ppppppllllllssss hhhhheeeeellllppppp

midpoint of the line segment is (1/2 , -3)

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Let (a1, b1) and (a2, b2) be the ending point of the line segment. The midpoint formula of a line segment joining these two points is given as:

(a , b ) = ((a₁ +a₂)/2 , (b₁ +b₂)/2)

Here ,

a₁ =-2

a₂=3

b₁=-1

b₂= -5

(a , b ) = ((-2 +3)/2 , (-1 -5)/2)

(a , b ) = (1/2 , -3)

midpoint of the line segment is (1/2 , -3)

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Step-by-step explanation:

[tex]7x < 67 - 32 \\ 7x < 35 \\ \frac{7x}{7} < \frac{35}{7} \\ x < 5[/tex]

The height (h) of this rectangular prism is equal to 3 units.

Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

In order to determine the height (h) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:

d² = l² + b²

d² = 4² + 3²

d² = 16 + 9

d² = 25

d = √25

d = 5 units.

Therefore, the diagonal of the base of this rectangular prism is equal to 5 units.

Now, we can determine the height (h) of this rectangular prism:

x² = d² + h²

h² = √34² - 5²

h² = 34 - 25

h² = 9

h = √9

Height, h = 3 units.

Therefore, the height (h) of this rectangular prism is equal to 3 units.

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first off let's recall that 4³ = 64, and that i⁴ = 1, so

[tex]i^{64}\implies i^{4^3}\implies i^{4\cdot 4\cdot 4}\implies i^{4\cdot 16}\implies (i^4)^{16}\implies (1)^{16}\implies \text{\LARGE 1}[/tex]

The following statement that if n is a real  number, then 0n = 0 is always true.

The given question states that we have to determine whether the given statement is always true or sometimes true or never true.

The statement given in this question is that if n is a real number, then 0 n = 0.

To solve this question, it us important that we are familiar with real numbers.

Real numbers comprise of both rational numbers as well as irrational numbers. Rational numbers include natural number, whole numbers, fractions, etc. while irrational numbers consist of recurring decimal numbers such as √3, pi, etc.

We know that any real number multiplied with 0 will always return 0 as the answer.

Hence, we can say that the statement that if n is a real number, then 0 n = 0 is always true.

Therefore, we get the following statement that if n is a real number, then 0n = 0 as always true.

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Answer:

7

Step-by-step explanation:

7x(92+7) = 693

(7x92) = 644

(7x92) +

(7x7) = 49

644 + 49 = 693

Answer:

It is not a function because the number 1 repeats twice (If the numbers in the domain repeat then it is not a function)

The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

What is Number system?

A system of writing to express the number is called number system.

Now, Let a number is 'n'

Then, The difference between a number (n) and eleven is,

11 - n

And, Find the mathematical expression of all the statement as;

Let x is a number.

1. a number minus five = x - 5

2. five more than a number = x + 5

3. the sum of a number and five = x + 5

4. a number increased by five = x + 5

So, Clearly the exception statement is;

''a number minus five''

Therefore, The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

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The page number of left page is 213

The page number of right page is 214.

Given,

The left and right page numbers of an open book are two consecutive integers.

We can take:

The left page number = n

The right page number = n + 1

The sum of the page numbers = 427

That is,

n + (n + 1) = 427

We can solve this equation:

n + (n + 1) = 427

2n + 1 = 427

2n = 427 -1

2n = 426

n = 426/2

n = 213

n + 1 = 213 + 1 = 214.

Therefore,

The left page number is 213 and right page number is 214.

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On combining the radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex] we get the answer

- 2[tex]\sqrt{2}[/tex].[tex]\sqrt{2}[/tex]

Square Root : The root of a number in math is a number that when multiplied by itself produces the original number. For example, the square root of 49 is 7 because 7×7=49. In this case, because 7 is multiplied by itself twice to produce 49, we call 7 the square root of 49.

Given are the two radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex]

Explanation:

Subtracting both the numbers, we get

= 3[tex]\sqrt{2}[/tex] + (- 5[tex]\sqrt{2}[/tex])

opening brackets, we get

= 3[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{2}[/tex]

Taking common [tex]\sqrt{2}[/tex] from both the digits, we get

= ( 3 - 5 )  [tex]\sqrt{2}[/tex]

On subtracting, we get

= - 2[tex]\sqrt{2}[/tex]

Therefore, on combining the radicals 3[tex]\sqrt{2}[/tex] and -5[tex]\sqrt{2}[/tex] we get the answer

- 2[tex]\sqrt{2}[/tex].

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Answer:  w< -17

Step-by-step explanation:

Answer:

a.)

Step-by-step explanation:

|2x - 2| > 2 (greater than 2)

the dilution set is the set of all x values, for which this inequality is true.

and that means

|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.

the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.

so, only the values of |2x - 2| higher than 2 keep the inequality true.

so, a.) is the right answer. it is above the line.

b.) below would mean "< 2".

c.) intersects would mean "= 2".

d.) does not intersect would mean "<> 2".

please consider, the intersection points with the line are NOT included, because we have "> 2".

if we had to include the intersection points, it would have to be ">= 2".

No extraneous solution to the equation.

The equation is

[tex](2x + 3)^{1/2}[/tex] - 7 = 0

To find whether the equation has an extraneous solution, first we have to find the value of x.

[tex](2x + 3)^{1/2}[/tex] = 7

Squaring both sides, we get

2x + 3 = 49

2x = 46

x = 23

Now put the value of x in the equation,

[tex](2 * 23 + 3)^{1/2}[/tex] - 7 = 0

[tex](46 + 3)^{1/2}[/tex] - 7 = 0

[tex]49^{1/2}[/tex] - 7 = 0

7 - 7 = 0

0=0

Therefore we get that there is no extraneous solution to the equation, x= 23 is the solution of the equation.

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It depends on the situation being modeled.

Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.

Then t=8.33s is the time when the object reached the maximum height.

The maximum height is the y-value of the vertex, which is 236.67 feet.

In such a case the quadratic curve opens downwards.

The vertex is then the maximum point on this curve.

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Answer:

It means that the maximum of the graph is the total daily profit from the soccer balls, and can be maximized by selling them for 8.33$
☆

You can copy this into the text box, you will get the correct answer w/ full response.
EDGE2022; Good Luck!!! :D

Answer:

Step-by-step explanation:

f. 20.5-13.71= 6.79

g. 71.23-36.57-17.89= 16.77

h. 50.147-19.05-7.61= 23.487

i. 92.38-57.25-16.3= 18.83

j. 44.08-17.9-9.06= 17.12

From the graphed function, it is found that:

From this graph, it is found that:

Hence:

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Answer:

15/36

Step-by-step explanation:

Multiply the top and bottom factors together, i.e.,

3 x 5

4 x 9

this ends up with the answer 15/36.

Answer:

5/12 = 0.416666667

Factor:

5/2^2.3 = 0.416666667

[tex]\huge\boxed{7\ \text{inches}}[/tex]

We're trying to find how many inches of wire can be purchased with 28 cents, so we'll start by finding how much wire can be bought with just one cent.

This amount will be represented with [tex]w[/tex].

[tex]14=56w[/tex]

Divide both sides of the equation by 56.

[tex]\dfrac{14}{56}=w\\\\\dfrac{1}{4}=w[/tex]

Now, we'll multiply this value by 28 cents to find the final answer.

[tex]\dfrac{1}{4}\cdot28=\boxed7[/tex]

The height of the building is 240.34m

Since we are given t=√2h/g

By Squaring both sides we get simplifies equation as t²=2h/g

We are given the value of t as 7 and value of g as 9.81

Putting these values in the simplified equation we get

h=49×9.81/2

h=240.34m

Hence the height of the building is 240.34m

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The solution for the variable a in the fraction equation given as 1/12a - 1/2 = -1/8 is 9/2

The fraction equation is given as

1/12a - 1/2 = -1/8

Add 1/2 to both sides of the equation

So, we have

1/12a = 1/2 - 1/8

Take LCM and evaluate the sum

1/12a = (4 - 1)/8

Evaluate the difference

1/12a = 3/8

Multiply both sides of the equation by 12

So, we have

a = 9/2

Hence, the solution for the variable a in the fraction equation given as 1/12a - 1/2 = -1/8 is 9/2

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The equivalent fractions here are: 14/18 ,  21/27 , 28/36 , 35/45 , 42/54.

Given, the number 7/9

7/9 = (7/9 × 2/2) = 14/18

7/9 = (7/9 × 3/3) = 21/27

7/9 = (7/9 × 4/4) = 28/36

7/9 = (7/9 × 5/5) = 35/45

7/9 = (7/9 × 6/6) = 42/54

hence the equivalent fractions here are:

14/18 , 21/27 , 28/36 , 35/45 , 42/54

Equivalent fractions are those fractions that reflect the same value even if they may have distinct numerators and denominators. For instance, the fractions 9/12 and 6/8 are comparable as both, when simplified, equal 3/4.

When reduced to their most basic form, all equivalent fractions become the same fraction.

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A rational expression that would produce the given number line is f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)].

Rational equations are equations of the form P(x) / Q(x), where P(x) and Q(x) are polynomials representing the numerator and the denominator of the expression. In this problem we assume a rational equation where P(x) = 1 and Q(x) is polynomial in factored form, where each root represents an indetermination. Then, we derive the following rational expression that observes the sign behavior on the number line:

f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)]

This expression guarantees the sign behavior:

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Answer:

T' = (-4, 0)

S' = (-4 , -10)

U' = (3 , 0)

V' = (3, -10)

Step-by-step explanation:

Answer: A

explain: because 17 = 35

Step-by-step explanation:

18^4 (18 with a smaller 4 on the top right corner)

Answer:

21/12

Step-by-step explanation:

1 3/4 in improper form is 7/4

7 is not 9 more than 4 so its another equivalent

7/4 × 2/2 = 14/8

That isn't 9 more than the denominator either

7/4 × 3/3 = 21/12

21 - 12 = 9 so 21 is greater than 12 by 9.

The values of positive integers n (n-11)(n-13) prime would be 6 and the solution are; 5 and 7.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

The Prime factorization is when all those factors are prime numbers.

Since prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

The value of n would be 6

(n-11) = 6- 11 = 5

(n-13) = 6 - 13 = 7

Therefore, the  values of positive integers n (n-11)(n-13) prime would be 6.

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Answer:

Step-by-step explanation:

a:) Solve for b:

a = b/c^2

a = b/c^2 is equivalent to b/c^2 = a:

b/c^2 = a

Multiply both sides by c^2:

Answer: b = a c^2 = Dark Green

part 2) a = b/c^2 where a = 1/8, c = 4

b = 2

____________________________________________

b:) Solve for v:

-v + m = k

Subtract m from both sides:

-v = -m + k

Multiply both sides by -1:

Answer: v = m - k = Light blue

part 2) m - v = k where k = -7, m = -2

v = 5

__________________________________________

c:) Solve for q:

p/q = r/s

Take the reciprocal of both sides:

q/p = s/r

Multiply both sides by p:

Answer: q = (p s)/r = yellow

part 2) p/q = r/s where p = 14, r = -7, s = -4

q = 8