Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)

Which Of These Is A Point-slope Equation Of The Line That Is Perpendicular Toy- 25 =2(x- 10) And Passes

Answers

Answer 1

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

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

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

Therefore, the correct option is C.


Related Questions

57.351 rounded to the ones place

Answers

How do you round to the ones place?

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

Answer:

Step-by-step explanation:

do u mean round to the nearest 10th as in one decimal place or to the nearest  one not decimal place?

–5(–2) =
please help :) :D

Answers

Answer:

10

Step-by-step explanation:

-5 * -2 = 10

cuz - * - = +

and 5 * 2 = 10

hence 10

Answer:

-7

Step-by-step explanation:

-5(-2)

-5-2

-7

..........

Graph the line y=-1/4x+6

Answers

This is your perfect answer

Please help I will mark brainliest

Answers

Answer:

a)(2x+1)² - 3

4x² + 4x + 1 - 3

4x² + 4x - 2

4(-2)² + 4(-2) - 2

16 - 8 - 2

6 (final answer)

b) 4(3)² + 4(3) - 2

36 + 12 - 2

46 ( final answer)

c) 2(x²-3) + 1

2x² - 6 + 1

2(3)² - 5

18 - 5

13(final answer)

What additional information can be included in the figure showing kite ABCD with
diagonals AC and D?
A) _B= 20
B) is a perpendicular bisector of
C) 21+ m_C = 180°
OD C = 30

Answers

Given:

In ABCD, AB=BC, AD=CD.

To find:

The additional information that can be included in the figure showing kite ABCD with  diagonals AC and BD.

Solution:

We know that, a quadrilateral is a kite if,

1. Two pairs of congruent sides which are adjacent to each other.

2. One diagonal is perpendicular bisector of other.

From the given information, we have two pairs of consecutive congruent sides AB=BC and AD=CD.

ABCD is a kite if it holds the second property, i.e., one diagonal is perpendicular bisector of other.

So, the required additional information is "segment BD is perpendicular bisector of segment AC".

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

BD is a perpendicular bisector of AC

Bryson can travel 28 1/4 miles in 1/2 hour. What is his average speed in miles per hour?

Answers

Answer:

56 if rounding but 56.50 if not

Step-by-step explanation:

rate

Duff says that 10 times as many as 5 tens is 5 thousands. Is duff correct

Answers

Answer: My guess is hes incorrect,  its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500

Answer:

No he’s not correct

Step-by-step explanation:

So he says that 10 times 5 tens is 5 thousands. 5 tens is 50. So if you do 10 times 50 it’s only 500 not 5 thousand. At least this is what I think you mean

The box-and-whisker plot shows the number of books read by history students
during the last school year.
+
2.
3
4.
5
6
7
8
g
9
10
11
12
13
14
15
16
What is the range of the data?

Answers

Answer:

43

Step-by-step explanation:

The range of the data is 14.

What is a boxplot?

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

Learn more about boxplot here :

https://brainly.com/question/24834228

#SPJ2

Which relation is NOT a function a: y=5x b: y=x2 c: x=3 d: y= 6x

Answers

Answer:

C. x = 3

Step-by-step explanation:

because it is not a function, it's an answer. The other equations are all equal to y, which you can find the x and the y for a coordinate, but for c you have just x, and without y you can't have a function.

Answer:

x = 3

Step-by-step explanation:

Think about an archery practice. One target can get hit by multiple archers, but an archer can only shoot one arrow. Therefore its x = 3, because the same x value can not hit every y. Hope this helps, its for more visual learners.

Archers (x)    Targets (y)

     X               O

     X               O

     X               O

     X               O

What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units

Answers

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

What is the result of 60-15? Use the model to find the answer. A 4 B 5 C 12 D 20​

Answers

Answer:

its a).4

Step-by-step explanation: 60 divided by 15= 4 you can use a calculator to check if im right if you dont trust me

The answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

60 ÷ 15

Using model:

= (15 + 15 + 15 + 15) ÷ 15

= 1 + 1  + 1 + 1

= 4

Thus, the answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ6

slope of -3,-2 and -1,-5

Answers

Answer:

14

Step-by-step explanation:

-3-2 is a slope and you add numbers

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

P(-11 , 14)

Step-by-step explanation:

Explanation:-

Given points A(-6, 9), B(2, 1); Ratio 5 : 3

The Point P divides the directed line segment from A to B in the given ratio Externally

       5 : 3

A( -6,9)    B(2,1)

we will use formula



                            =   [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]

                           =  [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]

The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally



ray bd bisects angle abc. solve for x

Answers

Answer:

x = 10

Step-by-step explanation:

Since, ray BD bisects ∠ABC,

Therefore, m∠ABD = m∠CBD

By substituting the values of the angles,

x° = (4x - 30)°

x - 4x = -30

-3x = -30

x = 10

Therefore, x = 10 will be the answer.

Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5,280 feet)

Answers

Answer:

Quincy is 5.5 mi/h faster than Marissa

Step-by-step explanation:

Speed

It's required to compare the speed of Quincy and Marissa knowing that Quincy rides his bicycle 1 mile in 4 minutes.

The speed can be calculated as the distance by the time, but it's required to express the speed in miles/hour.

4 minutes is 4/60 = 0.0667 hours, thus Quincy's speed is:

[tex]\displaystyle \frac{1\ mile}{0.0667\ h}=15\ mi/h[/tex]

Quincy rides at 15 miles/hour.

Marissa runs 13,376 feet in 16 minutes. Since 1 mile=5,280 feet:

13,376 / 5,280 = 2.533 miles

16 minutes = 16/60 = 0.2667 hours

Marissa's speed is:

[tex]\displaystyle \frac{2.533\ mile}{0.2667 \ h}=9.5\ mi/h[/tex]

The difference is 15 - 9.5 = 5.5 mi/h

Quincy is 5.5 mi/h faster than Marissa

Question in picture below will give brainly.

Answers

Answer:

The Best answer would be The Third Option Below

Step-by-step explanation:

The area of rectangle is 35 square feet.the length of rectangle is 5feet what is the width of the rectangle ​

Answers

What class is this ? Tell me if you can

Answer:

the answer should be 7

Step-by-step explanation:

The largest prime number that is a factor of 35 is multiplied by the smallest prime number

Answers

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?

Answers

Answer:

C. 498

Step-by-step explanation:

Total number of words typed by both Mark and Carol is 498.

Rate of typing by Mark = 20 word per minute

Rate of typing by Carol = 22 words per minute

Since, Mark starts typing at 1:00 pm  and stop at 1:15 pm.

So, time taken by Mark is 15 minute.

number of words typed by  Mark = [tex]20*15=300[/tex]

Since, Carol starts typing 6 min late , i.e.  at 1:06 pm  and stop at 1:15 pm.

So, time taken by Carol is 9 minute.

number of words typed by  Carol =[tex]22*9=198[/tex]

Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.

Learn more:

https://brainly.com/question/23145277

1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?

Answers

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 11/4 feet long. What is the maximum number of the smaller pieces of wire that can be cut from the original piece of wire?

Answers

Answer:

1

Step-by-step explanation:

Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one

The slope of the line y - 4x = -2 is 4.
False
O True

Answers

Answer:

True

Step-by-step explanation:

Set up the problem in slope intercept i.e y = mx + b. Add 4x to both sides to create y = 4x -2.  Any number or fraction in the m part is the slope. So the slope is 4.

True, the slope of the line y - 4x = -2 is 4.

The equation of a line in slope-intercept form with slope m is,

y = mx + c

Where 'c' is the y-intercept of the line.

Given that,

The equation of a line is,

y - 4x = - 2

Now it can be written in a slope-intercept form as,

y - 4x = - 2

Add 4x on both sides,

y - 4x + 4x = - 2 + 4x

y = 4x - 2

By comparing with slope - intercept of the equation,

Slope (m) = 4

Therefore, the statement is true.

To learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ6

Solve equation for
0<θ<2pi

5-1/4sinθ =5

Answers

the answer is 5 look at the picture for proof

Need help! Which matrix equation represents the system of equations?
[2x+ y =5
[5x+3y -12

Answers

Step-by-step explanation:

The given equations are :

2x+ y =5 ....(1)

5x+3y = 12

We need to find the matrix equation that represents the system of equations.

[tex][A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right][/tex]

[tex][B]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

And

[tex][X]=\left[\begin{array}{cc}x\\y\end{array}\right][/tex]

Hence, the matrix equation is :

[tex]\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

Hence, the correct option is (b).

A local grocery store decides to offer a free piece of fresh fruit (banana or apple) to all shoppers in the produce department. The store is conducting an observational study to determine which type of fruit is selected more often. At the end of the first day, the store found that twice as many shoppers select an apple.
The grocery store then repeats the observational study for 14 days. All studies yield similar results. What generalization can be made from the results of this study?

A.
Given the choice of a banana or an apple, twice as many shoppers will select an apple.
B.
The results are inconclusive; therefore, a generalization cannot be made regarding which type of fruit is preferred by most shoppers.
C.
There is not enough information to generalize the study’s results.
D.
Given the choice of any type of fruit, twice as many shoppers will select an apple.

Answers

Answer:

A.

Step-by-step explanation:

If the results are similar (A) should be your answer!

Option A is correct.

What is generalization?

Generalization is a process which leads to something more general and whose product consequently refers refers to an actual or potential manifold  in a certain way.

According to the given question

"At the end of the first day, the store found that twice as many shoppers select an apple"

So, the generalization can be made from the above result is " from the given choice of a banana or an apple, twice as many shoppers will select an apple".

Hence, option A is correct.

Learn more about generalization here:  

https://brainly.in/question/10736010

#SPJ2  

I need help, if is right I mark you as brainliest.


A. He made a division error.
B. He combined the variable terms incorrectly.
C. He combined the constants incorrectly.
D. He distributed -5 incorrectly.

Answers

Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

please help meeeeeeeeee

Answers

Answer:

39 degrees

Step-by-step explanation:

27 + |-12| = 39 to change from -12 to 27 you have to add the distance they are away from each other on a number line by adding the absolute value of -12 to 27 to find their distance

Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.

Answers

Answer:

Step-by-step explanation:

Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]

1). Probability of getting the red crewmate,

   [tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]

   Probability of getting a chef hat,

   [tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]

  Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]

   = [tex]\frac{1}{2}\times \frac{1}{8}[/tex]

   = [tex]\frac{1}{16}[/tex]

2). Probability of getting blue crewmate,

     [tex]P_1=\frac{2}{6}[/tex]

          [tex]=\frac{1}{3}[/tex]

   Probability of getting an egg hat,

    [tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]

   Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]

    = [tex]\frac{1}{3}\times \frac{1}{4}[/tex]

    = [tex]\frac{1}{12}[/tex]

3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]

    Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]

    Probability of getting a green crewmate and banana hat

    = [tex]\frac{1}{6}\times \frac{3}{8}[/tex]

    = [tex]\frac{1}{16}[/tex]      

True or False. Use the information below to answer questions 10, 11, and 12.
The local sporting goods store sells footballs at the following rate.

Number of Footballs n Total Price t
2 $17.00
4 $34.00

Use the chart above and the following information to answer the true and false questions that follow. The sporting goods store also sells baseballs at a 50% of the cost of the footballs. Determine which of the following statements are true. Select True or False for each statement.

10. The price of 6 baseballs is less than the price of 4 footballs. True or False
11. The difference in the price of 1 football when compared to the price of 1 baseball is less than $3
12. The price of 3 footballs is equal to the price of 6 baseballs. True or False

Answers

Answer:

True, False, True

Step-by-step explanation:

Calculate the unit price of a football and a baseball

2 footballs cost $17.00 , then

1 football costs $17 ÷ 2 = $8.50

A baseball is 50% of a football, thus

cost of base ball = 50% of $8.50 = 0.5 × $8.50 = $4.25

(10)

4 footballs cost $34.00 ( given in table )

6 baseballs cost 6 × $4.25 = $25.50 < $34

Thus 6 baseballs < 4 footballs is True

(11)

The difference in price = $8.50 - $4.25 = $4.25

Thus the difference in price is greater than $3, not less False

(12)

3 footballs cost 3 × $8.50 = $25.50

6 baseballs cost 6 × $4.25 = $25.50

Thus the costs are equal is True

Answer:

Answer:

see explanation

Step-by-step explanation:

1

(a)

If 2 chords of a circle intersect then the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord.

(b)

If 2 secants are drawn from an external point to a circle then the product of the measures of one secant's external part and the entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

(c)

If a tangent and a secant are drawn from an external point to a circle , then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant.

2

A radian is defined as the angle subtended at the centre of a circle by an arc equal to the radius of the circle.

1 revolution = 360° = 2π radians

1 radian = \frac{360}{2\pi }

360

≈ 57°

3

(a)

An inscribed circle of a triangle is a circle drawn inside a circle so the circle barely touches the sides of the triangle.

(b)

The incentre is at the point of intersection of the triangle's 3 angle bisectors.

(c)

A circumscribed circle of a triangle ( circles drawn around the triangle so that the circle passes through each of the triangles's vertices.

(d)

The circumcentre is at the intersection of the perpendicular bisectors of the triangle's sides.

'

help me pls

The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?

Answers

Ans

b-18 s-42

Step-by-step explanation:

Other Questions
Which pancreatic digestive enzymes digest starches? WILL GIVE BRAINLIESTjust need answer:) 12 blue cups ,9 red cups ,and 14 white cups, Question 1 (5 points) Saved(01.01 LC)Which of the following is a rational number? (5 points)square root of 2, square root of 3, square root of 4, and square root of 5Question 1 options:1) square root of 22) square root of 33) square root of 44) square root of 5 please help me with this 1 question. thank you. Round 5.096 to the nearest tenths Kesha its plain to rent a van for a trip to Mt.rainier two of her friends each went to the same type of van from the same car rental company last week The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in millions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place. After a careful analysis of the map above which title would best represent the map ? pls help quickWhich statement describes the blood type of a person with the alleles IAi?It is type AB because I and i are codominant.It is type AB because A and i are codominant.It is type A because i is dominant and A is recessive.It is type A because A is dominant and i is recessive. In the recipe of a juice 2 cups of sugar is needed for 3 oranges. How many oranges are needed for 6 cups of Sugar? Simplify the following. -(3z)2 5n + 3(6 + 7n) whats the answer What is the holy book of islam? David and Gino each have coins with the same total value. David has a mixture of nickels and dimes, and he has 8 more nickels than he has dimes. Gino only has nickels, and he has 20 more nickels than David.What is the value of David's coins?A. $1.45B. $1.90C. $0.55D. $1.50 is oxygen biotic or abiotic Amata mixes 2 parts black paint with 3 parts white paint to make 90 ML of gray paint. How much white paint does amata paint does amata use to make the gray paint? Which answer below most accurately describes both cells? how do i do this- my brain has evaporated Which direction is Egypt from Rome