What is the equation of the line passing through the point (2,3) and perpendicular to the line y = 2x+7​

Answers

Answer 1

Answer:

[tex]y =\dfrac{-1}{2}x +4[/tex]

Step-by-step explanation:

Equation of the line: y = mx +b

y = 2x + 7

m = 2

Slope of the perpendicular line = [tex]-\frac{1}{m}[/tex]

   [tex]\sf m_1 =\dfrac{-1}{2}[/tex]

Equation of the perpendicular line:

             [tex]y= \dfrac{-1}{2}x + b[/tex]

This line is passing throught (2 ,3). Substitute the x & y coordinate in the above equation and now we can obtain the value of b (y-intercept)

           [tex]\sf 3 = \dfrac{-1}{2}*2+b\\\\3 = -1 + b\\[/tex]

   3  +  1 = b

          4 = b

Equation:

      [tex]y =\dfrac{-1}{2}x +4[/tex]


Related Questions

Makati and his friends rolled two fair number cubes 500 times and recorded the sum of the numbers shown on the cubes each time. On 42 of the trails sum was 10. Which of these is fair number cubes are rolled

Answers

Answer:

1/2 anwser is B

Step-by-step explanation:

rolled 2 fair number 500 times right? okay so the sum is a number of anytotal added up correct?

it was shown on the cubes each time ,so you can assume wit 42+10=52?2=x well then just divide that by 500! wich is 1/2

If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.


4 feet

5 feet

6 feet

7 feet

Answers

Answer:

6 feet

Step-by-step explanation:

took the test and got it right

Answer:

6 feet

Step-by-step explanation:

(c) 6 feet

Plis help me with the blank spaces !!!! They give me those 4 options as well in the second one

Answers

The total points earned depends on the number of correct answers.

Hope this helps!

What is the equation of a line that crosses the x-axis at 36 and is perpendicular to the line y=-4/9+5

Answers

Answer:

Step-by-step explanation:

Given, line equation is

We have to find the line equation which is perpendicular to the given line in slope intercept form.

Now, let us find the slope of the given line.ven line is in slope intercept form,  

y = mx + c where m is slope and c is intercept.

So, by comparison, slope of given line is

Now, we know that product of slopes of perpendicular lines = -1

SLope of that perpendicular line And we are also given that, perpendicular line passes x aixs at 36. Which means that intercept of x – axis is 36.

The price of an item yesterday was 105. Today, the price rose to 147 find the percentage increase

Answers

Answer:

40%

Step-by-step explanation:

147 - 105 = 42

42/105 = .4

.4 × 100 = 40%

Which number sentence is true?
A. 30.678 > 31.112
B. 81.001 > 80.999
C. 24.510 = 24.5
D. 72.49 < 72.469 ​

Answers

Answer:

B

Step-by-step explanation:

31.112 is actually greater than 30.678 because 31 is a greater number than 30. so the statement stated is false.

24.510 is greater than 24.5 because if you add 2 zeros to 24.5, it would be 24.500(adding zeros after decimal point doesnt change the value). 24.500 is less than 24.510. the numbers are not equal.

72.49 is greater than 72.469 because if you add a zero to 72.49, it will be 72.490. 72.490 is greater than 72.469.

Basically only B is true because 81 is greater than 80.

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?

Answers

Answer:

14 hotdogs

Step-by-step explanation:

Each hotdog is $2.50. Subtract $140 from $175 giving you $25 left to earn. You then take 25 and divide by the unit rate(cost of one hotdog) and you should get 14 more hotdogs need sold to reach $175.

Please solve the attached problem with all steps.

Answers

Answer:

x = 8

Step-by-step explanation:

Theorem

When a secant segment and a tangent segment meet at an exterior point, the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Secant:  a straight line that intersects a circle at two points

Tangent: a straight line that touches a circle at only one point

Given:

tangent segment = xsecant segment = 4 + 12 = 16external secant segment = 4

⇒ x² = 16 · 4

⇒ x² = 64

⇒ x² = √(64)

⇒ x = ±8

As distance is positive, x = 8

A store pays $50 for a pair of shoes. The markup is 25%

Answers

Answer:

Are you asking for the selling price? If yes the answer should be $50 x (1+25%) = $62.5

A relay race covers a distance of 2 1/2 miles. Each runner on the team will run 1/4 mile. How many runners are needed for the team to cover the total distance of the race?

Answers

Answer:

6

Step-by-step explanation:

10 runners

explanation:

1/4 x 10 = 2 1/2

may you please answer this question

Answers

Answer:

Step-by-step explanation:

Vertically opposite angles are congruent.

∠A = ∠C

∠A + ∠C = 254

∠A + ∠A = 254

      2∠A = 254

        ∠A = 254/2

∠A = 127

Linear Pair: In two adjacent angles, if the non common arms are opposite  rays, then they are called linear and they add up to 180

∠A + ∠B = 180  {linear pair}

127 + ∠B = 180

        ∠B = 180- 127

        ∠B = 53°

GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)

Answers

Answer:

I think area will me 24 sq unit

Explanation:

AC=6

BD=8

1/2 × 8 × 6 = 24

Plot the points then find the length of the to intersecting lines… D1 and D2 (please see photo)

The answer is 24units or the second selection.

The radius of a circular swimming pool is 7.8 meters. Which is closest to the circumference of this swimming pool?

f 48.98 m g 191.04 m h 24.49 m j 47.76 m

Answers

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πd

How does it apply here?

We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.

Solving

Step 1: Plug in your values.

[tex]2 * 3.14 * 7.8[/tex]

Step 2: Simplify.

[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98

Therefore, the correct answer is F. 48.98 meters.

The ratio of red to blue marbles in the bag is 5 to 3. If there are 20 less blue marbles than red, how many blue marbles are in the bag?

Answers

Answer:

30

Step-by-step explanation:

red : blue = 5:3

since difference between 5&3 is automatically 2....then just add 0 to 3

11. If mNJ = "
170", mMK = (5x + 8), and mZMLK = (4x + 3)", find mZMLK.
,
M
o
K

Answers

Answer:

∠ MLK = 51°

Step-by-step explanation:

the secant- secant angle MLK is half the difference of the measures of the intercepted arcs , that is

∠ MLK = [tex]\frac{1}{2}[/tex] ( NJ - MK ) ← substitute values

4x + 3 = [tex]\frac{1}{2}[/tex] (170 - (5x + 8) ) ← multiply both sides by 2 to clear the fraction

8x + 6 = 170 - 5x - 8

8x + 6 = 162 - 5x ( add 5x to both sides )

13x + 6 = 162 ( subtract 6 from both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Then

∠ MLK = 4x + 3 = 4(12) + 3 = 48 + 3 = 51°

(24 +2)divide by 2 order operation

Answers

Answer:

13

Step-by-step explanation:

(24+2)/2 would be the expression.

PEMDAS so first complete the numbers in the Parantheseis:

(24+2)/2 = 26/2

Since there are no exponents or mulitplication, divide:

26/2 = 13

Hope this helps!

if x and y are real numbers greater than 1, what is the value of the expression log_x 1 + log_y y?
Answers:
A) 1
B) 0
C) 2

Answers

[tex]\log_x (1)+\log_y (y)\\\\=\log_x x^0 + 1\\\\=0\cdot \log_x x +1\\\\=0+1\\\\=1[/tex]

what is the easiest way to find length in volume

Answers

Answer:

Step-by-step explanationthe easiest way to find the length in volume is by first knowing it's formular wich is L x Wx H  

                                                                            = length x width x height

Multiply and simplify. 11 18 × − 4 11
A) − 7 27
B) − 2 9
C) 5 9
D) 11 27

Answers

Answer:

B) − 2/9

Explanation:

[tex]\hookrightarrow \sf \dfrac{11}{18} * -\dfrac{4}{11}[/tex]

join both fractions

[tex]\hookrightarrow \sf \dfrac{11*-4}{18*11}[/tex]

simplify by multiplying

[tex]\hookrightarrow \sf \dfrac{-44}{198}[/tex]

simplify the following

[tex]\hookrightarrow \sf -\dfrac{2}{9}[/tex]

[tex]\bold{Heya!}[/tex]

→ Answer :-

B) [tex]\sf{-\frac{2}{9}[/tex]

→  EXPLANATION :

[tex]\sf{\frac{11}{18}(-\frac{4}{11})[/tex]

Apply rule :  [tex]\sf{a(-b) = -ab}[/tex]

[tex]\sf{\frac{11}{18}(-\frac{4}{11}) = -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

[tex]\sf{= -\frac{11}{18}[/tex] × [tex]\sf{\frac{4}{11}[/tex]

Cross - cancel common factor: [tex]\sf{11}[/tex]

[tex]\sf{= -\frac{4}{18}[/tex]

Factor the number: [tex]\sf{4 = 2}[/tex] × [tex]\sf{2}[/tex]

[tex]\sf{= -\frac{2 \: x \: 2}{18}[/tex]

Factor the number: [tex]\sf{ 18 = 2 \: x \: 9}[/tex]

[tex]\sf{= - \frac{2 \: x \: 2}{2 \: x \: 9}[/tex]

Cancel common factor: [tex]\sf{2}[/tex]

[tex]\sf{-\frac{2}{9}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

If f(x) = 3x + 5 and g(x) = -2x - 5x+3, find (f + g)(x).

O A. (f+ g)(x) = -2x + 8
O B. (f + g)(x) = -4x + 8
OC. (f+ g)(x) = -2x2 + 8x+ 8
OD. (f + g)(x) = -2x2 - 2x + 8

Answers

Answer:

D. (f + g)(x) = -2x² - 2x + 8

Step-by-step explanation:

Given:

f(x) = 3x + 5g(x) = -2x² - 5x + 3

Find (f + g)(x):

⇒ [tex]f(x) + f(g)[/tex]

[tex]3x + 5 + ( -2x^{2} - 5x + 3 )[/tex]

⇒ [tex]3x + 5 - 2x^{2} - 5x + 3[/tex]

Combine like terms:

⇒ [tex]-2x^{2} + 3x - 5x + 5 + 3[/tex]

⇒ [tex]-2x^{2} - 2x + 8[/tex]

Answer: D. (f + g)(x) = -2x² - 2x + 8

How many degrees is the angle measurement of x?

Answers

Answer:

x ≈ 37.13°

Step-by-step explanation:

using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13.4}{22.2}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{13.4}{22.2}[/tex] ) ≈ 37.13° ( to the nearest hundredth )

Sophie and Marcos are each saving for new bicycles. So far, Sophie has $7 saved and can earn $4 per hour walking dogs. Marcos has $3 saved and can earn $6 per hour at his family's plant nursery. After how many hours of work will Sophie and Marcos have saved the same amount? What will that amount be? Use the system of equations below to complete the graph.

Answers

Answer:

2 hours

Step-by-step explanation:

You can express each person's total earning as the formula for a line. (y=mx+b) Use the amount per hour that can be earned as the slope (m) and the amount already earned as the y intercept (b)

Sophie: y=4x+7

Marcos: y=6x+3

Since y is the total amount of money saved and you know that both people need to earn the same amount of money, we know that y is the same in both equations so we can use substitution to substitute one of the equations in for y in the other equation like this:

4x+7=6x+3

From here, solve algebraically

Subtract 3

4x+4=6x

Subtract 5x

4=2x

Divide by 2

x=2

So they will have the same amount of money after 2 hours.

3.4k+(0.63−0.81k)÷0.9=5.7

Answers

Part I: Converting the terms into fraction form

Given equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.7

First, let's convert the terms (that are in decimals) into fractions.

3.4k = 34k/100.63 = 63/1000.81k = 81k/1000.9 = 9/105.7 = 57/10

Replace the fraction forms in the equation:

3.4k + (0.63 - 0.81k) ÷ 0.9 = 5.734k/10 + (63/100 - 81k/100) ÷ 9/10 = 57/10

Part II: Simplifying the division being performed

Since the expression in the parenthesis can't be simplified, we can open the parenthesis. Before we do that, we need to divide the expression by 9/10 (as division is third in BODMAS). This can be done by converting the divisor into it's reciprocal and changing the sign to a multiplication sign.

34k/10 + (63/100 - 81k/100) × 10/9 = 57/10

Since there is no other division being performed, we can simplify the distributive property (as multiplication is fourth in BODMAS).

34k/10 + [63/100 × 10/9] - [81k/100 × 10/9] = 57/1034k/10 + [7/10] - [9k/10] = 57/1034k/10 + 7/10 - 9k/10 = 57/10

Part III: Isolating "k" to determine it's value

Combine like terms as needed:

34k/10 + 7/10 - 9k/10 = 57/10k(34/10 - 9/10) + 7/10 = 57/1025k/10 + 7/10 = 57/10

Subtract 7/10 both sides of the equation to isolate "x" and it's coefficient.

25k/10 + 7/10 - 7/10 = 57/10 - 7/1025k/10 = 50/10

Cancel the denominators (as a/b = c/b ⇔ a = c)

25k/10 = 50/1025k = 50

Divide both sides by 25 to isolate "k"

25k/25 = 50/25k = 2

Don’t mind my answers I got them wrong but can you please help? I’ll award brainliest

Answers

Answer:

y=mx+b

Step-by-step explanation:

use that formula

According to this box plot of test scores, the top 25% of the students scored about what score?

options:

86


100


96


90

Answers

96

In this type of box plot, the two end lines are the absolute maximum and minimum values, each edge of the box is the lower and upper 25%, respectively from left to right, and the line in the box is 50%

So the answer here is the right edge of the box, or 96

What rule can be used to find the next term of the sequence? an = an–1 – 79 an = an–1 – 13 an = an–1 13 an = an–1 79

Answers

The rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

[tex]a, a + d, a + 2d, ... , a + (n+1)d, ...[/tex]

Its nth term is

[tex]T_n = a + (n-1)d[/tex]

(for all positive integer values of n)

And thus, the common difference is

[tex]T_{n+1} - T_n[/tex]

for all positive integer values of n

Here, the considered sequence is 27, 40, 53, 66, 79,...

We see that:

40-27=13

53-40=13

and so on, the difference between each consequtive pair of terms of this sequence is 13.

Thus, due to having common difference in consequtive terms, this is an arithmetic sequence.

For this series, we've got:

Initial term = a = 27Common difference = d = 13

Thus, its nth term is given by:

[tex]T_n = a+(n-1)d= 27 +(n-1)13 = 13n + 14[/tex]

Since the options are using the notation [tex]a_n[/tex] instead of [tex]T_n[/tex], so we will use that too. Thus, nth term and (n-1)th terms are:

[tex]a_n = 13n + 14\\a_{n-1} = 13(n-1) + 14 = 13n + 1\\[/tex]

Thus, we can write nth term in the form of (n-1)th term as:

[tex]a_n = 13n + 14 = 13n + 1 + 13 = a_{n-1} + 13\\\\a_n = a_{n-1} + 13[/tex]

Thus, the rule that can be used to find the next term of the sequence 27, 40, 53, 66, 79,... is given by: Option C: a_n = a_(n-1) + 13

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

Answer:

c

Step-by-step explanation:

A company is considering adding a new ingredient to its bread recipe to increase the freshness of the bread. to study the impact of adding ingredient p, q, r, s, or t to the recipe, they baked 270 loaves of bread. some of the loaves contained no extra ingredients, while each of the rest contained one of the five new ingredients. the freshness of the bread was checked one week later, and the results were used to create the two-way tables below. which tables suggest an association between adding an extra ingredient and the freshness of the bread? select the three correct answers. a 3-column table with 2 rows titled effect of ingredient p on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 11, 4. column 3 is labeled does not stay fresh with entries 39, 16. a 3-column table with 2 rows titled effect of ingredient q on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 9, 4. column 3 is labeled does not stay fresh with entries 41, 16. a 3-column table with 2 rows titled effect of ingredient r on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 16, 4. column 3 is labeled does not stay fresh with entries 34, 16. a 3-column table with 2 rows titled effect of ingredient s on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 4, 4. column 3 is labeled does not stay fresh with entries 46, 16. a 3-column table with 2 rows titled effect of ingredient t on freshness. column 1 has entries contains the ingredient, does not contain the ingredient. column 2 is labeled stays fresh with entries 34, 4. column 3 is labeled does not stay fresh with entries 16, 16.

Answers

Answer:

Tables 3,4 and 5

Step-by-step explanation:

Answer on quizlet.

Answer:

h

Step-by-step explanation:

What is Arrhenius's definition of an acid?
O a substance that dissociates in water to produce hydroxide ions (OH)
O a substance that dissociates.in water to produce hydrogen ions (H+).
o
any substance that can donate hydrogen ions (H+)

Answers

Hey there!

The correct option will be (B). a substance that dissociatesin water to produce hydrogen ions (H+).

Explanation:

Acids always produce (H+) when dissociates with water.

Hope it helps

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Arrhenius theory of an acid: This theory was discovered by Sir Svante Arrhenius in 1887. According to this theory acids are hydrogen containing compounds, when dissolves in water it gives (H+) ions.

[tex]\large{\underline{\underline{\pmb{\sf{\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{What \: is \: Arrhenius's \: definition \: of \: an \: acid?}[/tex]

[tex] \implies[/tex] (B) substance that dissociates.in water to produce hydrogen ions (H+).So, option (B) is correct.

[tex] \boxed{ \frak \red{happy \: learning}}[/tex]

Can I have help on this?

Answers

3 is the answer… . . . . .. . . . .

The base area of a cylinder is 200.96m2

and the volume is 1205.76 in3

. what is the height of the cylinder?

Answers

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

                                   = 1205.76 ÷ 200.96

                                   = 6 in

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