Place (dlick and drag) one option from each of the lists below Into Its corresponding box to
create an equation of the line that passes through the polnt (1, "10) and is perpandicular to y=-1/3 x +5

Answers

Answer 1

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-1}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-1}\implies 3}}[/tex]

so we're really looking for the equation of a line whose slope is 3 and passes through (1 , 10)

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{3}(x-\stackrel{x_1}{1}) \\\\\\ y-10=3x-3\implies y=3x+7[/tex]


Related Questions

how can I solve this question?

Answers

In order for two triangles to be congruent, they need to have two equal angles. Because AC and BD are diameters, angle A and angle D are equal and both are acute (90 deg). This happens because every angle which faces diameter is acute. So now we have proved that these triangles have 1 identical angle, and we need to prove the same for some another angle. If we take a look to OB and OC, we notice that they are radiuses and have equal sizes, so the angleOBA=angleOCD. Proved.

A plumber charges $45 for the first hour and $30 for each additional hour. How much does he charge if it takes him 4 hours to a repair?

Answers

Answer:

135

Step-by-step explanation:

45+30+30+30


Someone please help me, I’m completely lost

Answers

Answer:

The answer is B, 396 square units.

Step-by-step explanation:

We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.

The base of the figure is 8*12 = 96.

The rectangle at the back of the figure is 8*9 = 72.

To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.

The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.

Now we sum up the areas: 96 + 72 + 120 + 108 = 396

Bryan went to mexico and exchanged 150 US dollars for 3000 mexican pesos. How many pesos did he receive per US dollar?

Answers

20

Step-by-step explanation:

you do 3000 divided by 150

42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the
coffee mugs at the pancake house are dirty?

Answers

Answer:

84%

Step-by-step explanation:

of the means division.

42/50 = 84/100 = 84%

The percentage of the dirty coffee mugs at the pancake house will

be 84%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Total number of coffee mugs = 50

Dirty coffee mugs = 42

Now,

The  percentage of the dirty coffee mugs at the pancake house is calculated as;

Percent = 42 / 50 x 100

            = 0.84 x 100

            = 84%

Thus, The percentage of the dirty coffee mugs at the pancake house will

be 84%.

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Last year, the personal best high jumps of
track athletes in a nearby state were
normally distributed with a mean of
208 cm and a standard deviation of
19 cm What is the probability that a
randomly selected high jumper has a
personal best between 227 and 265 cm?

Answers

Using the normal distribution, it is found that there is a 0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 208, \sigma = 19[/tex]

The probability that a randomly selected high jumper has a personal best between 227 and 265 cm is the p-value of Z when X = 265 subtracted by the p-value of Z when X = 227, hence:

X = 265:

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

[tex]Z = \frac{265 - 208}{19}[/tex]

Z = 3

Z = 3 has a p-value of 0.9987.

X = 227:

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

[tex]Z = \frac{227 - 208}{19}[/tex]

Z = 1

Z = 1 has a p-value of 0.1587.

0.9987 - 0.1587 = 0.84.

0.84 = 84% probability that a randomly selected high jumper has a personal best between 227 and 265 cm.

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if p= the price of a pair of basketball shoes, which algebraic expression represents the phrase below? the difference of the price of the shoes and 5 dollars

Answers

Answer:

$p - $5

or just p - 5

Step-by-step explanation:

I hope this helps

Which number is a solution of the inequality
x < 8.7

Answers

Answer:

Given the inequality, any number that is less than 8.7 (not including 8.7) would fall into the category of a solution for this inequality.  So 8, 1, -41, 0.3 are all solutions as well as an infinite amount of other solutions.

Hope this helps!  Let me know if you have any questions

Last one! I promise brainliest!

Answers

Step-by-step explanation:

1. You have to find the gradient / slope from y = 5x + 20

y = 5x + 20

y = mx + c

With using a general form, we known that the gradient of the line is 5.

2. Use the formula "[tex]y - y_1 = m.(x - x_1)[/tex]" to find the line.

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 10 = 5.(x - 0)[/tex]

[tex]y = 5x - 0 + 10[/tex]

[tex]y = 5x + 10[/tex]

Answer:

y = 5x + 10.

Step-by-step explanation:

Y = 5x + 20

The gradient m = 5

So the line parallel to it has a gradient of 5 also.

Using the point slope form of straight line:

y - y1 = m(x - x1)

Here,  m = 5, x1 = 0 and y1 = 10:

y - 10 = 5(x - 0)

y - 10 = 5x

y = 5x + 10.

An architect is designing a slanted ramp that connects to a loading dock. The vertical distance between the ground and the loading dock is 5 feet. The ramp meets the ground at a 15° angle. How far is the base of the ramp from the base of the loading dock?

1.34 feet
4.38 feet
5.84 feet
18.66 feet

Answers

Answer:

5.84 feet hope this help you!!

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set. How do you justify this statement?​

Answers

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

What are Domesticated animals?

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

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Rewrite the following in the form log(c)
log(6)−log(3)

Answers

Answer:   log(2)

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

[tex]\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)[/tex]

Find the surface area

Answers

Answer:

200.96

Step-by-step explanation:

2(3.14)2^2 + 2(3.14)2*14

8*3.14 = 25.12

56*3.14 = 175.84

175.84 + 25.12 = 200.96

Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbin's model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin's model?

Answers

The height of Corbin's model given the actual height of the monument and the scale of the model is 6.04 inches.

What is the height of the model?

A scale model is smaller representation of a bigger object / drawing. The scale model is reduced by constant dimensions.

The height of Corbin's model = 604 / 100 = 6.04 inches

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need help please, I dont exactly get how to do this. Thank you!

Answers

Answer:

122

Step-by-step explanation:

180 degrees is in a triangle

180- 45-15= 122

thats how you get your answer

. you subtract the two points from 180 to get the missing point

- AKIA

There are different ways to represent 2 2/3 Select the three choices below that represent 2 2/3

Answers

Answer: both of the bars and number line equal 2 2/3

Step-by-step explanation:

The answer is choice A, B, and C.

31. The vector i represents 1 mile per hour east, and the
i
vector j represents 1 mile per hour north. Maria is
jogging south at 12 miles per hour. One of the
following vectors represents Maria's velocity, in miles
per hour. Which one?
A. -12i
B. -12j
C. 12i
D. 12j
E. 12i + 12j

Answers

Answer:

B

Explanation:

The north is opposite to the south

So the vector [tex]j[/tex] represents 1 mile per hour south.

Maria is jogging south at 12 miles per hour.

Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.

The vector used to represent the position of Maria is -12j.

What is Vector?

A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.

Given:

vector i represents 1 mile per hour east

and, vector j represents 1 mile per hour north

Now, the position of north is opposite to south

Now, Maria is jogging south at 12 miles per hour.

So, the vector used to represent the position of Maria is -12j.

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solve for x (x+3)^2=36

Answers

Answer:

x is about 1.6587 (do the curved equal sign)

Step-by-step explanation:

Checked with symbolab,

So you expand x(x+3)^2

Then -36 from both sides

Then simplify

Then find one solution to x

Then Use long division to get your answer.

select the correct answer. The curved sides of large storage tanks at a refinery need to be painted. What is the approximate area of each tank that will be painted?

Answers

The approximate area of each tank that will be painted is 2287.08 ft².

How to find the lateral surface area of a cylinder?

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' unitsHeight of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

The missing image is attached below.

The tank is cylindrical in shape.

For this case, we've got:

Diamter of the considered cylinder = d = 28 ftHeight of the considered cylinder = h = 26 ft

Radius = half of diameter = 28/2 = 14 ft

Thus, the curved surface area of each of such tanks is:

[tex]S_L = 2\pi r h = 2\pi (14)(26) = 728\pi \approx 2287.08 \: \rm ft^2[/tex]

Thus, the approximate area of each tank that will be painted is 2287.08 ft².

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Answer: 2287.08 ft²

Step-by-step explanation: Correct for plato/Edmentum

check the attachment pls.​

Answers

Answer:

60 degrees

Step-by-step explanation:

Vertical angles are angles opposite of each other created by intersecting lines.

Vertical angles are always congruent ( equal ) to each other.

So if an angle has a measure of 60 degrees then its vertical angle would also have a measure of 60 degrees

Answer:

60°

Step-by-step explanation:

Vertical angles are angles of the same measure.

One of the vertical angles is 60°. Therefore, the other angle must be 60°.

Hope this helps!!!

Please give me brainliest!!!

I only need one more brainliest for Virturoso so please give me brainliest

square root of 46 to the nearest integer

Answers

Answer:

7

Step-by-step explanation:

An integer can be a whole number or a whole negative number. 6.782 is the answer but because we have to put it into an integer I rounded it to 7.

6,782 is the square root
Nearest integer is 7
Hope this helps

7. Choose the correct equation for the statement:
When the sum of 3 consecutive even integers is divided by 6, the quotient is 8.
A
3n+3
=
= 8
6
B
3n+6+6=8
I
3n+6
= 8
6
n+n+2+n+4:6=8

Answers

Let's see

The integers be

nn+2n+4

So their sum

n+n+2+n+4

Divided by 6

n+n+2+n+4/6

Tune down into ratio

n+n+2+n+4:6

Put final equation on line

n+n+2+n+4:6=8

Spare equations

3n+6:6=8

The correct equation for the statement: 3n+6:6=8

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Let the three consecutive integers be

nn+2n+4

So their sum

n+n+2+n+4

and,

=n+n+2+n+4/6

=(3n+6)/6

= (n+2)/6

Hence, correct equation for the statement: 3n+6:6=8

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Micky can clean a house in 3 hours. Denise can clean the same house in 9 hours. How long will it take them to clean the house if they work together

Answers

Answer:

9 - 3 = 6.

Therefore, the answer equals to 6 hours .

I hope this helps :))

Step-by-step explanation:

verify the identity

tan 0-cot 0 / tan 0 + cot 0 (not on the same line) + 2cos^2 0=1

Answers

Answer:

See below for the proof of the identity

Step-by-step explanation:

I read your statement as [tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta=1[/tex]:

[tex]\displaystyle \frac{\tan\theta-\cot\theta}{\tan\theta+\cot\theta}+2\cos^2\theta\\\\\frac{\frac{\sin\theta}{\cos\theta}-\frac{\cos\theta}{\sin\theta}}{\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}} +2\cos^2\theta\\\\\frac{\frac{\sin^2\theta-\cos^2\theta}{\sin\theta\cos\theta}}{\frac{1}{\sin\theta\cos\theta}} +2\cos^2\theta[/tex]

[tex]\displaystyle \sin^2\theta-\cos^2\theta+2\cos^2\theta\\\\\sin^2\theta+\cos^2\theta\\\\1[/tex]

Thus, the identity is proven.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

The area of the training field will be 6933.06 square meters.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86 m long and 54 m wide.

Then the area of the training field will be

Area = area of a rectangle + area of a circle

Then we have

Area = 86 x 54 + 3.14 x 27 x 27

Area = 4644 + 2289.06

Area = 6933.06 m²

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5w + 9z = 2z + 3w solve for W

Answers

Answer:

w=-7/2z

Step-by-step explanation:

just ask

Step-by-step explanation:

[tex]5w + 9z = 2z + 3w[/tex]

[tex]5w - 3w = 2z - (9z)[/tex]

[tex]2w = - 7z[/tex]

[tex]w = - 7z \div 2[/tex]

[tex]w = - 7z \times \frac{1}{2} \\ [/tex]

[tex]w = - \frac{7}{2} z \\ [/tex]

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram? coordinate plane with quadrilateral ABCD at A 0 comma 0, B 5 comma negative 1, C 3 comma negative 5, and D negative 2 comma negative 4

Answers

The correct statement is to Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

The statement that explains how you could use coordinate geometry to prove that quadrilateral ABCD is a parallelogram is "Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals".

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he original price of a car was $28,500. Its current price is $25,875. What percent did the price of the car decrease?

Answers

Answer:

90.78%

Step-by-step explanation:

So the 100% value of the car=$28500

We don't know the percentage ?% =$25875

So 25875/28500×100=90.78%

Which statement best explains why the solutions of this quadratic equation are irrational?

Answers

The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.

What is an irrational quadratic equation?

An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.

Using the quadratic equation formula to solve, the irrational solutions are gotten below,

X = -b +√b²- 4ac/2a

where a = 3; b= 11 ; C = 9

X = -3+√11²-4*3*9/2*3

X= -3+√ 121-108/6

X= -3 +√13/6

X =-3/6 +√13/6

X= -1/2 + √13/6

Therefore,X = -1/2 +√13/6 or

X = -1/2 - √13/6

The solution are two irrational numbers that are not prefect squares.

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Given m∥n, find the value of x and y.

Answers

Answer:

x = 15

y = 63

Step-by-step explanation:

9x - 7 + 4x - 8 = 180

13x = 195

x = 15

9x - 7 = 2y + 2

126 = 2y

y = 63

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