Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6,10)

Answers

Answer 1

Answer:

Option (1). (6, 0)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?

(6, 0)

(0, 6)

(−5, 0)

(0, −5)

Line in orange color is passing through two points (-8, 6) and (4, -4)

Slope of this line = [tex]\frac{\triangle y}{\triangle x}[/tex]

                            = [tex]\frac{6+4}{-8-4}[/tex]

                            = [tex]-\frac{10}{12}[/tex]

                            = [tex]-\frac{5}{6}[/tex]

Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]

Parallel line passes through a point (-6, 10).

Let the other point through which the parallel line passes is (a, b)

Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]

-5(-a - 6) = 6(10 - b)

5a + 30 = 60 - 6b

5a = -6b + 60 - 30

5a = -6b + 30

a = [tex]-\frac{6}{5}b+6[/tex]

By satisfying with all the options we find only (6, 0) satisfy this equation.

6 = [tex]-\frac{6}{5}(0)+6[/tex]

6 = 6

Therefore, (6, 0) is the other point lying on the parallel line.

Option (1) will be the answer.

Which Is The Ordered Pair For The Point On The X-axis That Is On The Line Parallel To The Given Line
Answer 2

Answer:

Step-by-step explanation:

The answer was (6,0) I just got it right on my assignment


Related Questions

The area of a square is 350cm². Find the length of the diagonal.

Answers

Answer: 26.46cm

Step-by-step explanation:

The formula of a diagonal of a square is square root 2 a(a is not under the square root though)

So just substitute the a (area) with 350 and solve the equation.

Answer:

26.46cm

Step-by-step explanation:

Because you are dealing with a square, take the square root of the area and then use pythagoras theorem to calculate the diagonal.

Can someone please help me I need to get this right

Answers

Answer:

Option C

Step-by-step explanation:

Option C would map (1,3) to (-1,4).

[tex](x,y)\rightarrow(x-2,y+1)[/tex]

[tex](1,3)\rightarrow(1-2,3+1)\rightarrow(-1,4)[/tex]

1 - 2 = -1

3 + 1 = 4

Option C should be the  correct answer.

Answer: 3rd option (x-2, y+1)

Step-by-step explanation:

1-2 = -1

3+1 = 4

Solve the given system of equations.

Answers

Answer: x= -1/2 y=3/4

Step-by-step explanation:

Answer:

x = -4y + 5/2

Step-by-step explanation:

step 1: 2x +8y + -8y = 5 + -8y

2x = -8y+ 5

step 2: divide both sides by 2

2x /2 = -8y+5/2

x= -4 + 5/2

Help appreciated please and thank you​

Answers

Answer:

D. [tex] \frac{4 \sqrt{33} }{33} [/tex]

Step-by-step explanation:

[tex] \tan \alpha = \frac{4}{ \sqrt{33} } \\ = \frac{4}{ \sqrt{33} } \times \frac{ \sqrt{33} }{ \sqrt{33} } \\ \\ = \frac{4 \sqrt{33} }{ {( \sqrt{33)} }^{2} } \\ \\ \tan \alpha = \frac{4 \sqrt{33} }{33} [/tex]

The answer I think is d

Which is a complete list of factors of each term in the expression 15 + 20 x?

Answers

Answer:

15: 1, 3, 5, 15

20x: 1, 2, 4, 5, 10, 20, x

Step-by-step explanation:

The probability that your ticket will be chosen is 6%. There are 250 tickets in the drawing. How many tickets are yours?

Answers

Answer: 15

Step-by-step explanation:

6 percent of 250 is 15

15/250 = 6%.

Answer:

6% = 6/100 = 0.06

250 x 0.06 = 250 x 6 / 100

250 x 6 = 1500 / 100 = 15

15 tickets are mine

Hope this helps

Step-by-step explanation:

Square OABC is drawn on a centimetre grid. O is(0,0) A is(3,0) B is(3,3) C is(0,3). Write down how many invariant points there are on the perimeter of the square, when OABC is enlarged, scale factor 2, centre (0,0)

Answers

Answer:

1 point. O (0,0)

Step-by-step explanation:

Hi

Invariant points are those points who remain on the same location after a given transformation.

1.  Plotting OABC we have it below:

2. Whenever we dilate centered, the image O'A'B'C' will be determined by the following points:

[tex]O'(0,0) \:A'(3,0) B'(6,6) \:and\:C'(0,6)[/tex]

Since the Scale factor is (2)

3. Check it out O'A'B'C' below

4. On the perimeter of O'A'B'C' (enlarged OABC) we have left 1 point invariant.

Answer:

The answer would be 2

Pat's Potato farm grew 490 ponds of potatoes. Pat delivered 3/7 of the potatoes to the vegi stand. The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store,witched packedged half of the potatoes that were delivered into 5 pound bags. How many 5 pound bags did the grocery store package?

Answers

Answer:

Step-by-step explanation:

Pat's Potato farm grew 490 pounds of potatoes. If Pat delivered 3/7 of the potatoes to the vegi stand, it means that the number of pounds of potatoes that pat delivered to the vergi store is

3/7 × 490 = 210 pounds

The owner of the vegi stand delivered 2/3 of the potatoes he bought to the grocery store. It means that the amount delivered to the grocery store is

2/3 × 210 = 140

If half of the delivered potatoes was packaged in bags of 5 pounds each, it means that the amount of potatoes packaged in the bags is 140/2 = 70 pounds.

The number of bags of 5 pounds that the grocery store packaged is

70/5 = 14 bags


This table shows the time it took a group of students to complete a quiz​

Answers

The answer is
A=17 b=16/24

Cameron surveyed 200 of the students in his school about their favorite color. 60
students said their favorite color was red. What percentage of the surveyed students
said their favorite color was red?

Answers

60/300 is the same as 30/100 so it is 30%

Answer:30%

Step-by-step explanation:

x | f(x)
2.0 | 2.8
2.5 | 1.1
3.0 | –0.8
3.5 | –1.2
4.0 | –0.3
4.5 | 0.7
For the given table of values for a polynomial function, where must the zeros of the function lie?
A. between 2.0 and 2.5 and between 4.0 and 4.5
B. between 2.5 and 3.0 and between 4.0 and 4.5
C. between 2.0 and 2.5 and between 3.5 and 4.0
D. between 2.5 and 3.0 and between 3.5 and 4.0

Answers

Answer:

Option B.

Step-by-step explanation:

If the value of function is 0 at x=c, then c is a root or zero of the function. It means the graph of function intersect x-axis at its zeroes.

From the given table it is clear that the value of function are

x  |  f(x) | Sign

2.0 |  2.8  | Positive  

2.5 |  1.1    | Positive

3.0 | –0.8 | Negative

3.5 | –1.2  | Negative

4.0 | –0.3 | Negative

4.5 |  0.7  | Positive

The sign of values of function changes in interval 2.5-3.0 and 4.0-4.5.

It means, the graph of function must intersect x-axis in interval 2.5-3.0 and 4.0-4.5. So, the zeros of the function lie between 2.5 and 3.0 and between 4.0 and 4.5.

Therefore, the correct option is B.

Answer:

between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

B on my computer but always double check!

You earn $8.50 per hour at your summer job. Write and solve an inequality that represents the number of hours you need to work in order to buy a digital camera that costs $348.50

Answers

Answer:

8.50x [tex]\geq[/tex] 348.50

41 hours

Step-by-step explanation:

x= amount of hours

Find the area of the shape.

Answers

This is a [tex]90^\circ[/tex] sector of a circle of radius 8, or one-fourth of the circle, so the area is [tex]\frac{\pi(8)^2}{4}=\boxed{16\pi}.[/tex]

Answer: 50.2656

Step-by-step explanation:

The formula for converting a temperature,C, in degree Celsius ('C) to a temperature degree Fahrenheit ('F). F=(9C+160)/5 Q:) What temperature is same on both scale.

Answers

Answer:

-40

At -40, the value on both scales are the same.

-40 °C = -40 ° F

Step-by-step explanation:

Given that;

F = temperature in Fahrenheit

C = temperature in Celsius

And;

F=(9C+160)/5 .........1

For temperature to be the same on both scale;

Temperature in Fahrenheit mist be equal to the temperature in Celsius

F = C

Substituting F = C into the equation 1;

C = (9C +160)/5

Multiply both sides by 5

5C = (9C+160)

Collecting the like terms.

5C -9C = 160

-4C = 160

C = -160/4

C = -40

F = C = -40

At -40, the value on both scales are the same.

That means;

-40 °C = -40 ° F

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 18% each week. The following function represents the weekly weed growth: f(x) = 86(1.18)x. Rewrite the function to show how quickly the weeds grow each day. f(x) = 86(1.02)x; grows approximately at a rate of 0.2% daily f(x) = 86(1.18)7x; grows approximately at a rate of 1.8% daily f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily f(x) = 86(1.187)x; grows approximately at a rate of 0.18% daily

Answers

Answer:

Correct option: third one

f(x) = 86(1.02)7x; grows approximately at a rate of 2% daily

Step-by-step explanation:

We can rewrite the equation using the model:

P = Po * (1 + r/n) ^ (nt)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the relation of the rate and the time (in our case, the rate is weekly and the time will be in days, so n = 7)

With P = f(x), Po = 86, r = 0.18 and t = x, we have:

f(x) = 86 * (1 + 0.18/7) ^ (7x)

f(x) = 86 * (1.02) ^ (7x)

So the daily rate of growth is approximately 2%

Correct option: third one

The probability that a foot ball team will win a game is 2/11.The probability that they will lose is 3/11.What is the probability the game will be a draw

Answers

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

The second term of a geometric sequence is 17.5 and the third term is 122.5. What is the common ratio? What is the first term?​

Answers

Step-by-step explanation:

U2=ar

U2=17.5

U3=ar^2

U3=122.5

U3/U2=122.5/17.5

ar^2/ar=7

r=7

17.5=ar

17.5=7a

a=2.5

Target sells 24 bottles of water for $3.and 36 bottles of water for $4 Which is the better buy and by how much
24 bottles for $3 by 1.50 per bottle
B)
24 bottles for 53 by 700 per bottle
24 bottles for $3 by 75c per bottle
36 bottles for $4 by 1 46 per bottle
60​

Answers

Answer:

The last answer choice is the correct answer

Step-by-step explanation:

im hoping this helped, if not im sorry.

well, buying 24 bottles, it works out at 8c per bottle were as 36bottlss for 9c each
hope this helps :)

What is the range of the functuon f(x)=(x-4)(x-2)

Answers

Answer:

The range is [-1, ∞).

Step-by-step explanation:

The  points where the graph of this function cut the x axis are at x = 2 and x = 4 ,  it opens upwards and has a minimum  value.

It has a minimum value  when x = (2 + 4) / 2 = 3.

When x = 3,  f(x) =  (3 - 4)(3 - 2) = -1.

So the range is all real values of x >= -1, or [-1, ∞)

Which graph represents a function with direct variation? ( Please Help ASAP)

Answers

Answer:

second graph

Step-by-step explanation:

direct variation is recognized as y=mx+b, where b=0

y=0 when x=0

the function has (0,0) point

it appears in the second graph only, so the answer is the second graph

Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!

Answers

Answer:

The answer is 7 meters

Step-by-step explanation:

Its 7 meters because if you divide the area by the width you would get the length (49 divided by 7 = 7)

Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Because in N(8)>2.N(5) there is 2 times N(5) in front of it. In the example N(g) means the numbers of students whose grade on the exam was g. so in this case N(8) means the numbers of students whose grade on the exam was 8 and N(5) means the numbers of students whose grade on the exam was 5. So when you turn this equation into words  it means The numbers of students whose grade was 8 is more than twice the number of students whose grade was 5.

the table shows the age in years of employees in a compant

Answers

a

26<a<28

Step-by-step explanation:

The class interval of age in year is 2

so, 2 is the class interval

A shelf has 4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants. You randomly choose a pair of pants from the shelf. What is the probability of choosing a blue pair of pants?

Answers

Answer:

2/5

Step-by-step explanation:

4 blue pairs of pants, 2 black pairs of pants, 1 white pair of pants, and 3 tan pairs of pants = 10 pairs of pants

P( blue) = blue pants / total pants

             = 4/10

             =2/5

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

1. The budget above was created by Alex to help him plan how he will spend the money she earns. He usually earns
$20 each week by babysitting and running errands for his parents. If Alex is sick one weekend and can't earn the
$20. how much will he earn for that 4-week period (assume there are 4 weekends in the month)?​

Answers

Answer:

Alex will be able to earn $60 for that 4-week period.

Step-by-step explanation:

It is given that

Income to Alex each week by babysitting and running errands:

$20.

To find the 4-week period earning, we need to add the value $20 for 4 times:

20 + 20 + 20 + 20 = $80

OR

In other words, 4 week period earning = 4 [tex]\times[/tex] 20 = $80

But, Alex was sick at one of the weekends, so $20 would be earned less.

Hence, during that 4-week period, total earning = $80 - $20

[tex]\Rightarrow[/tex] $60

So, Alex will be able to earn $60 for that 4-week period.

can anyone help me
plzzzzzzzzzzzzzzzzzzz​

Answers

Answer:

1. B

2. A

3. A

4. C

Step-by-step explanation:

ask specific questions for explanations of the answers

A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the designer was asked to reduce its length and its width by 25 percent. By what percent was the area of the final item greater than the area of the original?

Answers

Answer:

300%

Step-by-step explanation:

Let the length of the carpet be L.

Let the width of the carpet be W.

The original area of the carpet is:

A = L * W = LW

The length and width are enlarged by 60%.

The new length is:

L + (L * 60/100) = L + 0.6L = 1.6L

The new width is:

W + (W * 60/100) = W + 0.6W = 1.6W

The length and width are then reduced by 25%.

The new length is:

1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L

The new width is:

1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W

The new area will be:

A = 2L * 2W = 4LW

To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:

4LW - LW = 3LW

% increase is:

[tex]\frac{3LW}{LW} * 100[/tex] = 300%

The area of the final item is 300% greater than the original item.

Answer:

44%

Step-by-step explanation:

;)

a system of linear equations is given by the tables. one of the tables is represented by the equation y=-1/3x+7. The equation that represents the other equation is y= x + the solution of the system is ( , )

Answers

Answer:

1). Other line is, y = [tex]\frac{1}{3}x+5[/tex]

2). Solution of the system is (3, 6)

Step-by-step explanation:

From the table (1),

Let the equation of the line from the given table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Choose two points from the table which lie on the line.

Let the points are (0, 5) and (3, 6)

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

                 = [tex]\frac{5-6}{0-3}[/tex]

                 = [tex]\frac{1}{3}[/tex]

Therefore, equation of the will be,

y - 5 = [tex]\frac{1}{3}(x-0)[/tex]

y = [tex]\frac{1}{3}x+5[/tex] -------(1)

Let the other line from the table (2) is,

y - y" = m'(x - x")

Two points taken from this table are (0, 7) and (3, 6)

m' = [tex]\frac{7-6}{0-3}[/tex]

    = [tex]-\frac{1}{3}[/tex]

Equation of the line will be,

y - 7 = [tex]-\frac{1}{3}(x-0)[/tex]

y = [tex]-\frac{1}{3}x+7[/tex] -------(2)

Therefore, equation of the other line will be, y = [tex]\frac{1}{3}x+5[/tex]

By adding equations (1) and (2),

y + y = [tex]-\frac{1}{3}x+\frac{1}{3}x+5+7[/tex]

2y = 12

y = 6

From equation (1),

6 = [tex]\frac{1}{3}x+5[/tex]

[tex]\frac{1}{3}x=7-6[/tex]

x = 3

Therefore, solution of the system is (3, 6).

Answer:

The first line is 1/3x and 5. For the second line the answer is (3,6).

What is the area of the composite figure? (6π + 4) cm2 (6π + 16) cm2 (12π + 4) cm2 (12π + 16) cm2

Answers

Answer:

16 + 6pi

Step-by-step explanation:

We have a square and 3 semicircles

The area of the square is

A = s^2 and the side length is 4

A = 4^2 = 16

The radius of the semi circle is 2

The area of a semicircle is

1/2 pi r^2

1/2 pi (2)^2 = 2pi

We have 3 of them

3 *2pi = 6pi

Add the areas together

16 + 6pi

Answer:

(6π + 16) cm²

Step-by-step explanation:

The composite shape can be cut into 4 shapes.

3 equal semi-circles and 1 square.

The square has a side length of 2 + 2 = 4cm.

The radius of the semi-circle is 2 cm.

The area of the square is:

4 × 4 = 16 cm²

The area of the semi-circle is:

2²π × 1/2

= (2π) cm²

There are 3 equal semi-circles, so multiply the area by 3.

2π × 3 = (6π) cm²

Add the areas of the 4 shapes.

16 cm² + (6π) cm²

= (6π + 16) cm²

The total area of the composite shape is (6π + 16) cm².

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The backhoe operators are very familiar with the old backhoes and would need to learn some new skills to use the new backhoes. The following information is available to use in deciding whether to purchase the new backhoes. Old Backhoes New BackhoesPurchase cost when new $90,000 $200,000Salvage value now $42,000Investment in major overhaul needed in next year $55,000Salvage value in 8 years $15,000 $90,000Remaining life 8 years 8 yearsNet cash flow generated each year $30,425 $43,900Instructions(a) Evaluate in the following ways whether to purchase the new equipment or overhaul the old equipment. (Hint: For the old machine, the initial investment is the cost of the overhaul. For the new machine, subtract the salvage value of the old machine to determine the initial cost of the investment.)(1) Using the net present value method for buying new or keeping the old.(2) Using the payback method for each choice. 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