Evaluate the following expression when n = -7.

-9|n + 5|

m=(Y2-Y1)/(X2-X1)

(1.) m=(2-(-1))/(-2-3) = 3/-5 = -3/5

(2.) m=(-2-1)/(-3-2) = -3/-5 = 3/5  

(3.) m=Infinity (equation: x=-2)

The slopes of the lines passing through the given points are: 1. [tex]\((-2,2)\)[/tex] and [tex]\((3,-1)\)[/tex]: [tex]\(m = -\frac{3}{5}\)[/tex]. 2. [tex]\((-3,-2)\)[/tex] and [tex]\((2,1)\)[/tex]: [tex]\(m = \frac{3}{5}\)[/tex]. 3. [tex]\((-2,-2)\)[/tex] and [tex]\((-2,3)\)[/tex]: The slope is undefined (vertical line).

To calculate the slope m of a line given two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], you can use the formula:

[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]

Let's apply this formula to the given points:

1. For points (-2,2) and (3,-1):

[tex]\[m = \frac{-1 - 2}{3 - (-2)} = \frac{-3}{5}\][/tex]

2. For points (-3,-2) and (2,1):

[tex]\[m = \frac{1 - (-2)}{2 - (-3)} = \frac{3}{5}\][/tex]

3. For points (-2,-2) and (-2,3):

[tex]\[m = \frac{3 - (-2)}{(-2) - (-2)} = \frac{5}{0}\][/tex]

The slope for the third set of points is undefined because the denominator becomes zero, indicating a vertical line. The first two sets of points have slopes of [tex]\(-\frac{3}{5}\)[/tex] and [tex]\(\frac{3}{5}\)[/tex] respectively.

The focus is (1,0)  

Hope this helps!

Answer:

focus is (1,0)

Step-by-step explanation:

the focus of a parabola with equation [tex]y^2=4x[/tex]

Focus point lies inside the parabola

To find the focus of a parabola we need to find the vertex

the distance between the focus and vertex is the value of p.

Focus point is (h+p,k)

Where (h,k) is the vertex

Given equation is in the form of [tex](y-k)^2=4p(x-h)[/tex]

Given equation can be written as [tex](y-0)^2=4(x-0)[/tex]

So the vertex is (0,0)

Now we find the value of p

[tex]4p = 4[/tex]

So [tex]p=1[/tex]

Focus is (h+p,k) that is (1,0)

To solve this, first add -9b on both sides of the equation to get the variable on only one side of the equation.

2b+4=-18-9b

2b+9b+4=-18-9b+9b

11b+4=-18

Then subtract 4 from both sides of the equation.

11b+4=-18

11b+4-4=-18-4

11b=-22

Divide 11 on both sides of the equation to find the values of b.

[tex]\frac{11b}{11}[/tex]=[tex]\frac{-22}{11}[/tex]

b=-2

P = r + t + s

Subtract t from both sides.

P - t = r + s

Subtract s from both sides.

P - t - s = r is the equation that allows you to solve for the value of r if you know all the other values.

The sum of the first three prime numbers less than 12 is 2, 3, and 5.

A prime number is a positive integer having exactly two factors that are 1 and number itself. Any number that does not follow this is termed a composite number.

Given

Trisha spins a spinner. the pointer lands on three prime numbers.

She says the sum is less than 12.

The prime numbers are as follows,

2, 3, 5, 7, 11..so on

So the sum of the first three prime numbers will be

2 + 3 + 5 = 10

Hence, the sum of the first three prime numbers less than 12 is 2, 3, and 5.

More about the prime number link is given below.

https://brainly.com/question/4184435

Answer:

B) 37%

Step-by-step explanation:

Given,

The total base pay and commission = $ 52561,

While, base pay = $ 23690,

So, the amount of commision = Total base pay and commission - base pay = $ 52561- $ 23690 = $ 28871,

Also, total sale = $77,300,

Hence, the rate of the commission( in percentage )

[tex]=\frac{Commission}{Sale}\times 100[/tex]

[tex]=\frac{28871}{77300}\times 100[/tex]

[tex]=\frac{2887100}{77300}[/tex]

[tex]=37.3492884864\%[/tex]

[tex]\approx 37\%[/tex]

Option 'B' is correct.

Answer:

B

Step-by-step explanation:

It would be -1.25 degrees at noon.

Answer:

The area of this tabletop is

6 ft. × 2 ft. = 12 ft.²

we know that

To calculate the ideal mechanical advantage for an inclined plane, divide the length of the incline by the height of the incline

Step 1

Find the horizontal distance of the ramp

we know that

the ramp has a slope of [tex]1:10[/tex]

so

by proportion

[tex]\frac{1}{10} \frac{height}{long} =\frac{25}{x} \frac{height}{long} \\ \\x=25*10 \\ \\ x=250\ ft[/tex]

Step 2

Find the length of the incline of the ramp

Applying the Pythagorean Theorem

[tex]incline^{2}=height^{2}+horizontal^{2}[/tex]

substitute the values

[tex]incline^{2}=25^{2}+250^{2}[/tex]

[tex]incline^{2}=63,125[/tex]

[tex]incline=251.25\ ft[/tex]

Step 3

Find the ideal mechanical advantage

[tex]Ideal\ Mechanical\ Advantage=\frac{incline}{height}[/tex]

substitute the values

[tex]Ideal\ Mechanical\ Advantage=\frac{251.25}{25}=10.05[/tex]

therefore

the answer is

the Ideal Mechanical Advantage of the ramp is [tex]10.05[/tex]

This would be k < 50.

This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.

Answer:

0 ≤ k ≤ 50

Step-by-step explanation:

Here k represents the price of the keyboard ( in dollars ),

Given,

Nita will buy the keyboard,

If the price of the keyboard is under $ 50,

That is,  [tex]k \leq 50[/tex]

Also, the price can not be negative,

⇒ [tex]0 \leq k[/tex]

Hence, the required inequality is,

[tex]0 \leq k \leq 50[/tex]

Yes the slope of a vertical line is parallel.

Parallel lines never intersect each other.

Y-axis is a vertical axis cartesian coordinate plane.

All vertical lines would be parallel to y-axis.

Because all vertical lines would have same slope, that is undefined slope.

Therefore, all vertical lines would be parallel lines.

So, we can finally say that it is possible for vertical lines to be parallel.

t<-4

Mariana only wears her coat when it is colder than -4 so t must be less than -4.

Answer: t < -4

Step-by-step explanation:

We want to represent temperatures colder than -4 C

In mathematical terms, we want to represent temperatures less than -4 C

t < -4

Answer:

A is the answer

Step-by-step explanation:

The graph of the equation y = -4x+7 is a line that shows the set of all solutions of the equation.

"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.

The equation of line is a linear equation with a degree of one"

"The equation of a line can be formed with the help of the slope of the line and a point on the line."

Here is the equation of the line is given,

y = -4x + 7

since, it is the equation of a line, it contains all the solutions on the graph.

Hence, option A is the correct option.

To know more about equation of motion here

https://brainly.in/question/16516318

#SPJ2

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

x = 25/2

this is your answer

Step 1. Simplify x + 4x + 43 to 5x + 43

5x + 2(x + 9) = 5x + 43

Step 2. Cancel 5x on both sides

2(x + 9) = 43

Step 3. Divide both side by 2

x + 9 = 43/2

Step 4. Subtract 9 from both sides

x = 43/2 - 9

Step 5. Simplify 43/2 - 9 to 25/2

x = 25/2

Answer:

960 sprinkles

Step-by-step explanation:

If 24 cookies call for EXACTLY 384 sprinkles, then 16 sprinkles fit on each cookie. 384/24 = 16

If 16 sprinkles fit on each cookie, 16 cookies on 60 cookies would be 960.

60 x 16 = 960

Answer:

Its 960

Step-by-step explanation:

I did it on khan academy, and got it right!

i think it is Transitive property of congruence but im not 100% sure

Answer,

A) Transitive Property of Parallel lines

Hope this helps :-)

The answer to this question is 380

Answer:

380 dollar.

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = [tex]\frac{437}{1.15}[/tex]

x = 380

Initially his pay was 380 dollar.

Hello! I'm guessing you need someone to solve this equation!

4(5x-6)=2(8x+10)

20x-24=16x+20

Add 24 on both sides!

20x=16x+44

Subtract 16x on both sides!

4x=44

Divide 4 by 44

x=11

the square root of 2 is 1.4

So √2 < 1.9

It will take 2.78 gallons to fill the remainder of the tank.

13.9 * 4/5 = 11.12    - 11.12 is the amount of gas already in the tank.

13.9 - 11.12 = 2.78    - So, subtract 11.12 from 13.9 and you get your answer.

Hope this is right! ;)

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest).  You can use a number line if necessary.

A number n is less than or equal to -7 or greater than 12 is written as

[tex]n\leq -7 \; or \; n>12[/tex]

Given :

Given statement is' A number n is less than or equal to -7 or greater than 12'.

We need to convert the given statement into an inequality

n  is less than or equal to -7

[tex]n\leq -7[/tex]

or n is greater than 12

[tex]n>12[/tex]

We need to combine both the inequalities

Connect both the inequalities by   'or'  

A number n is less than or equal to -7 or greater than 12.

[tex]n\leq -7 \; or \; n>12[/tex]

Learn more : brainly.com/question/2332918

Using the order of operation you would multiply first so

2 · 3 = 6

5 - 6 + 4 then we would subtract

5 - 6 = -1

-1 + 4 = 3 as your answer.

5−(2)(3)+4=3

Answer: 3

Step-by-step explanation: By using the order of operations,

2 x 3 = 6

5 - 6 = -1

-1 + 4 = 3

Therefore, 3 will be the correct answer for this problem! <3

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

Answer:

6

Step-by-step explanation: