The equation for line s can be written as y = -8/7x - 4. Line t, which is perpendicular to line
s, includes the point (10, 9). What is the equation of line t?

Answers

Answer 1

Answer:

y=-8/7x-4

from, m1m2=-1

-8/7m2=-1

m2=7/8

again from, m=(y-y1)/(x-x1)

7/8=(y-9)/(x-10)

8(y-9)=7(x-10)

8y-72=7x-70

8y=7x-70+72

8y=7x+2

therefere,

y=7/8x+1/4


Related Questions

write an equation for a line parallel to y=-2x-1 that passes through (2,-7)

Answers

Answer:

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

y-(-7) = -2(x-2)

y + 7 = -2x + 4

y = -2x + 4 - 7

y = -2x - 3

Determine whether each point lies on the circle. Then use symmetry to determine another point on the circle.


Circle K has its center at (0,0) and a radius of 4.
Point N is at (3, square root of 7).


Plz help! I'll give Brainliest!!

Answers

Given:

Circle K has its center at (0,0) and a radius of 4.

Point N is at [tex](3,\sqrt{7})[/tex].

To find:

To check whether the point N lies on the circle or not. Then find the other point using symmetry.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]       ...(i)

where, (h,k) is center and r is radius.

Circle K has its center at (0,0) and a radius of 4.  Putting h=0, k=0 and r= 4 in (i), to get the equation of circle K.

[tex](x-0)^2+(y-0)^2=4^2[/tex]

[tex]x^2+y^2=16[/tex]       ...(ii)

To check the point [tex]N(3,\sqrt{7})[/tex], put x=3 and [tex]y=\sqrt{7}[/tex] in (ii).

[tex](3)^2+(\sqrt{7})^2=16[/tex]

[tex]9+7=16[/tex]  

[tex]16=16[/tex]  

This statement is true. So. option [tex]N(3,\sqrt{7})[/tex] lies on the circle K.

According to the symmetry about the origin, if (x,y) lies on the graph then (-x,-y) also lies on that graph.

Since the center of the circle is origin, therefore, it is symmetrical about the origin.

Thus, point [tex]P(-3,-\sqrt{7})[/tex] must be on the circle K.

Therefore, the another point on the circle K is [tex]P(-3,-\sqrt{7})[/tex].

the duration of a flash from a camera is timed at 0.004 seconds accurate to 1 / 1000 of a second calculate the upper and lower bounds for the duration of the flash using in quality

Answers

Answer:

0.0035 ≤ x ≤ 0.0045

Step-by-step explanation:

Given that:

The error = 1/1000 = 0.001 / 2 = 0.0005 s

Hence, 0.004 ± Error

0.004 ± 0.0005

Lower boundary = (0.004 - 0.001) = 0.0035

Upper boundary = (0.004 + 0.001) = 0.0045

0.0035 ≤ x ≤ 0.0045

A large corporation gave an assessment to its candidates for supervisory positions. The candidates were sorted into successful and unsuccessful groups based on whether they passed the assessment. The data is summarized in the table shown.


Of the candidates not selected for supervisory positions, how many were successful on the assessment


86



128



214



300

Answers

Answer:

214.

Step-by-step explanation:

According to the table, The number of people that were successful (The row that follows the word "Successful") and not selected (The Column that follows the words "Not selected") were 214 of the candidates.

To find the answer to this question, you have to find where the Row labeled "Successful" and Column labeled "Not Selected" intersect.

I hope this helped!

Answer:

214

Step-by-step explanation:

Determine whether GB is parallel to KA. Justify why or why not.

Answers

Answer:

Yes, GB is parallel to KA, and so are these lines parallel to each other.    I   I

Step-by-step explanation:

There are the same distance away from each other at any given point on the segments/lines.

Answer:

GB is parallel to KA

Step-by-step explanation:

If a line intersects two lines of a triangle, and creates a similar triangle, then the intersection line is parallel to the third side.

Jorden wanted to leave a 15% tip on a $48.00 bill. What amount should he leave?

Answers

Answer:

7.20

Step-by-step explanation:

15% of 48 = 7.20

Answer:

Jordan should leave $7.20 tip

Step-by-step explanation:

%15 off of $48.00 is $40.80; $7.20 + $40.80 = $48.00

✧brainliest appreciated✧

Is the following conditional true?
If a number is divisible by 2, then it is divisible by 4.

Answers

No the conditional is not true. The converse of the conditional would be true. If a number is divisible by 2, it wouldn’t necessarily be divisible by 4, but if a number is divisible by 4, it’s divisible by 2.

Round or fraction form round all the WAY!

Answers

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

It takes 91 pounds of seed to completely plant a 10-acre field. How many acres can be planted per pound of seed?

Answers

Answer:

[tex]0.109\ \text{acres per pound}[/tex]

Step-by-step explanation:

Given that,

It takes 91 pounds of seed to completely plant a 10-acre field.

We need to find how many acres can be planted per pound of seed. Let it is x. It can be calculated by dividing acres to pounds per seeds.

[tex]x=\dfrac{10}{91}\\\\=0.109\ \text{acres per pound}[/tex]

So, the required answer is [tex]0.109\ \text{acres per pound}[/tex].

A cube has a volume of 64 cubic meters what is the length of each edge

Answers

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

4 = s

The length of each side is 4 m

Answer: 4 cubic meters

Step-by-step explanation:

The volume of a cube = a³

4³ = 64

So the length of each length has to be 4 cubic meters.

Helllllllllppppppppppppppppppp

Answers

Answer:

A. 12cm

Step-by-step explanation:

I need help with this please

Answers

Answer: D

Step-by-step explanation:

Domain is x and Range is y

Select the correct answer from each drop-down menu.

During Britain's war with France in the 1800s, the British interfered with US trade by 1______________________. The British also raided US merchant ships and forced US sailors to work in the British navy. 2_____________________introduced the Embargo Act to make the British respect US rights, but his efforts failed. As Britain continued the practice of impressment, tensions between the United States and Britain continued to rise. Following the 3_________________

Answers

Answer:

I think it's this one- blocking U.S. ships from entering European ports 2. Thomas Jefferson 3. Battle of Tippacanoe

don't hate me if it's not.

please help, will give 10 points.

Answers

Answer:

length is 770 width is 410

Step-by-step explanation:

250% of a number is the same as increasing the number by what percent?

Answers

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

pls help U WILL BE BRAINLISTED ​

Answers

Answer:

C.)

Step-by-step explanation:

You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps

Good morning can y’all help me

Answers

Answer:

rate of change

Step-by-step explanation:

Answer:

Good Morning the answer is rate of change

Step-by-step explanation:

Might give you Brainliest is you step by step explain how much you get the answer

Answers

Answer:

60

Step-by-step explanation:

There were 160 votes in total, and we need to figure out how much is 3/8 of it. Therefore, we need to find (3/8)*(160) (of is another word for multiply). The easiest method is to find 1/8 of 160 which is 20, and then multiply it by three to get 60, which is your answer!

I hope this helped, please give brainliest if this is correct! Thank you!

Trevor measured the town library and made a scale drawing. In real life, the parking lot is 75 meters long. It is 135 centimeters long in the drawing. What scale did Trevor use? 9 centimeters : meters

Answers

Answer: [tex]9\ cm\equiv 5\ m[/tex]

Step-by-step explanation:

Given

The actual length of the parking lot is 75 m

length in the drawing is 135 cm

Here, 75 m is equivalent to 135 cm

Using unitary method

[tex]75\ m\equiv 135\ cm[/tex]

[tex]15\ m\equiv 27\ cm[/tex]

[tex]9\ cm\equiv \frac{15}{3}=5\ \text{m}[/tex]

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

x=5

Step-by-step explanation:

15-3x=0

15-3*5=0

15-15=0

x is 5 because 15 - 3(5) is 0

The sum of the measures of angle A and angle B is 90 degrees. The measure of angle A is (5x + 10) The measure of angle B is 3x degrees

Answers

Answer:

m<A is 60 degrees

m<B is 30 degrees

Step-by-step explanation:

As the problem says, the sum of m<A and m<B=90 degrees (m<A+m<B=90). The given measures are (5x+10) for <A and 3x for <B

we can substitute (5x+10) and 3x as <A and <B into the equation

so:

5x+10+3x=90

Combine like terms

8x+10=90

subtract 10 from both sides

8x=80

divide by 8

x=10

Now substitute as x

m<A: (5*10+10)=50+10=60 degrees

m<B: (3*10)=30 degrees

Hope this helps!

Select all of the equations that have graphs with the same y-intercept (starting amount).

Answers

Answer: y=3x-8, y=5x-8, and y=2x-8

Step-by-step explanation:

These equations are all lines in slope-intercept form (y=mx+b where b is the y-intercept). y=3x-8, y=5x-8, and y=2x-8 all have -8 as the b value. Therefore, these equations have the same y-intercept.

Before a school election, a sample of voters gave Karim 28 votes, Marisol 41, and Richard 11. Based on these results, predict the number of votes for Karim if 1600 vote.

Answers

Answer:

560 votes

Step-by-step explanation:

Given that :

Sample votes :

Karim 28 votes ;Marisol 41 ; and Richard 11

Total sample votes = 28 + 41 + 11 = 80

Percentage vote obtained by Karim :

(28 / 80) * 100%

0.35 * 100%

35% of sample votes

Prediction if votes were 1600;

35% of 1600

0.35 * 1600

= 560 votes

(GIVING BRAINLIEST!!!)

Which power was granted to the president by the Constitution?

A) Can serve as a Supreme Court judge
B) Can draft laws for all states
C) Can appoint state leaders
D) Can veto laws

Answers

Answer:

It should be either B or D

Step-by-step explanation:

"President can carry out laws" Please read the information in the lesson instead of posting the question online.

Answer: the anser is B

Step-by-step explanation:

TOPIC : Composition of Functions

need help plz look in the pic answer all question

Will give Brainliest and 25 points

Answers

Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

39. The ratio of new houses to antique houses in a village is 4:5. If there are
12 new houses, how many antique houses are there?​

Answers

Answer: 15 antique houses

Step-by-step explanation:

New houses : Antique houses

                  4 : 5

                 12 : ?

12 ÷ 4 = 3

Multiply 5 by 3

5 × 3 = 15

12 : 15

There are 15 antique houses.

(20.8). (9.16)
what is the slope

Answers

Answer:

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Need help please for extra credit for my class

Answers

I thinks the scale factor is a

What is the value of m in the equation 2m - (m + 1) = 0?

Answers

the correct answer is M= 1

25 POINTS. Radar used microwaved yo check the speed of cars. If a speed of the microwaves is 2 000 000 m/ s and the wavelength is 0.0345m calculate the frequency.

Answers

Answer: [tex]5.79\times 10^{7}\ \text{Hz}[/tex]

Step-by-step explanation:

Given

Speed of radar wave [tex]v=2\times10^{6}\ m/s[/tex]

the wavelength of radar wave [tex]\lambda =0.0345\ m[/tex]

We know, [tex]velocity=frequency\times wavelength[/tex]

[tex]frequency=\dfrac{\text{velocity}}{\text{wavelength}}[/tex]

[tex]frequency=\dfrac{2\times10^6}{3.45\times10^{-2}}[/tex]

[tex]frequency=5.797\times 10^{7}\ Hz[/tex]

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