John draws a straight line in his notebook. What is the minimum number of points through which the line is drawn?

Answers

Answer 1

Final answer:

A straight line is determined by a minimum of two points. This is a fundamental concept in geometry and algebra, necessary for defining lines on any two-dimensional path or graph.

Explanation:

To determine the minimum number of points through which a straight line is drawn, we need to understand that a straight line is defined by only two points.

The minimum number of points through which a straight line is drawn is two. In geometry, a line extends infinitely in both directions but is determined by just two points. The concept of a line is fundamental in understanding various subjects such as algebra and geometry.

Related Questions

You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?

Answers

Hi!

So x represents the number of bananas we can buy. Now let's set up the inequality.

0.39x ___ 5.85

Since we can't go greater than 5.85, we can use that less than or equal to sign.

0.39x ≤ 5.85
^ the answer

Hope this helps! :)

0.39b≤5.85 divide both sides by 0.39

b≤15

0≤b≤15

So you can purchase any amount of bananas from zero to fifteen.

A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?

Answers

The circle has a radius of 61 cm, therefore its circumference is
C = 2π*61 = 122π cm

If the wire forms sector with a radius of 88 cm (as shown in the figure), then the length of the circular sector is
S = 122π - 2*88 = 207.2743 cm

Because the central angle is θ radians, therefore
88*θ = 207.2743
θ = 2.3554 radians
= (2.3554 rad)*(180 deg/rad)
= 134.95°

Answer:
The angle subtended by the sector is 135° (nearest whole number)

What is the initial value of y=-2x-5

Answers

This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:

y = - 2 x -5

y = - 2 (0) – 5

y = -5 (ANSWER)

Final answer:

The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.

Explanation:

The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.

A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.

Answers

By similar triangles...

p/37=33/83

p=37(33)/83

p=1221/83 m

p≈14.711 m (to nearest thousandth of a meter, or nearest millimeter)

Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.

Answers

x=6 and 2/3
the proportion is also 3:5

Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

What are Similar Triangles?

If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.

Thus:

BC/EF = AC/DF

Substitute

8/2x = 3/5

Cross multiply

40 = 6x

Divide both sides by 6

x = 6⅔.

In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.

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gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?

Answers

We calculate for the taxable income by subtracting the tax free allowance from the gross income.

Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525

Hence, the taxable income is equal to £5,525.

Net income:
This would be equal to the gross income minus the amount of taxes to be paid.

Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
Net income = $10,895

Therefore,
ANSWER: $10,895

The length of of a rectangle is 10mm and the width is 2.5mm, what is the area

Answers

the area for rectangle is (l x w) or (length times width) or (length x width)

*just in case you get confused

so the length is 10, and the width is 2.5 so you plug in.

10 x 2.5 = 25

your answer is 25 mm²

hope this helps

Applicant 2 2/3 pages in five minutes how many pages per hour

Answers

2 2/3 pages=8/3 pages
1 hour=60 minutes
Let x represent the total pages in an hour
8/3 pages in 5 minutes
x pages in 60 minutes
Use cross multiply
x(5)=8/3(60)
5x=160
Divided 5 to each side
5x/5=160/5
x=32 pages per hour. As a result, there will be 32 pages per hour. Hope it help!

Answer:  "32 pages [per hour] " .
__________________________________________
Explanation:
_____________________________________________
Set up a ratio:
______________________________________________
2 ⅔ pages : 5 minute:: x pages: 1 hour ; Solve for "x" ;

Rewrite as:
_______________________________________
(2 ⅔ pages) / 5 minutes = "x" pages/ 1 hour.

Cross-multiply ; and write as:

(5 minutes) ("x" pages) = (2 ⅔ pages) / 1 hour. ;
________________________________________
Convert the "5 min" to its values in units of "hour" ;
________________________________________
   5 min = ? hour ?
________________________________________
   5 min * ([tex] \frac{1 hour}{60 min} [/tex] = ([tex] \frac{5}{60} [/tex] hr ;

([tex] \frac{5}{60} [/tex] hr = [(5÷5)/(60÷5)] hr = (1/12) hr.
___________________________________________________
So we take our ratio, which is in the form of an equation, as follows:
___________________________________________________
                 (5 minutes) ("x" pages) = (2 ⅔ pages) * 1 hour.
___________________________________________________
       and rewrite — substituting "(1/12 hr)" in lieu of "(5 min)" — as follows:
___________________________________________________
      (1/12) * ("x" pages) = (2 ⅔ pages) * (1) ; Solve for "x" ;
___________________________________________________
          Divide EACH SIDE of the equation by: "(1/12 hr)"; or, more efficiently, multiply EACH SIDE of the equation by "12 hr" ; since "dividing by "(1/12)" is the same as multiplying by "12" ;

(i.e. on the "left hand side" of the equation:

[ (1/12) x ] / (1/12) = x ;

AND: (1/12)x * 12 = (1x/12) * (12/1) = (12x/12) = x ; the same result.
            {or: (1/12)x * 12 = (x/12) * (12/1) = ? ; The "12's" cancel out to "1's" ;
                        since: "12÷12 = 1" ; and we have:
                                    " (x/1) * (1/1) = x * 1 = x ; which is the same value.
_____________________________________________________
   to isolate "x" on one side of the equation:
_____________________________________________________
          So, as explained above, we multiply EACH SIDE of the equation by "12" ; as follows:
_____________________________________________________
[ (1/12 hr) * ("x") ] * 12 = (2 ⅔ pages) * (1) * (12) ;
______________________________________________
Simplify:
______________________________________________
                  x = (2 ⅔ pages) * (12) ;

                  x = (8/3) * (12/1) = ?

The "3" cancels to a "1" ; and the "12" cancels to a "4" ;
_____________________________________________
since: "12÷3 = 4" ; and since: "3÷3 = 1 ".
_____________________________________________
  So rewrite as:
_____________________________________________
              x = (8/1) * (4/1) = 8 * 4 = 32 pages.
_____________________________________________
Alternate:
_____________________________________________
     When we have: x = (2 ⅔ pages) * (12) ;

                 x = (8/3) * (12/1) = (8*12)/ (3*1) = 96/3 = 32 .

                 x = 32 pages.
_______________________________________________
Alternate:
_______________________________________________
     When we have: x = (2 ⅔ pages) * (12) ;

                 x = (8/3) * (12/1) = (8*12)/ (3*1) ;

                 x = (8*12)/ (3*1) ;
__________________________________________________
We can cancel out the "12 in the numerator" and the "3" in the denominator, and replace with "4" and "1", respectively; and rewrite as:

                 x = (8*4) / (1*1) = (32/1) = 32.

                 x = 32 pages per hour.
__________________________________________________

Find the circumference of the following circle. (Use 3.14 for π.)

15.7 in.
78.5 in.
19.63 in.
31.4 in.

Answers

The formula for circumference is 2pi*r.
The given diameter is 5 and radius is half of diameter, so the radius is 2.5.
Plus that into the formula.
2*pi*2.5 equals approx. 15.7

The circumference of the circle is 15.7 inches.

What is circumference?

Circumference can be defined as the total distance around a circle.

To calculate the circumference of the circle, we use the formula below.

Formula:

P = πd............... Equation 1

Where:

P = Circumference of the circled = Diameter of the circleπ = pie.

From the question,

Given:

d = 5 inchesπ = 3.14

Substitute these values into equation 1

P = 3.14×5P = 15.7 inches.

Hence, The circumference of the circle is 15.7 inches.

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You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.

Answers

You will divide both sides by 4.

The solution of the given equation is x=12. Therefore, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 3+4x=51.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Subtract 3 from both sides, we get

4x=48

Divide both sides by 4, we get

x=12

Therefore, option C is the correct answer.

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A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?

Answers

1/4 of an hour

68 miles per hour

multiply 68 by 1/4 = 68/1 *1/4 = 68/4

divide 68 by 4

68/4 =17

it can swim 17 miles

17 miles
you just divide 1/4 by 68 and you get 17

A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.

Answers

60/25 = 2.4

2.4 x 2 = 4.8 inches = 60 miles

25/2 = 12.5 for 1 inch

12.5/4 = 3.125 miles for 1/4 inch

A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)

Answers

17.056 because if you multiply the amount of feet in a meter by how many meters there are then you get your answer.

Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Answers

Well it's going to be the last one. Sasha's time is being multiplied by two each week while Mona's is going up by ten each week.

Answer:

Option D.

Step-by-step explanation:

As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.

When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.

so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.

Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??

Thank you so much :)

Answers

Call x the number of nickles that she has.

Then the number of quarters is twice x = 2x

And the number of dimes is three times x = 3x.

So, the total number of coins is x + 2x + 3x = 240

=> 6x = 240

=> x = 240 / 6

=> x = 40

=> Number of nickels = x = 40

Number of quarters = 2x = 80

Number of dimes = 3x = 120

Verification: 40 + 80 + 120 = 240

Answer: nickles 40, quarters 80, and dimes 120.

f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?

Answers

h(f(x))=3(x^2+2)

h(f(x))=3x^2+6

g(h(f(x)))=(3x^2+6)^3+2

g(h(f(-1)))=(3(-1)^2+6)^2+2

g(h(f(-1)))=(3+6)^2+2

g(h(f(-1)))=81+2

g(h(f(-1)))=83

Answer:

It's 8

Step-by-step explanation:

Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)

Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3

one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?

Answers

ur basically looking for the lowest common multiple...and it is 36...so they will flash together again in 36 seconds....so its still gonna be 8:00 pm...just 36 seconds later

What these types of problems want you to find is the least common multiple.

The LCM will be the product of the highest occurring primes of the numbers prime factorization.

12=2*2*3, 18=2*3*3

So the LCM is 2*2*3*3=36

So the lights will flash again at the same time 36 seconds after 8 pm, or if you prefer:

8:00:36

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72

Answers

let x is the smaller number
bigger number is x + 8

The sum of two numbers is 72
so
x + (x+8) = 72

answer
x + (x + 8) = 72

x + y = 72
y = x + 8......y is the greater number

x + (x + 8) = 72 <==

what is the median of 2, 20, 19, 15, 11, 9, 7, 1

Answers

Put them in order and than cross out once from left and than from the right. Repeat till you end up with 1 number in the middle, if no number is left, add the last two you cross out and divide it by 2~

Ans: 10

Your (head) [tex]count [/tex]would be: [tex]8[/tex]

The [tex]sum[/tex] would be [tex]84[/tex]

[tex] \frac{84}{8} = 10.5[/tex]

So, the [tex]mean[/tex]: [tex]10.5 [/tex]

Your [tex]median[/tex] would be: [tex]10 [/tex]

Your [tex]mode[/tex] would be: [tex]2, 20, 19, 15, 11, 9, 7, 1[/tex]

Your answer: [tex]10 [/tex]

Good Luck on Your assignment!

In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?

Answers

Take $12.50 divided by $1.50= $8.40
So Gerald paid for 8.4 gallons of gas.

Answer: He paid for 8.4 gallons.

Step-by-step explanation:

Since we have given that

Average price for a gallon of regular gas = $1.50

Amount paid for a tank of gas = $12.60

So, Number of gallons would be

[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]

Hence, He paid for 8.4 gallons.

Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54

Answers

Answer:

The answer is B

Step-by-step explanation:

The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio is,

⇒ 3

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric sequence is,

⇒ 2/9, 2/3, 2, ...

Now,

Since, The geometric sequence is,

⇒ 2/9, 2/3, 2, ...

Hence, The common ratio = 2/3 ÷ 2/9

= 2/3 × 9/2

= 3

So, The next three terms are find as,

⇒ 2 × 3 = 6

⇒ 6 × 3 = 18

⇒ 18 × 3 = 54

Thus, The next three terms of the geometric sequence are;

⇒ 6, 18, 54

And, The common ratio = 3

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~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?

Answers

x^2+25*x+c = (x+number)^2 ---> x^2+25x+c = x^2 + 2*number*x + number^2,

number = 25/2, c = (25/2)^2 = 625/4

Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3

Answers

<TCU = 7x - 1 = 90

x = 91/7 = 13
Its the 3rd choice

17.16 is 62.4%of what

Answers

divide

17.16/0.624 = 27.5

Which step comes last when using the divide-center method to find the trend line on a scatterplot?

A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.

B Connect the two centers to produce the trend line.

C Disregard all outliers.

D Draw a vertical line so that each side has the same number of data points.

Answers

After you have the dots plotted, there are three steps to find the trend line on a scatter plot:
The first one is Draw a vertical line so that each side has the same number of data points.
The second one is mark with a special sign, the middle value in each of the two sets obtained in the previous step.
The third one is join the two marks mentioned in the point with a straight line, and extend it to the edges of the graph. This line called the trend line and this is the last step.
So the answer is letter B.

Answer: its B

Step-by-step explanation:

I know

"EXPLAIN PLEASE" Which equation does the graph below represent

Answers

Firstly, the graph has a negative gradient (it plots down to the right side rather than up to the right side). This means that in terms of y, x must be negative (this cuts out two of the four options!) Next, you can just take a coordinate from the line, and match it to one of the equations! So take for example (1,-3). When x=1, y=-3(1). So, the answer is the third equation down!

Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°

Answers

no, the 3 angles of a triangle need to equal 180 degrees

70 +70 +50 = 190 degrees so it cant be a triangle.

Yes. It could, but if the angle measures more than 180, it would be an obtuse triangle.

32.1in.×28.2in.×1ft.=

Answers

since 2 of the 3 are in inches convert the 3rd one to inches

1 foot = 12 inches

now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches

2x+3y=-5
3x-5y=21

The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution

Answers

The value of y would be -3.
Hope it helps.

An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?

Answers

45% off....means u r paying 55%

55% of 40 = 0.55(40) = $ 22 <== sale price

Convert the percent into a decimal by moving the percent sign two places to the left and removing the % sign.

45% = 0.45

40 * 0.45 = 18

Subtract the discount amount from the original amount.

40 - 18 = 22

So, $22 is the answer.

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