Write an equation in point-slope form of the line having the given slope that contains the given point.
m=2,(4,-9)

The equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)

Given,

The slope = -2

The point = (-6,-7)

We know the point slope form [tex]y-y_{1}=m(x-x_{1})[/tex]

Substitute the values in the equation

y-(-7)=-2(x-(-6))

y+7=-2(x+6)

Hence, the equation in point-slope form of the line having the slope m=-2 and the given point (-6,-7) is y+7=-2(x+6)

Learn more about point-slope form here

brainly.com/question/24436844

#SPJ4

Answer:

16/8 = 2

38/18 = 2.1

But 2.1 is approximately equal to 2, hence a proportional relationship.

The number of students that Fairview High School have in 2006 is 1615 students.

This is a question of percentages.

Given that:-

The number of students in Jefferson High School had in 2000 are 1125.

The number of students in Jefferson High School had in 2005 are 1425.

The number of students in Fairview High School had in 2000 are 1275.

It is given in the question that the student body of Fairview High school grew at the same rate as Jefferson High School.

We have to find the number of students in Fairview High School in 2006.

Rate at which the number of students grew at the  Jefferson High School =

[(1425-1125)/1125]*100 = (300/1125)*100 = 26 (2/3) % or 80/3 %

Let the number of students in the Fairview High School in 2005 be x.

Hence,

80/3 = [(x-1275)/1275]*100

x = 1615

To learn more about percentages, here:-

https://brainly.com/question/28269290

#SPJ4

Answer:

Je vous souhaite le Bonjour dominical,

Step-by-step explanation:

Si tu veux une réponse:
soit tu postes ce devoir dans la matière French

soit tu postes le problème sur le site nosdevoirs.fr

f(2)=6*2²-7*2=24-14=10

f(-3)=6*(-3)²-7*(-3)=54+21=75

Answer:

We can use the point-slope form of the equation of a line to find the equation that passes through the points (3, 5) and (6, 7).

The point-slope form of a line is:

y - y1 = m(x - x1)

where (x1, y1) is one of the points on the line and m is the slope of the line.

First, we need to find the slope of the line using the two given points. The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the two points.

Plugging in the values we know, we get:

m = (7 - 5) / (6 - 3) = 2 / 3

So the slope of the line is 2/3.

Now we can use one of the given points and the slope to write the equation of the line in point-slope form. We'll use the first point, (3, 5).

y - 5 = (2/3)(x - 3)

This is the equation of the line in point-slope form.

If we want to write it in slope-intercept form (y = mx + b), we can simplify:

y - 5 = (2/3)x - 2

y = (2/3)x + 3

So the equation of the line that passes through the points (3, 5) and (6, 7) is y = (2/3)x + 3.

Answer:

10/9 or 1 1/9

Explanation:

Multiply by the reciprocal

cancel out the greatest common factor

multiply the fractions

and you get 10/9 or 1 1/9

The ratio of pencils to all the item on the desk is 1 : 10

According to Gary,

    Number of pencils on the desk = 4

    Number of markers on the desk = 12

   Number of crayons on the desk = 24

Total number of item son the desk = 4 + 12+ 24

                                                             = 40

The ratio of pencils to all the item is given as = (number of pencils)/(total number of items)

                                                                                = 4/40

                                                                                = 1/10

                       Which in ratio can be written as 1 : 10

Thus the ratio of pencils to all the item is 1 : 10  

Learn more about ratio here : https://brainly.com/question/26460724

#SPJ9

The next three numbers are - 40, 48, 56,..

The pattern belongs to multiples of 8.

Complete pattern is - 8,16,24,32,40, 48, 56,..

Examine the pattern's initial three to four numbers. What connection exists between these numbers, you could ask. For instance, the first three to four numbers in this mathematical pattern are 1, 3, 6, and 10. As the numbers rise, it appears that you must add to obtain the subsequent number. You begin by adding 2, then 2, 3, and then 4. Therefore, if you put this on paper, you probably notice a pattern emerging.

To test whether your solution works, try the remaining pieces of the pattern that was provided.

To learn more about pattern completing from given link

https://brainly.com/question/858473

#SPJ4

The time, in minutes that it take for the submarine to reach the certified depth is 12.85 minutes.

From the information, the submarine has a safety feature that will automatically raise the submarine if it goes below the certified depth of −650feet.

It should be noted that the automatic feature then raised the submarine 50 3/5 feet per minute.

Therefore, the time needed to reach the depth will be:

= 650 / 50 3/5

= 650 / 50.6

= 12.85 minutes

Learn more about time on:

brainly.com/question/10428039

#SPJ1

The length of other base is 16 inch.

The area of trapezoid is given by the formula -

Area = 1/2×(a+b)×height, where a and b represents the two different bases. Let a be the length of 9 inches and b be the length of other base.

150 = 1/2×(9 + b)×12

Shifting 2 to Left Hand Side and performing multiplication on both sides.

150×2 = (9 + b)×12

300 = 108 + 12b

12b = 300 - 108

12b = 192

Shifting 12 to Right Hand Side of equation to find the other base

b = 192 ÷ 12

Performing division

b = 16 inch

Hence, the length of other base is 16 inch.

Learn more about trapezoid -

https://brainly.com/question/1463152

#SPJ4

Answer:

k = -10

Step-by-step explanation:

1) Because of the division of the left side of the equation by 2, multiply both sides of the equation by 2, which means you now have :

-8 - 3k = 22

2) Now, add eight to both sides. Your equation now looks like this:

-8 + 8 - 3k = 22 + 8

3) Simplify.

-3k = 30

4) You now have k = -10

Answer:0.02 mol/L

Step-by-step explanation:

Given: pH = 1.7

Required: [H+]

Equation: pH = -log [H+]

Solution:

Take the antilog of both sides

[H+] = antilog(-pH)

Antilog(-pH) is equal to 10^-pH. Therefore

[H+] = 10^-pH

Solve for [H+]

[H+] = 10^-1.7

Answer: [H+] = 0.02 mol/L

The required value of constant of variation, k does not exist for which x and y vary directly..

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is  y + 3 = -3 x

y = -3 x - 3

y = -3(x + 1)

Comparing with equation 1, we get that y does not vary directly for any value of k.

Hence, the required value of constant of variation is does not exist.

To learn more about the constant of proportion, visit the link:

https://brainly.com/question/24868934

#SPJ4

The slope of the equation is 5 for the coordinates (-3,5) and (4,5).

Locate two points along the chosen line and find their coordinates.

Find the y-coordinate difference between these two sites (rise).

Find the x-coordinate difference between these two sites (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope calculation formula is -

m = y2 - y1 / x2 - x1

Given points are -

(-3,5) and (4,5)

Now, putting the values in equation,

m = 5-5 / 4+3

m = o

As slope is 0, this implies,

the equation of line is y = 5

To learn more about slope of equation from given link

https://brainly.com/question/3493733

#SPJ4

Answer:

Step-by-step explanation:

9 + 11 = 10 so 120=69 69-5 = 13 answer is 13

Answer:

The Answer is y=-6

Answer:

3 1/9

Change 2/3 to 6/9. Add 6/9 + 4/9 to get 10/9. Make a mixed number, 1 1/9. Add 2, 3 1/9.

45,90,180,360, .... is a geometric sequence. The next two terms are 720, 1440.

In an arithmetic sequence, the difference between two subsequent terms is constant. This difference between two subsequent terms is usually called common difference (d), and its value is:

d = a(n) - a(n-1)

Where a(n) is the nth term and a(n-1) is the (n-1)-th term.

In a geometric sequence, the ratio (r) between two subsequent terms is constant.  

r = a(n)/a(n-1)

The given sequence is: 45,90,180,360, .....

We can check that:

(90 - 45) is not equal to (180 - 90) and to (360 - 180)

So, there is no common difference in the given sequence.

Let us now check the ratio:

90/45 = 180/90 = 360/180 = 2

The ratio between two subsequent terms is constant, that is 2. Therefore, we can conclude that the given sequence is a geometric sequence with a(1) = 45 and r = 2.

In a geometric sequence, the next term is obtained by multiplying the current term by its ratio.

Hence, the next two terms are calculated as:

360 x 2 = 720

720 x 2 = 1440

or 720, 1440.

Learn more about arithmetic sequence and geometric sequence here:

https://brainly.com/question/6561461

#SPJ4

The value for x=-2,0,1 and 4 are -16/5,  -2,  -2/5, 2/5 respectively.

Find the value of x that would make the equation you see true is what it means to "solve for x." Consider the following formula: x + 1 Equals 3. If you were to attempt to solve it, you would need to identify a value for x such that it yields three when one is added.

Given expression is -

(3/5)x-2

For x = -2

The value of expression will be = (3/5)(-2) - 2

= -16/5

For x = 0

The value of expression will be = (3/5)(0) - 2

= -2

For x = 1

The value of expression will be = (3/5)(1) - 2

= -2/5

For x = 4

The value of expression will be = (3/5)(4) - 2

= 2/5

To learn more about solving for x from given link

https://brainly.com/question/25275758

#SPJ4

The function is neither an even function nor an odd function

The function is given as

g(x) = x + x^2

Calculate g(-x)

So, we have

g(-x) = -x + (-x)^2

Evaluate

g(-x) = -x + x^2

Calculate -g(x)

So, we have

-g(x) = -x - x^2

In the above computations;

g(x) does not equal g(-x) and -g(x)

Hence, the function is neither an even function nor an odd function

Read more about function types at:

https://brainly.com/question/23934926

#SPJ1

Answer:

See below

Step-by-step explanation:

Perimeter =  2( L  +  W )               L = 2 (3+W)    <==== given

     15        = 2 ( 2(3+W) + W)

          15 = 2 ( 6 +3W)

           15 = 12 + 6W

              3 = 6W

                W = 1/2 inch      L = 2(3+W) = 7 inches

The probability that a family to visit the beach also will travel the mountains is 0.33.

A Venn diagram is a graph that uses circles to represent relationships between objects or finite groups of objects. Circles that intersecting share properties, but circles that do not overlap do not.

Please see the Venn diagram.

P(B) [the entire blue circle] = 0.6 is the probability of such a family vacationing there at beach.

P(B∩M) [the red/blue intersecting intersection of two circles] = 0.2 is the possibility of a family taking a vacation in both locations.

Using the property of independent event: Two events are considered independent if the incidence of one does not affect the likelihood of occurrence of the other.

As, occurrence of  family visiting the beach will also visit the mountains is an independent event. Thus,

The formula for the independent event is;

P(B | M) = P(B∩M)/P(B)

P(B | M) = 0.2/0.6

P(B | M) = 0.33

Therefore, the probability of the occurrence that family visiting the beach will also visit the mountains is 0.33.

To know more about the Venn diagram, here

brainly.com/question/2099071

#SPJ4

Answer:

BC = 21

Step-by-step explanation:

AB + BC = AC

[tex]7x + 8 + 3x + 6 = 64[/tex]

[tex]10x + 14 = 64[/tex]

[tex]10x = 50[/tex]

[tex]x = 5[/tex]

BC = 3(5) + 6 = 21

Part (a)

The horizontal part of the rectangle goes from m = -1 to n = 4. This is a distance of 5 units because |m-n| = |-1-4| = 5

The height is some unknown variable h

It must multiply with the base (5) to get an area of 1

base*height = area

5h = 1

h = 1/5

h = 0.2

========================================================

Part (b)

x = dismissal time minutes after class

Something like x = 2 means he dismisses class 2 minutes after the bell, while x = -1 is him dismissing class 1 minute early before the bell.

The phrasing "within 1 minute" means that x is between p = -1 and q = 1. So we can say [tex]-1 \le x \le 1[/tex]

This is a span of 2 units because |p-q| = |-1-1| = 2. Divide this over the entire horizontal span: 2/5 = 0.4

Exactly 40% of the time the teacher lets his class out within one minute of the scheduled end time.

Your answer would be the second one.

We know that adding [tex]\frac{1}{2}[/tex] to x gives us 4, as that's provided by the question.

So [tex]4=x+\frac{1}{2}[/tex]. Now, to find x, simply subtract [tex]\frac{1}{2}[/tex] from 4 to give us x, which gives us [tex]3\frac{1}{2}[/tex].

Reason:

The 'a' terms are a^8 and a^6. We go for the smallest exponent when forming the GCF. Go for the largest exponent when finding the LCM.

The b terms are b^6 and b^3. The smaller exponent is b^3, which is also part of the GCF

We have a^6 and b^3 combine to form a^6b^3

Answer: 46 inches

Step-by-step explanation: the larger piece is 92 inches 92+46=138

The two numbers other than 1 and 1 are 2 and 3 finally get the 34 means 7 th term in the sequence.

The Fibonacci numbers, sometimes known as Fn in mathematics, are a series of numbers. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.

from the question

Let take the first term as 2.

and second term as 3.

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 + 34 = 55

34 + 55 = 89

The Fibonacci sequence includes the numbers 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on.

Sum=2+3+ 5 + 8 +13 + 21+

34+55+89+144 = 374 is what we get when we add up the numbers in the series.

The first ten Fibonacci numbers sum is 374.

now divided the sum by 11.

374/11 = 34.

so,to get the 34 means 7 th term in the sequence.

Hence, the two numbers other than 1 and 1 are 2 and 3. finally get the 34 means 7 th term in the sequence.

Learn more about Fibonacci series from here:

https://brainly.com/question/16934596

#SPJ4