What is the space between two rays with the same endpoint?

Answer: (2x - 5) • (4x - 1)

STEP 1 : Equation at the end of step 1

(23x2 - 22x) + 5

STEP 2 : Trying to factor by splitting the middle term

2.1 Factoring 8x2-22x+5

The first term is, 8x2 its coefficient is 8 .

The middle term is, -22x its coefficient is -22 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 8 • 5 = 40

Step-2 : Find two factors of 40 whose sum equals the coefficient of the middle term, which is -22 .

-40 + -1 = -41

-20 + -2 = -22 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -2

8x2 - 20x - 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

4x • (2x-5)

Add up the last 2 terms, pulling out common factors :

1 • (2x-5)

Step-5 : Add up the four terms of step 4 :

(4x-1) • (2x-5)

Which is the desired factorization

Final result : (2x - 5) • (4x - 1)

the answer is would have to be 900

The measure of the missing angle in the similar trapezoid is 90°.

In the given trapezoid the measure of angles are 90°, 115°, 90° and 65°.

Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.

Given that, the two trapezoids are similar

Here, the measure of the missing angle in the other trapezoid is 90°

Therefore, the measure of the missing angle in the similar trapezoid is 90°.

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Answer:

expression

Step-by-step explanation:

hope this helps

Answer:

9units²

Step-by-step explanation:

A triangle has 3 sides. Let the length of the three sides be a, b, c.

If the perimeter of the triangle is 18, then;

P = a+b+c

a+b+c = 18... 1

If the sum of the squares of the three side lengths is 128, this means;

a²+b²+c² = 128... 2

Since the triangle is also right angled, according to Pythagoras theorem;

c² = a²+b²... 3 (taking c as the hypotenuse)

Substitute equation 3 into 2;

(a²+b²)+c² = 128

c²+c² = 128

2c² = 128

c² = 128/2

c² = 64

c = √64

c = 8

Substituting c = 8 into 1

a+b+c = 18

a+b+8=18

a+b = 10 ...... 3

Substituting c = 8 into 2

a²+b²+c² = 128

a²+b²+8² = 128

a²+b²+64 = 128

a²+b²= 64..... 4

Solve equation 3 and 4 simultaneously;

a+b = 10

a²+b²= 64

From 4; a = 10-b

Substitute a = 10-b into 4;

(10-b)²+b² = 64

100-20b+b²+b² = 64

2b²-20b+100-64 = 0

2b²-20b+36 = 0

Divide through by 2:

b²-10b+18 = 0

b = 10±√10²-4(18)/2

b = 10±√100-72/2

b =( 10±√28)/2

b =(10±√4×7)/2

b = (10±2√7)/2

b = 5±√7

Hence b = 5+√7

If a+ b = 10

a+(5+√7 ) = 10

a = 10-(5+√7)

a = 10-5-√7

a = 5-√7

Area of the triangle A = 1/2 ab

A = 1/2 × (5+√7) × (5-√7)

A = 1/2 × (25-5√7+5√7-7)

A = 1/2 × (25-7)

A = 1/2 × 18

A = 9

Hence the are of the triangle is 9units²

Answer:

8 groups of 75, 10 groups of 60, 12 groups of 50.

Step-by-step explanation:

600/12=50

600/10=60

600/8=75

The possible groupings are:

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100.

This means,

we need to find three numbers between 10 and 100 that are a factor of  600.

We  can have,

12, 15, 20, 25, 50, 60, 75

We can have,

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

These are the possible grouping we can have,

We can choose any three groupings.

Thus,

The possible groupings are:

50 groups with 12 jellybeans each.

40 groups with 15 jellybeans each.

30 groups with 20 jellybeans each.

24 groups with 25 jellybeans each.

12 groups with 50 jellybeans each.

10 groups with 60 jellybeans each.

8 groups with 75 jellybeans each.

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Answer:

Step-by-step explanation:

(2x - 4)(-3x -4)

-6x^2 - 8x + 12x + 16

-6x^2 + 4x + 16

Answer:

m=8

Step-by-step explanation:

Answer: m=8

Step-by-step explanation:

2m-3=13

Add 3 to -3 and 13 to cancel the number without a variable

-3+3=0 13+3=16

2m=16

Divide 2 on each side

2/2=0 16/2=8

M=8

Answer:

The answer is 14. Not -14.

Step-by-step explanation:

The value of x for the given triangle will be 14.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the perimeter of the equilateral triangle shown is 67.5 inches. One side of the triangle is 1.75x - 2.

Perimeter = 3 ( 1.75x - 2 )

67.5 = 5.25x -6

x = ( 73.5 / 5.25 )

x = 14

Therefore, the value of x for the given triangle will be 14.

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Answer:

Midpoint of XY = ( - 5, - 3)

Step-by-step explanation:

[tex]Midpoint \: of \: XY \\ = \bigg( \frac{ - 2 + ( - 8)}{2}, \: \frac{3 + ( - 9)}{2} \bigg) \\ = \bigg( \frac{ - 2 - 8}{2}, \: \frac{3 - 9}{2} \bigg)\\ = \bigg( \frac{ - 10}{2}, \: \frac{ - 6}{2} \bigg)\\ Midpoint \: of \: XY = ( - 5, \: - 3)[/tex]

The probability of an event is a number from 0 to 1 that measures the chance that an event will occur. In this lesson, we will look into experimental probability and theoretical probability.

The following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

he following table highlights the difference between Experimental Probability and Theoretical Probability. Scroll down the page for more examples and solutions.

Experimental vs Theoretical Probability

How to find the Experimental Probability of an event?

Step 1: Conduct an experiment and record the number of times the event occurs and the number of times the activity is performed.

Step 2: Divide the two numbers to obtain the Experimental Probability

How to find the Theoretical Probability of an event?

The Theoretical Probability of an event is the number of ways the event can occur (favorable outcomes) divided by the number of total outcomes.

Answer:Let n = the smallest integer

Then the other integers are n+1, n+2, n+3 and n+4

Sum = n + n+1 + n+2 + n+3 + n+4 = 5n + 10 = 5(n + 2)

So the sum is always divisible by 5, for any value of n

Step-by-step explanation:

Answer:

2,4,6,8,12,16

Because it is 2 times 3 equals 6

2 times 1 equals 2

2 times 2 equals 4

2 times 8 equals 16

2 times 3 equals 6  

2 times 4 equals 8

2 times 6 equals 12

and they are all a factor of 2

Answer:

f(x)=24

Step-by-step explanation:

Replace x in the function with the value 4.

f(4)= (4)^2 + 3(4) - 4  

16 + 12 -4

28 - 4

F(x)= 24

Answer:

The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.  

Let's say M is equal to 3, N is equal to 1, and P is equal to 2. All together these spaces add up to 6 which can be evenly space out or distributed unevenly.  

Like M:N= 3:1 or N:P = 1:2. As you can tell all together (all you have to do is add 3&1 or 1&2) you'll get the result of 4 or 3 and they aren't similar. Let me know if this helps!  I know sometimes seeing technically terms and numbers can be difficult so I tried to explain with words as best I could. Good luck to you.

Answer:

Do you have a picture of the problem, please?

Step-by-step explanation:

Only then, can I edit this and provide an accurate answer! ;D

Answer:

x=7

Step-by-step explanation:

x=7

Answer:

x = 5

Step-by-step explanation:

Given

x + 5 = 10 ( isolate x by subtracting 5 from both sides )

x = 5

Answer:

1/2

Step-by-step explanation:

y =  kx

where k is the constant of proportionality

y = 1/2 x  so k= 1/2

4,383  I hope I got that right, Hope it helps!

Answer:

MN = 68

Step-by-step explanation:

LN = 91

LM = 23

Points L, M, and N are collinear, therefore, according to the segment addition postulate, the following can be deduced:

LM + MN = LN

23 + MN = 91 (Substitution)

Subtract 23 from both sides

23 + MN - 23 = 91 - 23

MN = 68

Answer:the answer is 7.5 if you need to round it up it’ll be 8 if you need it as a fraction it’ll be 7 1/2

Step-by-step explanation:

Answer:

The anwser is 6.01176470588

Answer:

Step-by-step explanation:

6x + 2y = 26

5x - 2y = 7

11x = 33

x = 3

3(3) + y = 13

9 + y = 13

y = 4

(3,4)

Answer:

Step-by-step explanation:

(4 + 4)/2 = 8/2= 4

(8 + 6)/2= 14/2= 7

(4, 7) the midpoint

5x-7y=58

y=-x+2

5x-7y=58

5(6)-7y=58

30-7y=58

-7y=58-30

-7y=28

y= -4

Answer:

x = 6, y = -4

Step-by-step explanation:

Khan Academy

Answer:

A. 40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

Answer:

he is right^ A.

Step-by-step explanation:

Answer:

8      x = 17

9      x = 36

10     x = 10

Step-by-step explanation:

8

(6x + 5) + (4x+5) = 180

6x + 4x = 180 - 5 - 5

10x = 170

x = 170/10

x = 17

9

2x + 1 = 73

2x = 73 - 1

2x = 72

x = 72/2

x = 36

10

(3x+7) + 53 = 90

3x = 90 - 53 - 7

3x = 90 - 60

3x = 30

x = 30/3

x = 10

Answer:

8) i have no clue

9) x=36

10) x=10

Step-by-step explanation:

9) 73-1=72

72/2=36

x=36

10) 3x+7

90-53=37

37-7=30

30/3

x=10

Answer:

5n is a term= true

3m and 5n are NOT like terms=true

these are the correct answers

Step-by-step explanation:

these are the wrong ones

a variable would be m or n

coefficients would be 3 and 5