Mathematics High School

13. Which equation represents the line that passes through the point (4,-5) and is
perpendicular to y = 1/2x + 8?

Answers

Answer 1

Answer:

y = - 2x + 3

Step-by-step explanation:

since the line passing through ( 4, - 5 ) is perpendicular to y = 1/2 x + 8, product of the slope of the lines will be - 1.

That is ,

    [tex]m_1 \times m_ 2 = - 1[/tex]       [tex][ \ where \ m_ 1 = \frac{1}{2} \ ][/tex]

   [tex]\frac{1}{2 } \times m_2 = - 1 \\\\m_ 2 = -1 \times 2 = -2[/tex]

Find the equation the line perpendicular to the given line :

[tex]( y - y_2 ) = m_ 2 ( x - x_ 2 ) \ , [ \ where \ (x_2 , y_2 ) = ( 4 , -5 ) \ ][/tex]

[tex]( y - ( -5)) = -2 ( x - 4)\\\\( y + 5 ) = - 2 x + 8\\\\y = -2x + 8 - 5 \\\\y = -2x + 3[/tex]

Related Questions

Parallel to y = 3x − 2 and passes through (1, 4)

Answers

Answer:

y=3x + 1

Step-by-step explanation:

slope is same

insert coordinates into x and y values

determine y-intercept

A square pyramid has base edges of 4 cm and a slant height of 10 cm, what is its
surface area?
a. 96 cm2
b. 193 cm2
c. 240 cm2
d. 272 cm

Answers

Answer:

96 cm 2

Option A is the correct answer

Step-by-step explanation:

Please mark me as Brainliest

Find how many kilometers they traveled by
bike.
Enter the correct answer.
George and Carmen went on a bicycle
trip. They took a bus to their starting
point, and then biked the rest. They
traveled 325 kilometers in total, and
they biked 75 kilometers more than they
were bussed.
000
DONE
Clear all
2
Let x = kilometers traveled by bike and
y = kilometers traveled by bus. Find how many kilometers they traveled by bike

Answers

Answer:

Step-by-step explanation:

Biking is x and bussing is y. We know that the total distance is 325. Thus, the first equation in this system is

x + y = 325 (which says that the km traveled by bike plus the km traveled by bus totaled 325 km).

We also know that the pair biked 75 km more than they rode, giving us the second equation in our system:

x = y + 75. Now we use simple substitution and plug y + 75 in for x in the first equation:

(y + 75) + y = 325 and

2y + 75 = 325 and

2y = 250 so

y = 125 km. They rode the bus for 125 km and biked for 325 - 125 which is 200. And the difference is 75 km, as it should be!

Hurry I need answers to this problem

Answers

y = 1/3x

This is explained with using rise over run, as the point rises 1 time and moves over 3 times from the y intercept, hence the name. Hope this helps, and makes sense, too!

A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl

Answers

Answer:

[tex]P(G)=0.475[/tex]

Step-by-step explanation:

From the question we are told that:

Number of boys[tex]N_b=357[/tex]

Number of girls [tex]N_g=323[/tex]

Total Number of students

[tex]N_t=N_b+N_g[/tex]

[tex]N_t=680[/tex]

Generally the equation for Probability of Choosing a Girl is mathematically given by

[tex]P(G)=\frac{N_g}{N_t}[/tex]

[tex]P(G)=\frac{323}{680}[/tex]

[tex]P(G)=0.475[/tex]

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the questions with their solutions. 5 80 6 200 8 150 Joshua has 11 baskets of apples. In total, he has 88 apples. How many apples are there in 1 basket? arrowRight Mindy can type 40 words per minute. How many words can she type in 5 minutes? arrowRight Jessica had 20 balloons, which she distributed among 4 of her friends. How many balloons did each friend get? arrowRight Max can make 1 greeting card in 5 minutes. How many greeting cards can he make in 30 minutes? arrowRight

Answers

Answer:

1.) 8 ; (2.) 200 ; (3.) 5 ; (4.) 6

Step-by-step explanation:

1.)

Number of apple baskets = 11

Total number of apples = 88

Number of apples per basket = 88 / 11 = 8

2).

Number of words per minute = 40

Number of words that can be typed in 5 minutes :

40 * 5 = 200 words

3.)

Number of balloons = 20

Number of friends = 4

Number of balloons per friend = 20/4 = 5

4.)

Time required to make 1 greeting card = 5 minutes

Number of greeting cards that can be made in 30 minutes :

30 minutes / 5 minutes = 6 greeting cards

Người ta nuôi cá trong một bể xây mặt bể là hình chữ nhật có chiều dài là 80m chiều rộng 60m. Trên mỗi mét vuông mặt bể người ta thả 12 con cá giống đến mỗi kỳ thu hoạch trung bình mỗi con cân nặng 240g giá bán 32000 đồng/kg và thấy lãi khi qua kỳ thu hoạch này là 200 triệu. Hỏi vốn mua cá giống và chi phí trong đợt này là bao nhiêu?

Answers

t nghĩ giá vốn là 242368000 đồng

According to the histogram, which interval of time do most students spend on the Internet?

0 - 30 minutes
31 - 60 minutes
61 - 90 minutes
91 - 120 minutes

Answers

Answer:

91 - 120 minutes

Step-by-step explanation:

In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.

Give reasons.
a.
Mass is a physical quantity.​

Answers

Mass in the volume of matter present. Hence, mass is a physical quantity.

\frac{1}{cos^{2} x}-(3+\sqrt{3} )tanx-3+\sqrt{3} =0

Answers

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

What is the correct solution set for the following graph?

Answers

Answer: i do not see a graph

Step-by-step explanation:

Given a room is 14 feet by 16 feet and we have a circular rug with a radius of 4.5
feet, calculate the amount of floor left uncovered by the circular area rug in a
rectangular living room. Show all work.

Answers

The amount of floor left uncovered by the circular area rug is 160.36 ft².

What is the amount of floor left uncovered by the circular area rug?

The first step is to determine the area of the rectangular room.

Area of the rectangular room = length x width

14 x 16 = 224 ft²

The second step is to determine the area of the circular rug.

area of the circular rug = πr²

= 22/7 x 4.5² = 63.64

Now, subtract the area of the rug from the area of the room:

Area left uncovered =  224 ft² -  63.64 = 160.36 ft²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.

Answers

Answer:

sorry

Step-by-step explanation:

hindi ko din alam

the coordinates of three vertices of a rectangle are -2, 3, -2, -1, and 3, -1. what are the coordinates of the fourth vertex
​

Answers

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance

In ΔJKL, KL = 14, LJ = 11, and JK = 4. Which list has the angles of ΔJKL in order from smallest to largest?

Answers

Answer:

m<L, m<K, m<J

Step-by-step explanation:

The angle that sees the longest side length has the biggest measurement

so

for listing the angles from smallest to largest

m<L, m<K, m<J

Answer:K J L

Step-by-step explanation:

- Mariana debe tomar dos pastillas; una cada 6 horas y otra cada 9 horas. Si a cierta hora toma las dos pastillas juntas, ¿después de cuantas horas volverá a tomarlas simultáneamente?

Answers

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?​

Answers

Answer:

7 times 5

35

divided by two

17.5

times 3

52.5 cubic inch

Plzz I beg someone to finish ALL of this :(. I’ve stayed up all night to do this but I couldn’t figure all of them out. Pls pls pls!!! ill mark you brainliest n I can give you a thank you such as 5 Stars in return. Please take your time and I hope you all have a amazing day!
(Spam/same words/diff pics/)

Answers

Answer:

Step-by-step explanation:

1)

9:10

+ 0:45

9:55      

so at 9:55 she finished her eating.

2)

  10:25

- 2:15

8:10

so test started at 8:10

3)

9:15

-7:30

2:15    

si games duration was 2;15

4)

2:40

+25

3:05

 se reached home at 3:05

The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is

Answers

Answer:

???????????????????????

Step-by-step explanation:

sorry di ko po alam yung sagot pasensiya na po

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

[tex]x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}[/tex]

From the above equation , y intercept of first line is [tex]\frac{-3}{2}[/tex]

Solve the second equation for y and find out y intercept

[tex]2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3[/tex]

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

[tex]\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5[/tex]

Answer:

The distance between the parallel lines = 1.5

Reference:

https://brainly.com/question/24145911

What is the value of the expression below?
(+8) +3.545
0 17.
17
7
10
니
18
10
○ 212
0 24를

Answers

please type it correctly and i can help Step-by-step explanation:

PLEASE HELP!!


I'll mark brainliest! Please put it neatly so I can see :)

Answers

Answer: you can put it into addition form or multiplication just take the number from that place as the right amount of zeros behind it and you should be good so on 6 it could be 90 or if your suppose to be putting it in multiplication it would be 9x10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

decomposed answ:

6. 9*10

7. 4*10

8. 89*10

9. 3*100

10. 7*1000

11. 37*100

decomposition:

12. 56*10

13. 43*100

14. 60*100

The world population in 2000 was approximately 6.08 billion. The annual rate of increase
was about 1.26%
which year will it be when the population reaches 7.5 billion?

Answers

Answer:

6

Step-by-step explanation:

Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft

Answers

y equals 240.3 ft. This is because the bottom angle of the triangle is an alternate interior angle to 31 degrees, so it is also 31 degrees. You can then create the equation tan31=y/400. To find y multiply each side by 400 and you’ll get 240.344

Las calificaciones de los alumnos en un examen de Estadística han sido: 6, 4, 4, 3, 6, 10, 1, 0, 2, 6 ,6, 8, 5. Calcula su media. Seleccione una: a. 4.6 b. 6.0 c. 5.0 d. 4.7

Answers

it is going dejkeke f fhrjej me birkenhead heineken jejej

Which inequality can be used to explain why these
three segments cannot be used to construct a triangle?

Answers

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

What percent is represented by the shaded area?

Answers

86.5%
173/200=(convert to decimal)86.5

The diameter of a circle is 9 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

[tex]C=28.3m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=9m[/tex]

Radius[tex]r=4.5m[/tex]

Generally the equation for Circumference of a circle is mathematically given by

[tex]C=2\pi r\\\\\C=2*\pi*4.5m[/tex]

[tex]C=28.3m[/tex]

Answer:

Step-by-step explanation:

From the question we are told that:

Diameter

Radius

Generally the equation for Circumference of a circle is mathematically given by

Have a good day

Step-by-step explanation:

Which expression is equivalent to 4+2(1+3x)?

a. 24x

b. 6 + 18x

c. 6 + 6x

d. 4 + 8x

ps: any incorrect, irrelevant, plagiarized, or absurd answers will be reported ! sorry for the inconvenience !

Answers

Answer:

6+18x

Step-by-step explanation:

=6(1+3x)

=6×1+6×3x

=6+18x

What is the name of the function f(x)=|x|
A. Linear Function
B. Absolute value Function
C. Quadratic Function
D. Cubic Function

Answers

Answer: B. Absolute value function

What is the solution set of the equation 3x2 = 48 ?​

Answers

Answer:

Step-by-step explanation:

6=48

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