2.7 and 5.9 find the distance

The equation of the line that is perpendicular to the given line y = x + 6 and has an x-intercept of 6 is B. y = -x + 6.

A line is plotted on the cartesian plane and is straight, thus named a straight line. A straight line is a two-dimensional geometrical figure.

Given the line:

y = x + 6

Compare the equation with

y = mx + c,

m = 1 and c= 6.

As it is given that the new line is perpendicular to the old one, then

the slope of the new line, m' [tex]= -\frac{1}{m} = -\frac{1}{1} = -1[/tex].

As the x-intercept is 6, c' = 6.

So, the equation of the new line is

y = m'x + c'

y = -x + 6

Therefore, the new line is y = -x + 6.

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The complete question is as follows:

What is the equation of the line that is perpendicular to

the given line and has an x-intercept of 6?

y = x + 6

A. y = -x + 8

B. y = -x + 6

C. y = x - 8

D. y = x - 6.

For the conditional statement, we have that:

The conditional statement has the following format:

p -> q.

For this problem, we have that the events are given as follows:

Hence p -> q is a true statement, as the set of whole numbers are the naturals plus the 0.

The inverse is given by:

~p -> ~q.

In which ~ represents the negation symbol.

Hence:

If a number is not a natural number, then the number is also not a whole number.

This statement has a false truth value, as the number 0 is whole but not natural.

The converse is given by:

q -> p.

Hence:

If a number is a whole number, then it is also a natural number.

This statement has a false truth value, as the number 0 is whole but not natural.

The contra-positive is given by:

~q -> ~p.

Hence:

If a number is not a whole number, then it is also not a natural number.

This statement has a true truth value, as all natural numbers are whole numbers.

The bi-conditional is given by:

p <-> q

In which <-> represents the term if, and only if.

Hence:

A number is a natural number if, and only if, it is also a whole number.

This statement has a true truth value, as all natural numbers are whole numbers.

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Answer: y=x

Step-by-step explanation:

[tex]x-y=7\\x-y+y=7+y\\x=7+y\\x-7=7+y-7\\x-7=y[/tex]

The line that parallel to the line x-y=7 is:

[tex]y=x+b[/tex]

The line that passes through the point P(-1,-1), hence:

[tex]-1=-1+b\\-1+1=-1+b+1\\0=b\\Thus,\\y=x+0\\y=x[/tex]

Answer:

b) 14

Step-by-step explanation:

Given problem,

→ -3 + |-17|

Let's solve the problem,

→ -3 + |-17|

→ -3 + 17

→ 14

Hence, the answer is 14.

Answer:

1. x = 2/3y + 8/3

2. x=−y+1

Step-by-step explanation:

Solve for x

3x−2y=8

Add 2y to both sides.

3x−2y+2y = 8+2y

3x=2y+8

Divide both sides by 3.

3x/3 = 2y+8/3

x = 2/3y + 8/3

Answer:

x = 2/3y + 8/3

#2

solve for x.

x+y=1

Add -y to both sides.

x+y+−y=1+−y

x=−y+1

Answer:

x=−y+1

solve for y.

x+y=1

Add -x to both sides.

x+y+−x=1+−x

y=−x+1

Answer:

y=−x+1

Sorry if this is too much

Answer:

5300

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Im pretty sure its 14

so point A is at -5 which is here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A

and point B is located here

-5   -4   -3.    -2.    -1.   0.  1.   2.   3.   4.   5.   6.  7.  8.  9

A                                                                                    B

the distance would be:

-5+5= 0      ( the bold numbers are the ones you add together)

then

0+9=9

so 5+9= 14

Answer:

1/2x-2

Step-by-step explanation:

sise over run and then graph on desmos

Answer:

y = [tex]\frac{1}{2}[/tex] x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 1 ) and (x₂, y₂ ) = (- 6, - 5 )

m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 1 )

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

Answer:14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

Answer:

just flip it

Step-by-step explanation:

84.5

The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

Probability refers to the possibility of the occurrence of an event.

P(E) = probability of occurrence of an event E = Number of favorable outcomes, divided by total number of outcomes

Now, according to question,

There are 10 houses numbered 1-10. Thus the number of even numbered houses = 5 (2, 4, 6, 8, 10)

The probability that the first selected house for free newspapers is even numbered = 5/10 = 1/2

The probability that the second selected house for free newspapers is even numbered = 4/9

The probability that the third selected house for free newspapers is even numbered = 3/8

The probability that the fourth selected house for free newspapers is even numbered = 2/7

The final probability that the four houses selected for a free newspaper will all be even numbered houses is = 1/2(4/9)(3/8)(2/7) = 1/42

Hence, The probability that the four houses selected for a free newspaper will all be even numbered houses is: 1/42.

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Answer:70/100

Step-by-step explanation: 100/100 is 100% so with that logic 70/100 would mean 70%

From the given integer numbers, the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

The temperature in Delaware is of 5 ºC, hence for our range, we have that:

Alaska(< -5), Tennessee(>15) and WV(<-5) do not have temperatures in this range, hence the states that have temperatures within 10ºC of Delaware are: California, Hawaii and Idaho.

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The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4).

According to the statement

We have to find that the coordinates after the rotation.

So, For this purpose, we know that the

Rotation means a degree is being moved in clockwise or counterclockwise direction with some angle.

From the given information:

The point is a (0,4)

The rotation is drained 90, 180, 270 degrees.

Given point is:(0,4)

When some extent (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.

So for the given point the coordinates will become (-0,-4)

Then,The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

So, The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)

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The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

Long-division polynomials are algorithms that divide polynomials by polynomials of the same or lower degree. As with the long division method of numbers, the divisor, quotient, dividend, and remainder are all part of the long division of polynomials.

When a divisor has more than one term or is a polynomial with more than one term, the four stages used to divide whole numbers (divide, multiply, subtract, bring down the next term) comprise the repeated operation for polynomial long division.

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9) given.

Simplifying the equation:

(4x² – 11x³ – 13x² +96x+52)

(-11x³ - 9x² + 96x + 52)

Applying Polynomial long division:

(-11x³ - 9x² + 96x + 52)÷ (4x + 9)

                                           [tex]$-\frac{11}{4} x^2+\frac{63}{16} x+\frac{969}{64}$[/tex]

                              (4x + 9)√(-11x³     - 9x²        + 96x       + 52)

                                                -11x³ -(99/4)x²

                                              -------------------------------------

                                                            (63/4)x² + 96x

                                                             (63/4)x²  + (567/16)x

                                                          ----------------------------------

                                                                              (969/16)x     + 52

                                                                               (969/16)x    - 8721/64

                                                                     -------------------------------------------

                                                                                                      - 5393/64

The remainder of the given equation:

(4x² – 11x³ – 13x² +96x+52) ÷ (4x + 9)

=  - 5393/64

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Hi.

Answer:

[tex]\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

Step-by-step explanation:

[tex](aa=a^2) \left(4x-1\right)\left(4x-1\right)=\left(4x-1\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)\\\left(3x^2+3x-5\right)\left(3x^2+3x-5\right)=\left(3x^2+3x-5\right)^2\\=\left(4x-1\right)^2\left(3x^2+3x-5\right)^2[/tex]

Answer:

Inequality Form:

x<−5 or x>−1

Interval Notation:

(−∞,−5)∪(−1,∞)

Step-by-step explanation:

Question:

You have $2.75. You want to buy trading cards that cost $0.25 each.

How many can you buy?

Answer:

11 trading cards

Step-by-step explanation:

If you do 2.75 ÷ 0.25 you would get 11 and to check the answer you could simply multiply you would do 0.25 x 11 to get the answer 2.75.

I hope it helps you!

~XxBells is a cute girlxX~

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Answer:

Step-by-step explanation:

just need points dont mind me

Answer:

you what do u need help with?

The plane is defined by the equation, x = -3.

To find the equation:

The distance from p(-9, 0, 0) seems to be:

The separation from q(3,0,0) would be:

Let's make them the same size as follows;

Square both sides before simplifying:

Therefore, the plane is defined by the equation, x = -3.

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The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)

If the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

Given,

The ratio of cars to truck in the parking lot = 5:3

Total number of cars in the parking lot =30

Then, the equation will be

5x=30

x=6

Then,  the number of tucks in the parking lot =3x

3×6=18

Hence, if the ratio of cars to truck in a parking lot is 5:3 and the total number of cars is 30, then the total number of truck in the parking lot is 18

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The correct statements regarding the given bar graph are given as follows:

A bar graph shows the number of times that each observation appears in the data-set.

Hence, from this bar graph, we have that the average number of births per day, from Sunday to Saturday.

Births are more common during weekdays, the close to 7000 on Sunday, the maximum is close to 13000 on Tuesdays, hence the correct statements are given as follows:

From the bar graph, the biggest ratio is of 13/7 < 2, hence week day births are not quite twice as common.

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Answer:

4 right handlers for everytime 5 people

solution:

4/5. = x/30

x = (4)(30)/5

x= 24

there are 24 right handed people

Step-by-step explanation:

I am left handed so I know this is true :)

Answer: 2 I think

Step-by-step explanation:

The correct answer is (x,y)=(-1,-2.4)

The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. Every point or an ordered pair comprises two coordinates.

The x coordinate, also known as the abscissa, is the first, and the y coordinate, also known as the ordinate. Any real number, whether positive or negative, can represent the coordinates of a point.

We have given the point

A(-3,-4) and B(2,0)

(x1,y1)=(-3,-4)

(x2,y2)=(2,0)

As P divided line segment AB in the ratio 2 to 3

m/n=2/3

x=(mx2+nx1)/m+n

x=(2)(2)+(3)(-3)/2+3

x=4-9/5

x=-5/5

x=-1

y=(my2+ny1)/m+n

y=(2)(0)+(3)(-4)/2+3

y=0-12/5

y=-12/5

y=-2.4

(x,y)=(-1,-2.4)

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