passes through (1, -1) and (2,0)

Answers

Answer 1

Answer:

y = x - 2

Step-by-step explanation:

1. Find the slope - change in y/change in x

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

Slope is 1

2. Find y-intercept

y = x + b

Substitute a point (2,0)

0 = 2 + b

b = -2

3. Put the equation together

y = x - 2


Related Questions

18. Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft,
and 85 ft. Is the yard an acute, obtuse, or a right triangle? Explain.

Answers

The yard is obtuse!

[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]

Determination of acute angled triangle:-When the square of the longest side is less than the sum of the squares of two shorter sides then the triangle is acute angled.Determination of right angled triangle:-When the square of the longest side is equal to the sum of the squares of two shorter sides then the triangle is right angled .Determination of obtuse angled triangle:-When the square of the longest side is more than the sum of the squares of two shorter sides then the triangle is obtuse angled.

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Final answer ⤵️

Longest side = 120 feetShorter side = 85 feetShortest side = 84 feet

[tex] \sf \longrightarrow \: {120}^{2} > {85}^{2} + {84}^{2} [/tex]

[tex] \sf \longrightarrow \:14400> 7225 + 7056[/tex]

[tex] \sf \longrightarrow \:14400> 14281[/tex]

[tex] \qquad \mathbb{TRUE}[/tex]

Thus, The triangle is obtuse angled...~

a=120b=84c=85

We need angle

Apply law of cosines

[tex]\\ \rm\Rrightarrow c^2=a^2+b^2-2abcos\gamma[/tex]

[tex]\\ \rm\Rrightarrow 2abcos\gamma=a^2+b^2-c^2[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{a^2+b^2-c^2}{-2ab}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{120^2+84^2-85^2}{-2(120)(84)}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14400+7056-7225}{-20160}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14231}{-20160}[/tex]

[tex]\\ \rm\Rrightarrow cos\gamma=-0.714[/tex]

[tex]\\ \rm\Rrightarrow \gamma=cos^{-1}(-0.714)[/tex]

[tex]\\ \rm\Rrightarrow \gamma=135.56°[/tex]

The yard is obtuse

Determine the length and width of a rectangle if the perimeter is 42 and the length
is six more than twice the width.

Answers

Answer: The width would be 5 and the length would be 16

Step-by-step explanation:

If the length is 5… double that up, and you get 10. Six more than ten is 16… double that and you get 32. And then if you add 32+10 you get your total of 42 for the perimeter.

WILL MARK BRAINLIEST Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. b Given: FD ⊥ AB ∠A ≅ ∠B Prove: ∠F ≅∠CEF

Answers

Sum of the interior angles of any triangle equal 180° .

So ;

A + B + ECB = 180°

A = B = μ

So : 2μ + ECB = 180°

ECB = 180° - 2μ

_________________________________

ECF + ECB = 180°

ECF + 180° - 2μ = 180°

ECF = 180° - 180° + 2μ

ECF = 2μ

_________________________________

∆ ADE :

A + D + E = 180°

μ + 90° + E = 180°

E = 180° - 90° - μ

E = 90° - μ

_________________________________

AED + AEF = 180°

90° - μ + AEF = 180°

AEF = 180° - 90° + μ

AEF = 90° + μ

_________________________________

AEF + FEC = 180°

90° + μ + FEC = 180°

FEC = 180° - 90° - μ

FEC = 90° - μ (( # ))

_________________________________

∆ BDF :

B + D + F = 180°

μ + 90° + F = 180°

F = 180° - 90° - μ

F = 90° - μ (())

_________________________________

((#)), (()) say :

FEC = 90° - μ

F = 90° - μ

So : F =~ FEC

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

If = 14,700,-473,4644,84 . Then, Z is what

Answers

The equation is an illustration of the subtraction equation

The value of z in the equation is -473449784

What are equations?

Equations are expressions that have equal values, when compared

How to determine the value of z?

The equation to determine the value of z is given as:

z = 14,700,-473,4644,84

Evaluate the difference

z = -473449784

Hence, the value of z in the equation is -473449784

Read more about equations at:

https://brainly.com/question/2972832

which choices are correctly written in a scientific notation ? select the four correct answers

Answers

Answer:

34

Step-by-step explanation:

Answer:B,D,F,G

Step-by-step explanation:

Find the sum. Enter your answer in the box.

3 + (–4)

Answers

Answer:

the answer is -1

Step-by-step explanation:

Answer:

The answer is -1

Step-by-step explanation:

If you have 3 and you take away 4, so you end up with a negative number. or what you can do is also just flip the numbers around so subtract 4 minus 3 and put a negative sign when the first number is less than the second one!!

Hope this helps!!!!

On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does f(x) achieve a minimum?

Answers

Answer:

Step-by-step explanation:

The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...

In [2π, 4π), x = 7π/2

The function f(x)=sin(x) achieves its minimum value of -1 at x=3π.

The function f(x)=sin(x) is a periodic function with a period of 2π, meaning it repeats every 2π units. Within the interval [2π,4π), which is one period of the function, the minimum value of sin(x) occurs at x=3π.

This is because at x=3π, the sine function reaches its minimum value of -1. As you move further away from 3π, the sine function starts increasing again.

So, within the interval [2π,4π), the function f(x)=sin(x) achieves its minimum value of -1 at x=3π.

To know more about function:

https://brainly.com/question/30721594?


#SPJ3

Bonds with a face value of $744000 and a quoted price of 98.5 have a selling price of

Answers

Answer:

67.91

Step-by-step explanation:

Jocelyn and linda own a bakery. they had 388 custoners this week, 55 fewer than last week. write and algebraic equation for the number of customers they had last week (Let c be the number of costumers they had last week.)​

Answers

Answer:

c - 55 = 338

Step-by-step explanation:

fifty-five fewer than the number last week is   338

              c - 55                                               =    338

algebraic equation: c - 55= 338

Hope it helps!!!Brainliest pls!!!

How many solutions does the following equation has

Answers

Answer:

I think only 1 but not 100% sure

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

Combine like terms and simplify.

20z - 5 - 12z = 10z + 8

⇒ z(20 - 12) - 5 = 10z + 8

⇒ z(8) - 5 = 10z + 8

⇒ 8z - 5 = 10z + 8

Subtract 8z both sides.

⇒ 8z - 8z - 5 = 10z + 8 - 8z

⇒ -5 = 2z + 8

Subtract 8 both sides.

⇒ -5 - 8 = 2z + 8 - 8

⇒ -13 = 2z

⇒ -13/2 = 2z/2

⇒ -6.5 = z

Thus, there is 1 solution.

A car rental company charges a daily rate of $41 plus $0.10 per mile for a certain car. Suppose that you rent that car tor a day and your bill (before taxes) is $86. How many miles did you drive?

Answers

$86-$41=46
46/.1=450
450 miles driven

The weight of an object on Planet X is twice that of its weight on Earth and one third of its weight on Planet Y. If an object on Earth weighs 100 units, what is its weight on Planet Y?

Answers

I’m confused on the wording but it might be either 600 or 33.333 (continues forever)

Answer:

33.3333333333

Step-by-step explanation:

100 divided 1/3 = 33.3333333333

hope it helped

Enter the improper fraction as a mixed number.
32/9

Answers

32/9 as a mises fraction is : 3 5/9
Hope this helps :)

Answer:

[tex]\3[/tex]3 [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Reflection of point P (3,-1) over the line y=x is

Answers

Answer:

(-3,-1)

Step-by-step explanation:

what is [tex]\frac{w}{3}[/tex] + [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{12}[/tex]

my answer was w = - [tex]\frac{9}{4}[/tex]

Answers

Yes you’re correct :)
Yes that is ..................

WILL GIVE BRAINLIEST(If it helps me) SO PLEASE HELP
A weight loss organization has a new member who weighs 210 pounds. After 6
months the member hopes to weigh 162 pounds.
a. Write a linear model that represents the member's weight loss goal.
b. According to the linear model, how much should the member weight after 9
months?
c. What is the slope of this function? What does the slope represent in this scenario?

Answers

Answer:

Our calorie calculator will tell you how many calories you ... If you would like to lose or gain weight, you can also enter ... Here is the backstory on the following fantastic ...

Step-by-step explanation:

make me as brain liest

Please type out the correct one for me out of those 2 thanks <4

Answers

Answer:

1.2n=0.45n+1.5

Step-by-step explanation:

436 +2312 leaving your answer in base 4 and 8728-3456 leaving your answer in base 9​

Answers

498+345 is the answer but you divide the 3 for base of 9

What type of decimal is this fraction: 11/20


1.Group of answer choices



2.repeating



3.neither



4.both



5.terminating

Answers

Answer:

I think the answer is repeating because it'd be

0.55

Solve for x and graph the solution on the number line below.

Answers

search up Algebra Calculator on google and click the first website, it will help a lot and you won’t have to use points

The solution to both inequality is [tex]x>-1[/tex] and  [tex]x\leq 7[/tex].

We have equation [tex]-2>-4x-6[/tex] and [tex]-34\leq -4x-6[/tex]

Let us solve the inequality

[tex]-2>-4x-6\\-2+6>-4x\\4>-4x\\x>-1[/tex]

Now, let us solve the inequality

[tex]-34\leq -4x-6\\-34+6\leq -4x\\-28\leq -4x\\x\leq 7[/tex]

Learn more:https://brainly.in/question/9995212

What's the exact area and the exact perimeter of square EFGH shown in the coordinate plane?

Answers

Using the distance between two points to find the length of the side of the square, it is found that:

The area is of 50 square units.The perimeter is of [tex]20\sqrt{2}[/tex] units.Hence, option A is correct.

The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:

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

In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:

[tex]l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}[/tex]

The area of a square of side length l is given by:

[tex]A = l^2[/tex]

Hence:

[tex]A = (5\sqrt{2})^2 = 50[/tex]

The area is of 50 square units.

The perimeter of a square of side length l is given by:

[tex]P = 4l[/tex]

Hence:

[tex]P = 4(5\sqrt{2}) = 20\sqrt{2}[/tex]

The perimeter is of [tex]20\sqrt{2}[/tex] units.

You can learn more about distance between two points at https://brainly.com/question/18345417

Answer:

IT'S A

Step-by-step explanation:

Whats the height of the rectangular prism

Answers

Answer:

length l = 32.25 m

width w = 8223.75 m

height h = 12.5 m

diagonal d = 8223.82273 m

total surface area Stot = 736831.875 m2

lateral surface area Slat = 206400 m2

top surface area Stop = 265215.938 m2

bottom surface area Sbot = 265215.938 m2

volume V = 3315199.22 m3

Step-by-step explanation:

Emma buys two identical bottles of shampoo. She uses of 3/8 one of them at home, and uses 7/10
of all the remaining shampoo while she is on holidays. In total, how much shampoo remains?

Answers

Answer:

Step-by-step explanation:

she uses 3/8's of one of them and 7/10 of the other one. first, you need to make the denomanators the same number. so the answer is 3/16 of the starting amount

If t < s and s < r, what is the relationship between the values t and r?

Answers

Answer:

r is much larger compared to t.

r is much larger compared to the largness of s to r.

Step-by-step explanation:

help please:) its a quick question
20 pointss

Answers

Answer:

1rst one

Step-by-step explanation:

Answer:

1st

Step-by-step explanation:

Choose the expression that represents a quadratic expression.
O 6x4 - 5x3 + 3x2 -7x - 8
O 5x3 + 3x2 -7x - 8
© 2x2 + 3x - 1
© 3x - 1

Answers

Answer:

[tex]2x {}^{2} + 3x - 1[/tex] option(c)

Step-by-step explanation:

[tex]its \: 2x {}^{2} + 3x - 1 \\ because \: the \: highest \: power \: of \: the \: unkown \: is \: 2[/tex]

Please teach me how to solve part b, thank you.​

Answers

Part (a)

The locus is the set of points that satisfy the given conditions. Namely that the point P needs to be 1 unit from the line given.

Think of a median along a highway. Then imagine the two shoulders of the road. The locus describes the two parallel lines that are to this given median. In other words, the median is y = x+2 and the road shoulders are unknown for now.

Though we do know that parallel lines have equal slopes (but different y intercepts).

Therefore, the answers to the next section will be of the form y = x+k for some real number k.

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

Part (b)

Use your favorite graphing tool to plot y = x+2. I recommend GeoGebra since I use it all the time, and it's what I used to make the drawing below. Desmos is another tool you can use. Both are free.

Note that point A(0,2) is on the line y = x+2. The line perpendicular to y = x+2 and goes through (0,2) is y = -x+2. From here, plot a circle centered at (0,2) with radius 1. The equation of this circle is x^2 + (y-2)^2 = 1

The intersection points of the circle and y = -x+2 will provide starting points, so to speak, for the two shoulder lines I mentioned in part (a).

The approximate locations of those points are:

B = (0.71, 1.29)

C = (-0.71, 2.71)

From here, it shouldn't be too hard to find the y = mx+b forms of the locus lines. Let me know if you need help with that, or if you need me to check your answers.

Side note: Why is it called a locus? I'm not sure, but my gut feeling tells me it has to do with the insects of a similar sounding name (locus the math term and locust the insect). Imagine millions of them forming various shapes in the sky, similar to how many points are used in the 2D plane to create various curves.

please help
A bank employee combines the constant function f(t)=5000 and the linear function g(t)=250t to create the function h(t)=f(t)+g(t), where h(t) represents the value, in dollars, of an account earning simple interest after t years.

Based on the function h(t), what will be the account value 5 years after the account is opened?

A.) $5,250

B.) $6,250

C.) $25,250

D.) $26,250

Answers

Answer:

B. $6,250

Step-by-step explanation:

Given data

constant function f(t)=5000

linear function g(t)=250t

new function= h(t)=f(t)+g(t)

the new value will be

5000+250t

substituting t = 5 in the linear function we have

=5000+250(5)

=5000+1250

=6250

the answer is $6250

the answer is option B

On a standardized test, Jose scored an 87 and Mia scored a 74. The distribution of test scores for the population is normal with a population mean of 76.28 and a population standard deviation of 7.02.

What percentage of people received a higher score than Jose?

Answers

Using the normal distribution, it is found that 6.3% of people received a higher score than Jose.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 76.28, \sigma = 7.02[/tex].

The proportion of people who received a higher score than Jose is one subtracted by the p-value of Z when X = 87, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 76.28}{7.02}[/tex]

[tex]Z = 1.53[/tex]

[tex]Z = 1.53[/tex] has a p-value of 0.937.

1 - 0.937 = 0.063.

6.3% of people received a higher score than Jose.

More can be learned about the the normal distribution at https://brainly.com/question/24663213

Jess is overseas and withdraws $150.00 from his account. His bank charges a foreign transaction fee of
$6.00, plus 2.5% when converting to the local currency. How much will his bank charge in fees?

Answers

Answer:

$9.75

Step-by-step explanation:

Given

The sum taken = $150One off fee = $6Rate of conversion = 2.5%

Total fees

6 + 150*0.025 = 6 + 3.75 = $9.75

Answer:

$9.75

Step-by-step explanation:

Take the percentage off what he withdrew.

2.5% = 0.025

150 * 0.025 = 3.75

Add the transaction fee.

6 + 3.75 = $9.75

Best of Luck!

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i need help, at midnight, the temperature was -8*f at noon, the temperature was 23*f, which expression represents the increase in temperature? (a) -8 -23 (b) |-8| -23 (c) -8 - |23| (d) |-8 -23| Solve the system y = -x + 7 and y = 0.5(x - 3)2sThis is for 25 points. True or false for the following questions? Sort these events in the order in which they occurred.Jesus began His public ministry.The heavens opened.The voice of God spoke from heaven, approving Jesus.The Holy Spirit descended in the form of a dove.John baptized Jesus in the Jordan River.John baptized repenting sinners.Jesus went to John to be baptized.John was confused by Jesus' request to be baptized a. Identify the constitutional clause that is common to both Wisconsin v. Yoder (1972) and Oregon v. Smith (1989). b. Based on the constitutional clause identified in part A, explain why the facts of Wisconsin v. Yoder led to a different holding than the holding in Oregon v. Smith. c. Describe an action that members of the state legislature could take if they disagreed with the decision in Oregon v. Smith. Which organelle contains the hereditary information (DNA) for the cell?Golgi bodynucleusmitochondrionendoplasmic reticulum For every 15 seventh graders in band, there are 20 eighth graders. What is the ratio of eighth graders to seventh graders? Why and how did the emergence of towns weaken feudalism?(Middle Ages) Which sentence uses a semicolon correctly? question 14 options: after the game ended; michael drove all of his friends home. the men grunted while they moved the new oven; into the redesigned kitchen. the school year ended bleakly; no one knew who had stolen the school's mascot. while james was proud of his campaign; he still wished he had won class president. What is the median of the data displayed in this box-and-whisker plot?42495457 An 9.20 kg ball, hanging from the ceiling by a light wire 130 cm long, is struck in an elastic collision by a 2.80 kg ball moving horizontally at 3.50 m/s just before the collision. Find the tension in the wire just after collision. Written in the given rational numbers into the correct Whats 2+9x40-2(50) points plz help The equation of line A is y = 6x + 12. Line B is perpendicular to line A and passes through the point (3, 11 1/2). What would be the solution to the system of equations represented by line A and line B? Identify the domain and range of the function graphed below which equation can be used to solve for acceleration? Paper Answer if can (write explanation on paper) - Brainliest given:Solve for x:x + 16 = 1068 9 = (-6p - (-3)) / -8 Mr. Johnson sells and repairs watches at his store. Part A: Mr. Johnson took the price of a watch that was listed at $60 and marked it up by 30%. After the markup, what is the selling price of the watch?Part B: A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? * Which Island grupo did the Spanish end up colonizing in the West Indies