]4a=36[/tex]

Hence, the value of a is:

[tex]a=9[/tex]

So, the first number is 9.

The third number is 6 more than the first, so the third number is 15.

The second number is twice the third. So, the second number is 30.

Therefore, our numbers are:

9, 30, and 15.

Answer:

x = 6

Step-by-step explanation:

Answer:

1) 1[tex]\frac{1}{8}[/tex]

2) 2[tex]\frac{5}{7}[/tex]

3) 1[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

Step-by-step explanation:

4 7/8 + __ = 6

__ = 6 - 4 7/8

__ = 1 1/8

3 2/7 + __ = 6

__ = 6 - 3 2/7

__ = 2 5/7

3 1/9 + __ = 5

__ = 5 - 3 1/9

__ = 1 8/9

Topic: Fractions

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

[tex] {x}^{3} - {x}^{2} + x - 1 + \frac{2}{x + 1} [/tex]

lmk if u want an explanation for this I can try type it out

Answer:

[tex]x^3-x^2+x-1+\frac{2}{x+1}[/tex]

Step-by-step explanation:

See the picture attached.

Notice how I set up [tex]x^4+1[/tex] as [tex]x^4+0x^3+0x^2+0x+1[/tex], as it makes it easier to solve.

Also, notice that the 2 as the remainder doesn't have anything else to divide to, so that means there will be an extra term [tex]\frac{2}{x+1}[/tex] in the end of the answer.