If x2 + kx + 18 is factorable, what are the possible values of k?

1) There are no prime numbers whose sum is divisible by 7 and is a perfect square.

2) 1 pipe will take 2 hours to fill 1 pool, as it fills at the same rate as all 5 pipes combined.

3) Ron's score is 20%.

4) There are 20 students in the class.

5) Katie is 14 years old.

Let's evaluate each of the statements you provided:

1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime numbers, then (x+y)/7 = z².

In this case either x = 2 or y = 5 (or vice versa). This is the only possibility to be divisible by 7.

Then (5+2)/7 = 1² = 1.

The first part is correct; the sum of two prime numbers is always even. However, the statement about (x+y)/7 = z² doesn't hold true for all prime numbers. It might work for the specific values of x and y you mentioned, but it's not a general rule.

5 pipes → 2 hours → 2 pools, then 1 pipe takes (5x2) 10 hours to fill 2 pools, or 1 pipe takes (10/2) 5 hours to fill 1 pool.

This is a correct interpretation of the information provided. If 5 pipes can fill 2 pools in 2 hours, then each pipe alone takes 10 hours to fill 2 pools, or 5 hours to fill 1 pool.

It's 6/30 = 0.2 or 20%.

Correct, 6/30 simplifies to 0.2, which is equivalent to 20%.

35% represents 7 students, and 100% of the class represents x students. Therefore, 35%/7 = 100%/x. Cross-multiplying, we get 0.35x = 7, and x = 7/0.35, which simplifies to x = 20 students.

Let K be the age of Katie, and B her brother's age. K + 2 = B (Today). In 12 years, B+12 will be twice K (remember K = B-2):

B+12 = 2(K) OR B+12 = 2(B-2)

B+12 = 2(B-2)

B+12 = 2B - 4

12 + 4 = B, and B = 16. If the brother is 16, then Kate is 14.

The calculations and logic are correct. If Katie's brother is 16, then Katie is indeed 14 years old.

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its actually y=>3x-1 because it's shaded below the line.

below the line: < or <=

above the line: > or>=

The perimeter of the rectangle ABCD is 14 units after using the distance formula.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The missing figure is in the picture, please attached to the picture.

We have:

Rectangle ABCD is graphed in the coordinate plane.

As we know,

The distance formula: it can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

After using the distance formula:

The perimeter of the rectangle = AB + BC + CD + DA

The perimeter of the rectangle = 2 + 5 + 2 + 5

The perimeter of the rectangle = 14 units

Thus, the perimeter of the rectangle ABCD is 14 units after using the distance formula.

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Answer:  12

Step-by-step explanation:

Given : You are making identical gift bags using 24 candles and 36 bottles of lotion .

Then, the greatest number of gift bags you can make with no items left over= greatest common factor of 24 and 36

Prime factorization of 24 and 36 :_

[tex]24=2\times2\times2\times3\\\\ 36=2\times2\times3\times3[/tex]

GCF(24 , 36)= [tex]2\times2\times3=12[/tex]

Hence, the greatest number of gift bags you can make with no items left over =12

Answer:

cbd is 23 degrees

Step-by-step explanation:

The value of x is the quantity x−9 negative would be negative for all values of x less than 9.

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the values of x is the quantity x−9 negative

As per the given condition, translate the phrase into an algebraic expression:

⇒ x - 9 < 0

Add 9 to both sides of the inequality,

⇒ x - 9 + 9   < 9

⇒ x < 9

So x - 9 is negative for all values of x less than 9.

Hence, the value of x is the quantity x−9 negative would be negative for all values of x less than 9.

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Midpoint, as the word suggests, means the point which lies in the middle of something. If m is the midpoint of PQ then PM will be half of PQ.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.

Given that m is the midpoint of PQ. Therefore, it will divide PQ into two equal parts. Therefore,  we can write,

PQ = PM + MQ

But since PM = MQ,

PQ = PM + PM

PQ = 2 PM

PM = PQ/2

Hence, if m is the midpoint of PQ then the relationship between PM and PQ will be half of PQ.

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The mathematical equation 'Twice the number n is no less than 10 units from -1' can be solved as two inequalities, yielding a solution of n ≤ -5.5 or n >= 4.5.

This is a math problem asking about the absolute value inequality of an equation. The question states 'Twice the number n is no less than 10 units from -1'. This can be written as |2n + 1| >= 10. To solve it, we'll divide it into two inequalities: 2n + 1 >= 10 and -2n - 1 >= 10. Solving the first inequality yields n >= 4.5, and solving the second inequality yields n <= -5.5. Thus, the solution to the equation is n ≤ -5.5 or n >= 4.5.

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1.30 or 130

Step-by-step explanation:

Answer: The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x: y = a + bx. b is the slope. a is a constant term. It is the y intercept, the place where the line crosses the y axis.

Hope this helps:)

132 + 56 + 79 = 267

360 - 267 = 93

answer is 93 degrees

In this case, we are simply asked to find for the value of:

xbya or abxy

Since we know that given values of ab and xy, therefore abxy is:

abxy = 37 * (1 / 37)

abxy = 37 / 37

abxy = 1

Answer:

y= -2x-2

Step-by-step explanation:

point slope- y=mx+b

y-y1=m(x-x1)

you have the point   (-1,0) and you have to use (x1, y1)

your slope is -2      

Substitute

y-0= -2(x +1)        

Distribute

y-0=-2x-2

+0         +0

y= -2x-2