20 points.


Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)

Answers

Answer 1

Answer:

-9 6 that is because the line has to be perpenducular to the other line

Answer 2

Step-by-step explanation:

Slope of line between points (-4, 6) and (5, -3)

=> Rise / Run

=> [6 - (-3)] / [(-4) - 5]

= 9 / (-9)

= -1.

Thus slope of perpendicular line

= -1 / (-1) = 1.

We have y = x + c.

When x = 1, y = -7.

=> (-7) = (1) + c, c = -8.

Hence y = x - 8.


Related Questions

Solve the system of equations using elimination, or write “no solutions” or “infinite solutions” where applicable

4x-y = 7

Answers

Answer:

no solutions

Step-by-step explanation:

i guess   im

which expression are equivalent to this exponential expression

Answers

Answer:To create an equivalent expression, you simply need to move the base and exponent to the other side of the fraction line and change the exponent to positive: 1/(24)

Step-by-step explanation:

Find the locus of a point such that the sum of its distance from the point ( 0 , 2 ) and ( 0 , -2 ) is 6.
~Thanks in advance ! ​

Answers

Answer:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Step-by-step explanation:

We want to find the locus of a point such that the sum of the distance from any point P on the locus to (0, 2) and (0, -2) is 6.

First, we will need the distance formula, given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let the point on the locus be P(x, y).

So, the distance from P to (0, 2) will be:

[tex]\begin{aligned} d_1&=\sqrt{(x-0)^2+(y-2)^2}\\\\ &=\sqrt{x^2+(y-2)^2}\end{aligned}[/tex]

And, the distance from P to (0, -2) will be:

[tex]\displaystyle \begin{aligned} d_2&=\sqrt{(x-0)^2+(y-(-2))^2}\\\\ &=\sqrt{x^2+(y+2)^2}\end{aligned}[/tex]

So sum of the two distances must be 6. Therefore:

[tex]d_1+d_2=6[/tex]

Now, by substitution:

[tex](\sqrt{x^2+(y-2)^2})+(\sqrt{x^2+(y+2)^2})=6[/tex]

Simplify. We can subtract the second term from the left:

[tex]\sqrt{x^2+(y-2)^2}=6-\sqrt{x^2+(y+2)^2}[/tex]

Square both sides:

[tex](x^2+(y-2)^2)=36-12\sqrt{x^2+(y+2)^2}+(x^2+(y+2)^2)[/tex]

We can cancel the x² terms and continue squaring:

[tex]y^2-4y+4=36-12\sqrt{x^2+(y+2)^2}+y^2+4y+4[/tex]

We can cancel the y² and 4 from both sides. We can also subtract 4y from both sides. This leaves us with:

[tex]-8y=36-12\sqrt{x^2+(y+2)^2}[/tex]

We can divide both sides by -4:

[tex]2y=-9+3\sqrt{x^2+(y+2)^2}[/tex]

Adding 9 to both sides yields:

[tex]2y+9=3\sqrt{x^2+(y+2)^2}[/tex]

And, we will square both sides one final time.

[tex]4y^2+36y+81=9(x^2+(y^2+4y+4))[/tex]

Distribute:

[tex]4y^2+36y+81=9x^2+9y^2+36y+36[/tex]

The 36y will cancel. So:

[tex]4y^2+81=9x^2+9y^2+36[/tex]

Subtracting 4y² and 36 from both sides yields:

[tex]9x^2+5y^2=45[/tex]

And dividing both sides by 45 produces:

[tex]\displaystyle \frac{x^2}{5}+\frac{y^2}{9}=1[/tex]

Therefore, the equation for the locus of a point such that the sum of its distance to (0, 2) and (0, -2) is 6 is given by a vertical ellipse with a major axis length of 3 and a minor axis length of √5, centered on the origin.

Can someone help please

Answers

Answer:

B

Step-by-step explanation:


Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3

Answers

.........The answer is B

Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.

Answers

Answer:

I think the answer is 9/2

9, 3, 1, 7, 1, 44
Mean ??
Mode ??
Median ??

Answers

Answer:

Step-by-step explanation:

mean:[tex]\frac{65}{6}[/tex]

mode:1

median:5

Answer:

Mean: 10.83

Mode: 1

Median: 5

Step-by-step explanation:

I did mean as a decimal but you might have to change that if your teacher doesn't prefer it as decimals

the measure of the angles in a heptagon measure 95 107 132 138 145 and 158 what is the measure of the 7th angle

Answers

Answer:

ANSWER:123

Step-by-step  its  very simple its puttin x+11 is how u get ur answer by adding the numbers close to that one angle

The measure of the seventh angle in the heptagon is 125 degrees.

What is Polygon?

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

We are given the measures of six angles in the heptagon, which are:

95, 107, 132, 138, 145, and 158 degrees

Sum of angles in Heptagon is 900 degrees.

To find the measure of the seventh angle, we can subtract the sum of the six known angles from the sum of all the angles in the heptagon:

Measure of the seventh angle = Sum of angles - Sum of known angles

Measure of the seventh angle = 900 degrees - (95 + 107 + 132 + 138 + 145 + 158) degrees

Measure of the seventh angle = 900 degrees - 775 degrees

Measure of the seventh angle = 125 degrees

Therefore, the measure of the seventh angle in the heptagon is 125 degrees.

To learn more on Polygons click:

https://brainly.com/question/28276384

#SPJ2

Last Friday Kali had $22.62. Over the weekend she received some money for cleaning the attic. She now has $33.99. How much money did she receive?

Answers

The answer is $11.37.

To find the answer, all you need to do is subtract 22.62 from 33.99. Remember that you need to line up the decimals, or else you will not get the right answer.

33.99
22.62
———
11.37

Write each percent as a fraction in simplest form.
12%

Answers

12% as a fraction is 12/100 but it’s simplest form is 3/25

x-3y=7
2х-6у=12
Solve the following systems

Answers

Answer:

Step-by-step explanation:

this system doesnt have any solutions

if you multiply the first equation by 2 you will get

2x-6y=14

second equation is

2x-6y=12

the result will -12=14

no solutions


Work out the percentage change to 2 decimal places when a price of £110 is
decreased to £98.

Answers

Answer:

10.91% decrease

Step-by-step explanation:

98/110 x 100 = 89.090909

100 - 89.0909 = 10.909090 to 2dp is 10.91%

miriam's house is 232 feet above the sea level, and silvia's house is 29 feet above sea level. about how many time's higher than sea level is miriam's house than silvia's?

Answers

Answer:

Step-by-step explanation:

about 9 because

A parachutist's speed during a free fall reaches 135 miles per hour. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 5 seconds of free fall? In your computations, use the fact that I mile is equal to 5280 feet. Do not round your answers.​

Answers

Answer:

198 ft/s speed

99 ft distance

Step-by-step explanation:

Answer:

7.33333ft

Step-by-step explanation:

Stella wnats to buy an atlas that costs 510, a novel that costs $8, and a comc that costs $6. She saved 516 from her pocket money. How much
more money does she need to save? What equation is correct?

Answers

Answer:

where are the equations

Step-by-step explanation:

m is how much more she needs to save

510+8+6=516+m

m=8

The blue dot is at what value on the number line?

Answers

The blue dot is at 4

Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.

Answers

Because December is really cold

Answer:

Step-by-step explanation:

4.3 °F > 4 1/4 °F

if 10% of a group of children are girls, what is the ratio of girls to boys​

Answers

Answer:

9 boys to 1 girl

Step-by-step explanation:

Find the surface area of the cuboid shown below

Answers

Answer:

Surface area of cuboid = 352 cm

Step-by-step explanation:

Given that:

Height of cuboid = 8 cm

Length of cuboid = 12 cm

Width of cuboid = 4 cm

Surface area = 2lw + 2lh + 2hw

Putting all the values;

Surface area = 2*12*4 + 2*12*8 + 2*8*4

Surface area = 96 + 192 + 64

Surface area = 352 cm

Hence,

Surface area of cuboid = 352 cm

Plz help this one is the last one of the day plz help

Answers

we know 20% is 15
and now we find 80%

since 20% x 4 = 80%, we can multiply 15 by 4 to get 80% of 75

15 x 4 = 60

80% of 75 = 60

Find the angle of this sector.
6 cm
NEED ASAP
5 cm

Answers

Answer:

x ≈ 68.8°

Step-by-step explanation:

The length of the arc of a sector is calculated as

arc = circumference × fraction of circle , that is

6 = 2πr × [tex]\frac{x}{360}[/tex] = 2π × 5 × [tex]\frac{x}{360}[/tex]  = 10π × [tex]\frac{x}{360}[/tex] ( multiply both sides by 360 )

2160 = 10πx ( divide both sides by 10π )

68.7549... = x , that is

x ≈ 68.8° ( to 1 dec. place )

Which graph represents the function f(x)=-|x|-2?

Answers

Answer:

ind the absolute value vertex. In this case, the vertex for y=−|x|−2 is (0,−2).

(0,−2)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)

Set-Builder Notation:  {x|x ∈ R}

For each x value, there is one y value. Select few x values from the domain. It would be more useful to select the values so that they are around the x value of the absolute value vertex.

 x     y

−2   −4

−1    −3

 0   −2

 1    −3

 2   −4

Step-by-step explanation:

Answer:

The answer is C.

I hope this helps you!

What is the value of 20+6•5/-2

Answers

Answer:

The answer is 25

Step-by-step explanation:

6•5=30

30+20=50

50/-2=25

A store purchases baseball hats from two different manufacturers in 3 different colors, summarized
below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places.
Black Blue Red Total
Manufacturer A 23 21 29 73
Manufacturer B 27 17 10 54
Total 50 38 39 127
х
a) Find the probability that the hat was was Black or was from Manufacturer A. 0.3150
O 0.78740157480315
b) Find P(Red).
c) Find P(Manufacturer B and Red),
d) Find P(Manufacturer B or Red).

Answers

Answer:

See below

Step-by-step explanation:

a)

P(A or Black) = (73 + 27)/127 = 100/127 =  0.7874015748

b)  

P(Red) = red/total = 39/127 = 0.30708661417

c)

P(Manufacturer B and Red) = (B and red)/total = 10/ 127 = 0.0787401575

d)

P(Manufacturer B or Red) = (B or red)/total = (54 + 29)/127 = 0.65354330708

Helppppp please. I am stumped..

Answers

Answer:

D

Step-by-step explanation:

w = width

length = w + 0.6

A = l · w

A = w (w + 0.6)

A = w² +.6w

Answer:

D

Step-by-step explanation:

w = width

l = length = w + 0.6

Area = ( l ) * ( w )

Area = ( w + 0.6 ) ( w )

Area = w^2 + 0.6w

Solve.
3/5x - 7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55

Answers

Answer:

(C) x=50

Step-by-step explanation:

[tex]\frac{3}{5 }x -7=23[/tex]

[tex]\frac{3x}{5} -7=23[/tex]

[tex]\frac{3x}{5} -7+7=23+7[/tex]

[tex]\frac{3x}{5}=30[/tex]

[tex]3x=30* 5[/tex]

[tex]3x=150[/tex]

[tex]x=50[/tex]

Answer:

(C) X = 50

Step-by-step explanation:

(3/5)*x-7 = 23 // - 23

(3/5)*x-23-7 = 0

3/5*x-30 = 0 // + 30

3/5*x = 30 // : 3/5

x = 30/3/5

x = 50  (Sorry if it's wrong)

Seth is two-thirds as tall as his father. If Seth is 54 inches tall, how tall is his father?

Answers

Answer:

81 inches tall

pls mark me brainliest

What is the price of a $500 tv after a 20% discount?

Answers

It’s going to be 400 dollars, 20percent is 100 dollars

Which inequality represents this situation? The number of students, s, who ride in a bus is less than 30. A. S < 30 B. S > 30 C. S ≥ 30 D. S ≤ 30

Answers

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.[tex]s\geq 30[/tex]

It is false because s<30

D.[tex]s\leq 30[/tex]

It is false because s<30

Option A is true.

Which angles are adjacent to each other?

a) Angle 12 and Angle 7
b) Angle 6 and Angle 9
c) Angle 12 and 9
d) Angle 5 and Angle 11​

Answers

Answer:

(c). Angle 12 and 9

Step-by-step explanation:

Other Questions
Alexs monthly take home pay is $2,500. What is the maximum bad debt payment he can maintain without being in credit overload?A): $250B): $325C): $475D): $500 Can someone please help, I need a sentence with the verb "buckle" which means to give in, collapse. Solve the Equation P + 75 = 100. A person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon. Find the weight of a person on Earth who would weigh 15 pounds of the moon Which statement has a false converse? A If a quadrilateral is a rectangle, then the diagonals of the quadrilateral arecongruent.B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is aparallelogramC if a quadrilateral is a rectangle, then all angles of the quadrilateral are right angles.D If a quadrilateral is a parallelogram, then both pairs of opposite sides of thequadrilateral are congruent. HELP ASAP, BRAINLIEST FOR CORRECT ANSWER!dilations of triangles, look at the attachments! Using an advertising agency is a cost-effective way for a small business to advertise its products or services. a. True b. False please help meh I'm I'm slowlyy from this question TwT send help Advantages and disadvantages of traditional farming Which of the following best describes Ian's mother?A.perfectB.sternC.hot-temperedD.good-natured Select all the correct answers.Janine needs to calculate the value of log , 81Which expressions could she input into her calculator to find this value?In 8112in 81In 12log 81log 12log 81In 12log 12log 81 Write an informative speech on how you will maintain the safety of our food supply? How you Can find the area of a composite figure? Which of the following represents a solution? *2 pointsNaCl (s)HCl (aq)H2O (g)HBr(g) my question is in the attachment Aisha types 3/5 of a paragraph in 2/3 minute. If she continues at the same rate, what fraction of a paragraph can Aisha complete in 1 minute? PLEASE HELP!! WILL MARK BRAINLIESTUse the Internet to list five examples of elements with their properties and five examples of compounds with their properties. In triangle PQR, PQ = 8 cm, QR = 6 cm, and mZPQR = 30.Exactly how long is PR?P8 cm306 cmR Alicia loses her job part way through 2019. Her employer pays her wages of $15,450 up through her date of termination. After that, she received $3,400 of unemployment compensation from the state until she gets a new job for which she is paid wages of $3,000 through year end. Based on this information, Alicias gross income for 2019 is:_________. Which of the following expressions represents 5 less than 3 times the number m? 3m- 5 5m- 3 5-3m 3-5m