Write an equation the describes the line passing through point (1/2, 0) with slope - 1

Answers

Answer 1

Answer:

Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]

Step-by-step explanation:

Equation of the line: [tex]y=mx+b[/tex]

Add in the slope in place of ([tex]m[/tex])

[tex]y=-1x+b[/tex]

Add in the x value of the given point in place of ([tex]x[/tex])

[tex]y=(-1)\frac{1}{2}+b[/tex]

Add in the y value of the given point in place of ([tex]y[/tex])

[tex]0=(-1)\frac{1}{2} + b[/tex]

Solve:

[tex]0=(-1)\frac{1}{2} +b[/tex]

Multiply -1 and [tex]\frac{1}{2}[/tex]

[tex]-1 *\frac{1}{2}=-\frac{1}{2}[/tex]

So,

[tex]0=-\frac{1}{2} +b[/tex]

Now, add [tex]-\frac{1}{2}[/tex] to 0

      [tex]0=-\frac{1}{2} +b[/tex]

     [tex]+\frac{1}{2}[/tex]   [tex]+\frac{1}{2}[/tex]

---------------------------

     [tex]\frac{1}{2} = b[/tex]

Replace ([tex]b[/tex]) with [tex]\frac{1}{2}[/tex]

Your equation is [tex]y = -1x + \frac{1}{2}[/tex] or [tex]y = -1x + .5[/tex]

Hope this helps! Brainliest would be much appreciated! Have a great day! :)


Related Questions

Suppose f(x) = x3. Find the graph of f(x+5)

Answers

Answer:

3x + 15 it seems it would be graph 3

Step-by-step explanation:

f(x+5) = (x+5)3

= 3x + 15

simplify the expression:

Answers

Answer: 7b^4c^3 + 3b^3c^4

Step-by-step explanation:

The ^ means exponent

Answer:

The answer is 7b⁴c³ – 3b³c⁴

Step-by-step explanation:

7b⁴c³ + 6b³c⁴ – 3b³c⁴ = 7b⁴c³ – 3b³c⁴

Thus, The answer is 7b⁴c³ – 3b³c⁴

-TheUnknownScientist 72

A triangle has vertices at (−2, −2), (−2, −5), and (−4, −5). The triangle is translated 2 units to the right and rotated 90° clockwise about the origin. What are the coordinates of its image?
( , ), ( , ), ( , ) → ( , ), ( , ), ( , ),

Answers

Step-by-step explanation:

translated (shifted) 2 units to the right (positive x direction) creates the points

(-2 + 2, -2) = (0, -2)

(-2 + 2, -5) = (0, -5)

(-4 + 2, -5) = (-2, -5)

and now we rotate these points 90° clockwise around the origin.

that means a positive x turns into a negative y, a negative y into a negative x, a negative x into a positive y, and a positive y into a positive x.

and a 0 just trades places.

therefore,

(0, -2) becomes (-2, 0)

(0, -5) becomes (-5, 0)

(-2, -5) becomes (-5, 2)

so, overall

(-2, -2) becomes (-2, 0)

(-2, -5) becomes (-5, 0)

(-4, -5) becomes (-5, 2)

3/4 x 2/9
Answer as fraction

Answers

Answer:

1/6

Step-by-step explanation:

3/4 x 2/9

3*2 = 6

4*9 = 36

6/36 (which can be simplified as 1/6)

Hope this helps!

Mallory began a new job at an amusement park 4 weeks ago. She worked 13
hours during the first week, 22 hours during the second week, 18 hours during
the third week, and 15 hours during the fourth week. Which graph best
represents the total hours Mallory worked over these 4 weeks?

Answers

Answer:

b

Step-by-step explanation:

Answer:

Im pretty sure its the graph on the top right

Step-by-step explanation:

the first 2 weeks she worked the graph went up, the last 2 weeks she worked less time, so the graphs will go down, but since she worked 15 hours on the third week, and 13 hours on the first week, the third weeks point doesn't go below the first weeks starting point. anyways i hope thats correct

9x9x9x9x9 divided by 3

Answers

Answer: 59049/3=19683

Answer:

19683

Step-by-step explanation:

9x9x9x9x9 ÷ 3

59049 ÷ 3

19683

Which lines in this figure are parallel?

Answers

Answer:

A and B.

Step-by-step explanation:

The definition of parallel lines is: "Parallel lines are straight lines that are always the same distance apart from each other. Parallel lines never meet no matter how much they are extended in either direction." So, in conclusion, your answer is: A and B.

Hope this helped!

Answer:

A&B because they are not intersecting.

i really need help please give a simple and plain answer like the exaple in the photo

Answers

Answer:

Hi! To find x (the missing angles of the triangles), remember that the angles in a triangle add up to 180 degrees. This means that for each triangle, you can add the two angles given, then subtract that number from 180 to find x. I'll use Triangle 1 as an example:

81 + 84 = 165

180 - 165 = 15

So for Triangle 1, x is equal to 15.

To classify each triangle by angles, remember that an acute triangle has three angles that each measure less than 90 degrees, a right triangle is a triangle with one 90 degree angle, and an obtuse triangle is a triangle with one angle that is greater than 90 degrees. To classify each triangle by sides, remember that scalene triangles have three sides of unequal length, isosceles triangles have two sides of equal length, and equilateral triangles have three sides of equal length.

Keeping all this in mind, here are your answers:

Triangle 1 - 15 acute scalene

Triangle 2 - 120 obtuse scalene

Triangle 3 - 41 right scalene

Triangle 4 - 104 obtuse isosceles

Triangle 5 - 25 right scalene

Triangle 6 - 64 acute scalene

Triangle 7 - 72 acute scalene

Triangle 8 - 32 obtuse scalene

Triangle 9 - 40 right scalene

I hope this helps you! Have a great day. - Mani :)

A paratrooper bails out of an airplane at altitude 15,000 ft, then falls freely for 30 seconds, then opens a parachute.

Answers

The speed of the parachute is 50ft/s

How to calculate the speed of an object

The formula for calculating speed is expressed as:

Speed  = Distance/Time

Given the following parameters

Distance = 15,000 feet

Time = 30 seconds

Substituting into the formula;

Speed = 1500ft/30s

Speed = 50ft/s

Hence the speed of the parachute is 50ft/s

Learn more on speed here: https://brainly.com/question/4931057

A band that will be the opening act for a concert charges a $500. 00 flat fee as well as 10% of all profits from ticket sales. If the band earns $1,200, how much was made in total ticket sales for the show?.

Answers

Using the profit concept to find the ticket sale, then the money made in ticket sales for the show is $7000.

What is profit?

The money that you gain by selling something.

Given

A band that will be the opening act for a concert charges a $500 flat fee as well as 10% of all profits from ticket sales.

They earned the profit will be

1200 - 500 = 700

They earned a profit is $700.

$700 is 10% of ticket sales. Then the money made in total ticket sales for the show will be

[tex]\rm Ticket\ Sale = \dfrac{700}{0.1}\\\\Ticket\ Sale = 7000[/tex]

The money made in total ticket sales for the show is $7000.

More about the profit link is given below.

https://brainly.com/question/1494270

Question shown with image attached.

Answers

Answer:

x = 109°

Step-by-step explanation:

(x° - 38°) + x + 90° + 90° = 360°

(The sum of the interior angles of any quadrilateral is 360°)

[tex](x - 38) + x + 90 + 90 = 360 \\ x - 38+ x + 180 = 360 \\ x + x + 180 - 38 = 360 \\ 2x + 142 = 360 \\ 2x = 360 - 142 \\ 2x = 218 \\ \frac{2x}{2} = \frac{218}{2} \\ x = 109 \\ [/tex]

The total angle measures a quadrilateral has is 360 degrees and in the problem, we are told that two of the angles are both 90 degrees. So thats 180 degrees out of the way and now we have x+(x-38)=180 which is 2x-38=180 then you add 38 to both sides to get rid of the 38 on the left side and then you end up with 2x=218 so you have to divide both sides by 2 to remove the 2 from x and you would get x=109

Help!!! ( this is prob easy for you!!! )

Answers

Answer:

C

Step-by-step explanation:

Both median and mean would decrease

You are ordering pizzas. The pizza cost $18. The sales tax is 6%, and you give a 15% tip. What is the total?

Answers

Answer:

$21.94

Step-by-step explanation:

I'm not sure how many pizzas were ordered, but let's say you just got one large pizza that was $18.

First, the sales tax - 6%

$18 + 6% = $19.08

Then you give a 15% tip.

$19.08 + 15% = $21.94

PLEASE HELP ASAP!! the slope of a line is -2. Two points on the line are (eight, a) and (2, 4). what is the value of a? ​

Answers

Answer:

a=4

Step-by-step explanation:

Acellus:
How many lines can be constructed
perpendicular to AB that pass
through point D?

A. O
B. 1
C. 2

Answers

Answer:

  B.  1

Step-by-step explanation:

There is exactly one (1) line perpendicular to a given line that goes through a given point not on the line.

One line can be constructed.

i need to know 0.3 km in miles.

Answers

The answer is 0.186 mile
0.186 miles Jhhhhhhhhhhhhhhhhhhhhhhhhhhh

Please help with the answer below

Answers

Answer:

[tex]f(x) = \frac{x + 7}{6 - x} \\ \frac{3}{2} = \frac{x + 7}{6 - x} \\ 3(6 - x) = 2(x + 7) \\ 18 - 3x = 2x + 14 \\ - 3x - 2x = 14 - 18 \\ - 5x = - 4 \\ \frac{ - 5x}{ - 5} = \frac{ - 4}{ - 5} \\ x = \frac{4}{5} [/tex]

Find the value of 2x+5
x=4
y=3

Answers

The answer is 13. You substitute the x in 2x+5 with 4, because x=4 here. That would give you 2(4)+5. 2(4) is 8, 8+5 is 13. Hope this helped!
The answer is 13, since you replace the X with 4 (basically 2x = 2 times 4).

PLEASE HELP! AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Answers

Answer:

117°

Step-by-step explanation:

Start by finding the measure of the angle adjacent to the one marked 101 degrees. Since they are a linear pair, they add up to 180 therefore...

101+y=180

Subtract 101 from both sides...

y=79

Now, using the exterior angle theorem (the exterior angle is equivalent to the sum of the two interior angles that are NOT adjacent to the exterior angle), we can set up an equation to find x...

x=38+79

x=117

The value of a machine depreciated each year by 10%of its value at the beginning of that year .If the value of a new machine is GHC 2500,find its value at the end of the third year.​

Answers

Answer:

Heyy

Step-by-step explanation:

Lets Price of article is 100

Dep value after 1 year =100−

100

100×10

= 90

Dep. value after 2 year =90−

100

90×10

=81

Dep. value after 3 years =81−

100

81×15

=68.85

Total Dep. =100−68.85 = 31.15%

If ⅙ of a roll of wallpaper covers ¼ of the wall. How many rolls of paper are needed to cover 4 walls?

Answers

Answer:

if 1/6 of a roll of paper covers 1/4 of a wall, this means that we will need 4/6 of a roll to cover a whole wall, now the question is asking how many rolls will we need to cover 4 walls, we already know that it takes 4/6 to fill one wall so if we add 4/6+4/6+4/6+4/6 we will get 16/6 or 2 4/6

we will need 16/6 or 2 4/6 of rolls of paper to cover 4 walls

Triangle JKL has coordinates J(−2, −3), K(−5, −2), and L(−6, −7). The triangle is reflected across the y-axis. (PLS HELPP)

Answers

Answer:

J ' (2, -3)

K ' (5, -2)

L ' (6, -7)

The diagram is below

=======================================================

Explanation:

The y axis reflection rule you use is [tex](x,y) \to (-x,y)[/tex]

The x coordinate flips in sign, positive to negative or vice versa.

The y coordinate stays the same.

For example, the point J(-2,-3) moves to J ' (2, -3). The same thing happens to the other points as well.

Check out the diagram below.

CAN SOMEONE PLEASE HELP ME!

Answers

Answer:

A) 20 represents the amount of money saved in one month or amount saved per month. This is the slope or rate of change of the function.

B) 50 represents the amount of money already present in the account when she starts saving. This is the y-intercept of the function.

C) It will take 5 weeks for her to save $150

Step-by-step explanation:

A) 20 represents the amount of money saved in one month or amount saved per month. This is the slope or rate of change of the function.

B) 50 represents the amount of money already present in the account when she starts saving. This is the y-intercept of the function.

C) The time to reach $150

150 = 20(w) + 50

20(w) = 150 - 50

20w = 100

w = 100/20

w = 5

It will take 5 weeks

A tree is casting a shadow that is 6.2 meters long. The distance from the end of the shadow to the top of the tree is 7.5 meters. How tall is the tree? Round to the nearest tenth if necessary.

Answers

Answer:

13.7

Step-by-step explanation:

I did a test on this i got it correct

Answer:

4. metres (approx)

Step-by-step explanation:

The given situation can be illustrated as a picture which I have attached to the answer for better understanding.

As you can notice, the situation can be modeled as a right triangle.

Use the Pythagorean theorem to find the value of leg h, as follow:

[tex]h=\sqrt[]{(7.5m)^{2} - (6.2m)^{2}} \\h=\sqrt{56.25m^{2} - 38.44m^{2}}\\h=\sqrt{17.81m^{2} } \\h= 4.2 m[/tex]

Rounding of the answer :  4 meters

Hence, the height of the tree is approximately 4m.

Please mark me as brainliest if you found this helpful.

whats the area??? helppp !!

Answers

Answer:

120

Step-by-step explanation:

the pic was blury but the bigger rectangle seemed to be 10 by 8 so you multiply 10×8=80. the smaller rectangle is 5 by 8 so you multipy 5×8=40. then add 40+80=120

Answer:

120 sq cm

Step-by-step explanation:

An industrial machine produces widgets, but it has a 0.12 defective rate. What is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?
A. 0.0035
B. 0.0043
C. 0.0654
D. 0.0432

Answers

Answer: Hence required probability = 0.004307

Step-by-step explanation:

Given an industrial machine has 0.12 defective rate and to find probability that fewer than 3 defective widgets run of 75 items,

⇒[tex]P(x < 3)=P(x=2)+P(x=1)+P(x=0)[/tex], since P(x=r)=[tex]_nc_r P^rq^n^-^r[/tex]

Here P=0.12, q=1-p, 1-0.12=0.88, n=75

the rest of the answer is explained in the photo below.

HELP!!Jake rewrites the expression 36x4−1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?

Question 7 options:

(6x)4−12

(6x)2−12

(6x)4−14

(6x2)2−12

Answers

Answer:

Answer choice 3

Step-by-step explanation:

A sphere has a radius of 5cm what is the volume of the sphere

Answers

Answer:

[tex]\frac{500}{3}\pi[/tex]

Step-by-step explanation:

The equation for Volume of a Sphere is:

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

We can plug in the given radius into the equation:

[tex]V=\frac{4}{3}\pi5^3=\frac{4}{3}\pi125=\frac{500}{3}\pi[/tex]

Please help me with this

Answers

Answer:

x = 37

Step-by-step explanation:

2x and 74 are vertically opposite angles and are congruent, so

2x = 74 ( divide both sides by 2 )

x = 37

Step-by-step explanation:

To find the value of x, first, the denominators are made equal by taking the L.C.M. of them.

(3x + 2)/7 + (4(x + 1))/5 = 2/3 * (2x + 1) (45x + 30 + 84x + 84)/105 = (140x + 70)/105

Since both the sides of the equation have the same denominator now, they can be cancelled out.

45x + 30 + 84x + 84 = 140x + 70

The equation can be rearranged by shifting all the x terms on one side of the equation and all the constants on the other side of the equation.

140x - 85x - 45x = 84 + 30 - 70

10x = 44

x = 4.4

Therefore, the value of x is 4.4.

You spend 15 on a meal including tax and want to leave a tip that is 20% of the 15 what is the Total cost with the tip

Answers

Answer:

$18.00

Step-by-step explanation:

If the meal is $15.00, 20% of that meal's cost would be $3.00.

$15.00 * .20 = $3.00

Adding the tip to the meal's cost will give you a total cost of $18.00.

~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any more questions! Spread the Love.

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