Write the equation of the line that is perpendicular to y = 2x + 17 and contains the point (8-1).​

Answers

Answer 1

Answer:

y= -1/2x + 3

Step-by-step explanation:

A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line

so now, plug in the point (8, -1) into the point-slope formula

y-y1=m(x-x1)

y1= -1

x1= 8

m= -1/2

So,

y- -1= -1/2(x-8)

y+1=-1/2x + 4

Subtract 1 from both sides

y=-1/2x+3


Related Questions

one third of a number is 6

Answers

Answer:

2

Step-by-step explanation:

What number is square and a cube.
E.g.
2²=4
3³=9
What number has a cube root AND a square root??

Answers

Answer:

2²=4 is square root and 3³=9 is cube root

Step-by-step explanation:

because 3×3×3=3³and 2×2=2²

64:
4x4x4 = 64
8x8 = 64

Can someone help me with this?
⬇️
-2(10 + x) = 4​

Answers

Answer:

x = -12

Step-by-step explanation:

-2(10 + x) = 4​

Divide each side by -2

-2(10 + x) / -2  = 4/-2

(10 + x) = -2​

Subtract 10 from each side

10+x-10 = -2-10

x = -12

Response:

The solution to this equation is: x = -12

What is the first degree equation?

First degree equation is an equality between members where we find at least one variable.

How to solve this equation?

We have the equation:

[tex]\sf -2(10+x)=4[/tex]

First, we must apply the distributive property.

[tex]\sf -20-2x=4[/tex]

Now we move the independent term to the second degree.

[tex]\sf -2x=4+20[/tex]

We add similar terms.

[tex]\sf -2x=24[/tex]

We isolated the term "x".

[tex]\sf x=\dfrac{24}{-2}[/tex]

Finally, we carry out the division. Discovering, in this way, the solution.

[tex]\boxed{\boxed{\sf x=-12}}[/tex]

Which property of multiplication is shown?

g · (h · j) = (g · h) · j

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Associative Property

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

The associative property would allow us to group numbers in any combination without changing the value of the product.In other words, the order of how three or more numbers are multiplied would not matter.

⸻⸻⸻⸻

[tex]\boxed{\text{Example:}}\\\\3*(4*5) = (3*4)*5\\----------------\\\rightarrow 3 * (20) = (12) * 5\\\\\rightarrow \boxed{60=60}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the value of x?
26°

O
x
= [?]

Answers

Answer: x = 154°

Step-by-step explanation:

In this tangents are formed

So the two unknown opposite angles at the curves will be 90° each.

So using angle sum property of a quadilateral in which all angles adds upto 360°

We get x as

90+90+26+x = 360

206+x = 360

x = 360 - 206

x = 154

please click thanks and mark brainliest if you like :)

Arun has 25 chocolates with him. He had given 19 to his friends. What fraction of chocolates are with him?

Answers

25-19=6
6/25 of the chocolates
this is very easy, he has he has a remainder 6 chocolates

7. PLEASE HELP ME
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A= 27x -x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary.

A. width = 13.5 ft; area = 182.3 ft2

B. width = 13.5 ft; area = 546.8 ft2

C. width = 27 ft; area = 391.5 ft2

D. width = 27 ft; area = 182.3 ft2

Answers

Answer:

A. width = 13.5 ft; area = 182.3 ft2

Step-by-step explanation:

Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x – x2, where x = width, gives you the. Answer: The width of the dog pen is 13.5 ft and the area is 182.3 square feet.

A square has the same area as a rectangle whose
longer side is 2 times the length of its shorter
side. If the perimeter of the rectangle is 24, what
is the perimeter of the square?

A) 8 √2
B)16 √2
C)32 √2
D)32

Answers

Answer:

C) 32 * 2**1/2

Step-by-step explanation:

For rectangle P = L + W = 24 but L = 2W so

2W + W = 24

3W = 24

W = 8 and L = 2W = 16

A = L * W = 16 * 8 = 128

SO for the square with the same area

A = L * L = 128

L**2 = 128

L = 8 * 2**1/2

P = 4L = 32 * 2**1/2

HELP, round to the nearest penny.
$11,579.9998

Answers

Answer:

11,580.00

Step-by-step explanation:

So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00

Hope this helps!!! Have a good rest of your day! :)

Evaluate the line integral 2 + x2y ds where c is the upper half of the circle x2 + y2 = 1.

Answers

Parameterize C by

r(t) = 〈x(t), y(t)〉 = 〈cos(t), sin(t)〉

with 0 ≤ t ≤ π. Then the line integral is

[tex]\displaystyle \int_C (2+x^2y)\,\mathrm ds = \int_0^\pi (2+\cos^2(t)\sin(t))\left\|\mathbf r'(t)\right\|\,\mathrm dt \\\\ = \int_0^\pi (2+\cos^2(t)\sin(t)) \,\mathrm dt = \boxed{\frac23+2\pi}[/tex]

Match the part of the circle to its correct name.

Answers

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Explain the process due to which rain falls ? Class 4 - EVS​

Answers

Answer:

As you may already know, water drops that fall from the cloud are considered "rain".

The Sun's heat turns the moisture or water from leaves, plants, rivers, lakes, and oceans - and turns it into gas or also called, vapor. This water vapor then turns into gas and disappears into the air. When it gets mixed with the air, it cools down. When it cools down, it changes into small water drops, which then form a cloud. These small water drops join together with other water drops to create larger and bigger water drops.

You may know this now because this is the easiest part. What happens when something gets heavy or is over-filled? It falls down, right?

So, the large drops from water fall down as they get too heavy for the cloud to carry. These big droplets falling down on us are called Rain.

I have 4 more quarters than dimes and 3 less pennies than dimes. What is the value of my coins, in cents

Answers

Answer:

There are infinite answers

Step-by-step explanation:

I need help right now ASAP!!! Please help me Please

Answers

Answer:

v = 6

u = 6×sqrt(2)

Step-by-step explanation:

since the "side angles" are the same, it is an isosceles triangle. that means both sides are equally long.

so, v = 6

for u (the baseline) we use Pythagoras :

c² = a² + b²

u² = 6² + 6² = 36 + 36 = 72

u = sqrt(72) = sqrt(36×2) = 6×sqrt(2)

Answer:

v = 6, u = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This is a 45- 45- 90 triangle with ratio of sides 1 : 1 : [tex]\sqrt{2}[/tex]

That is the legs are equal and the hypotenuse is [tex]\sqrt{2}[/tex] × leg

Then

v = 6 and u = 6[tex]\sqrt{2}[/tex]

please please help thank you so much

Answers

Answer:

Nope

Step-by-step explanation:

y = 6x - 2

(1, 2)

2 = 6(1) - 2

2 = 6 - 2

2 = 4

(1, 2) isn’t on the line

1.
Determine whether the matrices are inverses.

Answers

Answer:

No ... A* B=

-1 20    

0 -1      

which is not

is not   1   0

            0 1

Step-by-step explanation:

10 1  0 1

-1 0  -1 10

   

   

   

-1 20    

0 -1    

Answer:

Hello,

the matrices are not inverses

Step-by-step explanation:

[tex]\begin{bmatrix}10&1\\-1&10\end{bmatrix}*\begin{bmatrix}0&1\\-1&10\end{bmatrix}\\\\\\=\begin{bmatrix}10*0+1*1&10*1+1*10\\-1*0+0*(-1)&-1*1+0*10\end{bmatrix}\\\\\\=\begin{bmatrix}1&20\\0&-1\end{bmatrix}\neq \begin{bmatrix}1&0\\0&1\end{bmatrix}\\[/tex]

16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15

Answers

Answer:

the fourth option : 5x - 3y = 15

Step-by-step explanation:

the slope of the original line is given by the coordinate differences between the 2 points on the line.

remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.

so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.

therefore, the slope is -3/5.

the slope of a perpendicular line simply switched x and y. and the sign of the slope.

therefore the slope of the perpendicular line is 5/3.

and the line equation is

y = (5/3)x + c

to get c we need the point on the line (3, 0).

0 = (5/3)×3 + c = 5 + c

c = -5

y = (5/3)x - 5

3y = 5x - 15

3y - 5x = -15 or (after multiplying both sides by -1)

5x - 3y = 15

If (5^(k-1))+(5^(k+1)) = m, what is 2*5^k in terms of m?


If [tex]5^k^-^1+5^k^-^1=m[/tex], what is [tex]2*5^k[/tex] in terms of m?

A) 5m

B) 5m÷2

C) 5m÷13

D) 5m÷26

Answers

Answer:

5m

Step-by-step explanation:

5^(k-1)+5^(k-1)=m

Going to combine like terms on left:

2×5^(k-1)=m

Law of exponents applied:

2×5^k×5^(-1)=m

Reciprocal:

2×5^k×1/5=m

Multiply 5 on both sides to obtain the requested:

2×5^k=5m

Amanda ordered a ham and salad roll for
$3.50, an apple muffin for $1.60 and an
orange juice for $1.10. How much change did
she receive from 10.00?

Answers

Answer:

2.80 cents

Step-by-step explanation:

$3.50

$1.60

$1.10

-------+

 7.20              10.00- 7.20 = 2.80

Answer: $3.8

Explanation:

Cost of Ham and Salad Roll = $3.50

Apple Muffin = $1.60

Orange Juice = $1.10

Total cost = $6.2

Total she received back = 10-6.2

= $3.8

Therefore she received back $3.8

Must click thanks and mark brainliest

f(×)=3×2 - 2 and g(×) = 2×+4 , find (f-g)(×)

Answers

Answer:

3x^2-2x-6

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^2-2-2x-4=3x^2-2x-6

How are a desert and a tundra similar?

A. They both have high levels of precipitation.
B. They have many trees and a lot of vegetation.
C. They have high average temperatures.
D. They have low humidity and low levels of precipitation.

Answers

Answer:

D is right option

Step-by-step explanation:

Similarities:

Both the biomes experience less precipitation due to this they have a less diversity of flora and fauna as compared to other biomes like savanna, grasslands, chaparral etc. Let us see how they differ from each other!

Low rain fall _ annual rainfal of lessthan 20cm in deserts, 15-20cm in tundra

Minimal life_ only small shurbs can survive in both kind of environments

Poor drainage.. In deserts, though sandy soil may seem much porous, these are most flood prone areas of world. The tundra is characterised by permafrost soils ie, under the thin layer of soil, a thick ice sheet is present and hence is no seepage.

High range of temperatures: In tundra, the maximum temperatures are recorded in summer (abt 10^C) and minimum during winter(-20 to -30^C). While, in desert too, the temperature range is high but diurnally ie, nights are too cold and day time is scorching.

What is 30% of R210 and show your working out.​

Answers

[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]

Step-by-step explanation:

[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]

30% of 210 is 63.

Translate the phrase into an algebraic expression.
The product of 9 and y

Answers

Answer:9*y or 9y

Step-by-step explanation:

CAN ANYONE PLEASE EXPLAIN TO ME WHAT ON EARTH THIS MEANS

Answers

the work that you're required to do has to contain all three requirements in order to earn the maximum number of points, and it also has to be creative (meaning no copying other people's work)

Complete the transformations below. Then enter the final coordinates of the figure.

Answers

Nnbhu is there anyway we could go with him y

How would you define a pair of parallel lines?

Answers

Answer:

We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.

 

Hope this helps <3

Please help me solve this, urs really important for me. Thank you

Answers

Answer:

24 pieces

Step-by-step explanation:

Adam

1/2's means 2 pieces each  so 8 *2 = 16 pieces

Briana

1/4 means 4 pieces each   8*4 = 32 pieces

Carlos

1/9 so 9 pieces each  8*9 = 72 pieces

Carlos - ( adam+ briana)

72 - ( 16+32)

72 -(48)24

Can you tell I suck at math? ​

Answers

Answer:

B). 34.85°

Step-by-step explanation:

From trigonometric ratios:

[tex] \sin(C) = \frac{opposite}{hypotenuse} [/tex]

Opposite = 16

Hypotenuse = 28

[tex] \sin(C) = \frac{16}{28} \\ \\ C = { \sin}^{ - 1} ( \frac{16}{28} ) \\ \\ C = 34.85 \degree[/tex]

12^-2 in the simplest form

Answers

Because there's a negative sign, it suggests that you should inverse the expression. After inverting it, the power will be positive, and you can square like normal.

96 is 30% of what number?

Answers

Step-by-step explanation:

If we substitue "what number" in the question "96 is 30 percent of what number?" with 320, we get this sentence: 96 is 30 percent of 320. Since this statement is true, we know that our answer is correct.

Other Questions
Please help explanation if possible If sin= 7/25 , find the values of cos and tan 2. The vector sums of and the Ark witar must se rue our the directions and maintedes at an Bit CB? What meast le tue about the directions and magnitudes and it cor What do you hope to accomplish this year? Add suitable question tag. Rohan had had a great time there, Help me fast plz plz help FOR BRAINLIEST ANSWER THIS:The area of a triangle is 12 square meters . The base is 2 meters longer than the height Find the height of the triangle . A shopkeeper marks the price of an article 25% above the cost price. Then he allows a discount of 10% of the marked price. Find the profit percentage. The British plans for the Middle East after World War One? Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft long. How much trim does he have total? plz help me asapi will give brainliest plzzz plzzi need helpp define a ploynomial with real coeffients What is one goal you have for the schoolyear? What is something you hope toaccomplish? Yet another calculus question :)Given [tex]y = x^3 - 2x[/tex] for [tex]x \geq 0[/tex], find the equation of the tangent line to y where the absolute value of the slope is minimized. I have tried taking both the first and second derivatives and setting them equal to 0 and using that as the answer, but they're incorrect. Could somebody please explain how to complete the question correctly? Thank you so much! Importances of bacteria to humans List 3 similarities of a virus and bacteria and give evidence from the text If I Have 100 Dollars And i go to the bank and i ask for 30 more and use that money on a store and i have 12 Dollars Left How Much Did the Thing I Bought Cost/ How Much Money did i spend? Which is an example of the study of physics and the human body?A. determining the optimum resting heart rateB. testing the impact of a car crash on the bodyC. calculating how to beat an existing sports recordD. training warehouse workers on how to properly move boxes the area of a parallelogram is 48cm.if the two adjacent sides are 8cm and 6cm, find the length of its diagonal . What are the effect caused due to conflict ?