The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through
the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

Answers

Answer 1

Answer:

Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: [tex]\frac{1}{2}[/tex]

So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]

Finding y-intercept:

Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept

[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]

Equation of line u:

So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:

[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]

So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]


Related Questions

5 + 11y + 9 what is the answer

Answers

Answer: 11y+14

Step-by-step explanation:

add 5 plus 9 (14) then add that with 11y. you get 25. then add the y. 25 y

Someone please help! I’m willing to pay for someone to help me with my five problems!

Answers

Answer:

28

Step-by-step explanation:

Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28

If you need more help, you can comment! :)

If a 200-mile trip takes 4 hours to com- plete, the average speed is

A. 30 miles per hour.

B. 40 miles per hour.

C. 50 miles per hour.

D. 60 miles per hour.​

Answers

Answer:

Step-by-step explanation:

if you need 4 h to complete a trip of 200 miles

200/4=50 miles/hour

help pls I really need it

Answers

The answer is 2in because 6in+6in=12in so that means 1in+1in=2in :)

18 = 0.29 so 20 = ???

Answers

Answer:

x=29/90 or 0.3222222

Step-by-step explanation:

ok, rewrite the question as a ratio

18/0.29=20/x, cross multiply

18x=.29*20, evaluate x

18x=5.8

x=29/90 or 0.3222222

29

Step-by-step explanation:

29/90

10 x 1/10 brainliest if answer not 1

Answers

Answer:

10/10

Step-by-step explanation:

For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?

Answers

The standard deviation is 4.05

Answer: A

Step-by-step explanation:

4.1

Georgia’s gross pay was $35,600 this year. She is to pay a federal income tax of 16%. How much should Georgia pay in federal income tax this year? Round to the nearest dollar.

Answers

35,600/100*16=$5696.....

Answer:

C on Edg

Step-by-step explanation:

<3

Identify each point as a solution of the system or not a solution of the system.
7 6 5 3 2
23
4 5
6
7
-1
5
(0,4)
(-2,4)
(0,5)

Answers

Answer:

I think it is ether-1 or o,5

Answer:

Did you got the answers for this whole I need them please

Tennis balls are stored in a cylindrical container with height 21 centimeters and diameter 7 centimeters. Three tennis balls fit in one container.
a. Find the volume of the container.
b. Find the volume of a tennis ball.
c. Find the percentage of the container taken up by the tennis balls.

Answers

Solution :

Given that :

Height of the cylinder, h = 21 cm

Diameter of the cylinder, d = 7 cm

Radius = 3.5 cm

Number of balls fits in the cylindrical container = 3

a). The volume of the container is given by

     [tex]$V = \pi r^2 h$[/tex]

         = 3.14 x 3.5 x 3.5 x 21

         = 807.76 cm cube

       

b). Volume of each tennis ball is given by :

     [tex]$V=\frac{4}{3}\pi r^3 $[/tex]

    [tex]$V=\frac{4}{3}\times 3.14 \times (3.5)^3 $[/tex]

       =  179.50 cm cube

c). Volume of three tennis balls = 3 x 179.50

                                                    = 538.50 cm cube

    Therefore, percentage of the container taken up by the three tennis ball is :

[tex]$=\frac{807.76 - 538.50}{538.50} \times 100$[/tex]

= 50 %

 

HELP! whoever gets it right gets brainliest!

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer is B

Answer:

The answer is B

Step-by-step explanation:

BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER

Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3

Answers

Answer:

3+5=5+3

Step-by-step explanation:

a+b=b+a

comunitive property

Answer:

3+5 = 5+3

Step-by-step explanation:

Communative Property states that the numbers on which we operate         (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.

1 When y= 35, x = 22. If the value of y
varies directly with x, what is the value of y
when the value of x is 3 ?
A 113 C 227
B 26 13 D 45 1

Answers

Answer:

Step-by-step explanation:

22/35

Expand.
(x^2)(x^2-6)

Answers

Answer:

This can be expanded to x⁴ - 6x²

Step-by-step explanation:

[tex]x^2(x^2 - 6)\\= x^4 - 6x^2[/tex]

Answer:

If by expanding you mean solving, you answer is x^4−6x²

Step-by-step explanation:

x²(x²-6)

(x²)(x²-6)

(x²)(x²)+(x²)(-6)

x^4-6x²

Work out volume of this sphere leave your answer in terms of pi

Answers

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3

Triangle TSR is similar to Triangle TNM
Which statement below is true?

Answers

Answer:

[tex]\overline{SR}\sim \overline{NM}[/tex]

Step-by-step explanation:

In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

I think yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

I actually hope this is right and that it helped!

Answer:

yes because it doesn't really matter how long the sides are as long as its 180°

Step-by-step explanation:

CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1

Answers

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

Can someone pls help me with this??

Answers

0.25k + 1.5 - k - 3.5

0.25k - k + 1.5 - 3.5

= -0.75k - 2

Answer:

[tex] - 0.75k + - 2[/tex]

Step-by-step explanation:

[tex]0.25 k- 1k[/tex]

[tex]1.5 - 3.5[/tex]

first you will combined 0.25 K - k and you will get -0.75

then combine 1.5-3.5 and get -2

Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075

Answers

Answer:

D.) 0.075

Step-by-step explanation:

The Answer is D. (0.075)

Please also explain how you did it! Thank you

Answers

Answer:

66 degrees

Step-by-step explanation:

360 degrees in a circle

102 and 144 make up the circumference of LPN

LMN however is still to be determined... which is 360-(102+144) = 114

Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.

To find angle LPN (180-114) = 66

1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.

Answers

use the calculator 2949472

Solve the system by substitution.

3r + y = 5
5x – 4y = -3

The solution is?

Answers

Can’t solve, because you have only two equations and three variables.

TWENTY POINTS!!! PLEASE HELP!!!
Find Greatest Common Factor:

33x^5y^7-99x^6y^9-66x^5y^8

Answers

ANSWER: uhm I guess it’s nine and six but I guess technically it’s ^ hope this helped

find the equation of the line that is perpendicular to y=-2/3x and contains the point (4 -8)

Answers

Answer:

y = 3/2x + -14

Step-by-step explanation:

y = -2/3 x

has a slope of -2/3

We want a line perpendicular

Take the negative reciprocal to find the slope

- (1 / -2/3)

3/2

The slope of a line perpendicular is 3/2

Using the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = 3/2x +b

Substitute a point into the equation

-8 = 3/2(4) +b

-8= 6+b

Subtract 6 from each side

-8-6 = b

y = 3/2x + -14

PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS

Answers

the prime factorization of 140 is 2^2 x 5 x 7

the prime factorization of 80 is 2^3 x 5 x 2

The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.

Answers

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

What is the equation for proportions? What does each letter represent?

Answers

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determine
the number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.

Answers

Answer:

10h=200

h=20

Step-by-step explanation:

10h=200

10h/10=200/10

h=20

Multiply the number of hours worked (h) by earnings per hour $10 to get

10h

This needs to be more than ( Greater than) 200

Now you have 10h > 200

Solve for h by dividing both sides by 10:

h >20

This means she needs to work more than 20 hours this week.

a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns​

Answers

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

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