Find the slope of the line that is parallel and perpendicular to the following equation.
2x-2y=-6

Answers

Answer 1

Answer:

Parallel lines 1

perpendicular lines -1

Step-by-step explanation:

2x-2y = -6

Solve for y to get it in slope intercept form

-2y = -2x-6

Divide by -2

y = x+3

This is slope intercept form y = mx+b  where m is the slope

Parallel lines have the same slope

A parallel line would have a slope of 1

Perpendicular lines would have a slope that is a negative reciprocal

-1/1

Perpendicular lines would have a slope of -1

Answer 2

Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]

m: slopeb: y-intercept of the function

To put it into that format, we need to simply put y on one side of the equation and the rest on the other side

    [tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]

What do we want to find first ⇒ a line parallel to the original line

a line that is parallel to the original line only has one requirement, it must have the same slope, such as the one below

          [tex]y = x +5[/tex]

What do we also want to find ⇒ a line perpendicular to the original line

a line that is perpendicular to the original line only has one requirement, the slope has to be the negative reciprocal of the original slope

         ⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1

            ⇒ so an example is

                     [tex]y = -x + 3[/tex]

Answer:

Line that is parallel: slope is 1Line that is perpendicular: slope is -1

Hope that helps!

   

       


Related Questions

Divide and simplify. − 8 15 ÷ − 3 5 A) − 3 25 B) − 4 5 C) 13 15 D) 8 9
A 100 points

Answers

Step-by-step explanation:

- will be cancel

then

815/35= 23.28

The area of parallelogram is 104 square units and base length is 13. What is the height of the parallelogram?

Answers

Answer :

8 units

Step-by-step explanation :

Here,

Area of the parallelogram is 104 sq. units

Base length of the parallelogram is 13 units.

We know that,

[tex]{\longrightarrow \qquad{ \mathfrak{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}[/tex]

Now, Substituting the values in the formula :

[tex]{\longrightarrow \qquad{ \sf{ {13 \times Height = 104}}}}[/tex]

[tex]{\longrightarrow \qquad{ \sf{ {Height = \dfrac{104}{13} }}}}

[/tex]

[tex]{\longrightarrow \qquad{ \pmb { \frak{Height \: \: {= 8}}}}}[/tex]

Therefore,

The Height of the parallelogram is 8 units.

Question :-

The Area of Parallelogram is 104 units² . Its Base is 13 units . What is the Height of the Parallelogram ?

Answer :-

Height of Parallelogram is 8 units .

Explanation :-

As per the provided information in the given question, we have been given that the Area of Parallelogram is 104 units² . Its Base is given as 13 units . And, we have been asked to calculate the Height of the Parallelogram .

For calculating the Height , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf { Area \: _{Parallelogram} \: = \: Base \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf { 104 \: = \: 13 \: \times \: Height } [/tex]

[tex] \longmapsto \: \: \: \sf { \dfrac {104}{13} \: = \: Height} [/tex]

[tex] \longmapsto \: \: \: \sf { 8 \: = \: Height} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Height \: = \: 8 }} [/tex]

Hence :-

Height of Parallelogram = 8 units .

[tex] \underline {\rule {204pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]

which one is the missing symbol.
4/5 ? 1/2

A. >
B. <
C. =

Answers

ANSWER: 1/2 < 4/5

SOLVING STEPS: rearrange from smallest to largest

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ7

A mute for a brass instrument is formed by taking a solid cone with a radius of 10 centimeters and an altitude of 20 centimeters and cutting off the top. The cut is made along a plane that is perpendicular to the altitude of the cone and intersects the altitude 6 centimeters from the vertex. Round your answers to the nearest hundredth.

What is the surface area of the original cone?
What is the surface area of the cone that is removed?
What is the surface area of the mute?

Answers

By using the formula for the area of a cone, we will get:

i)  942 cm^2ii)  84.78cm^2iii)  885.48cm^2

How to get the surface areas?

First, let's find the area of the original cone. Remember that for a cone of radius R and height H, the surface area is:

A  = pi*R^2 + pi*R*H

Then for the original cone where:

R = 10cm

H = 20cm

The area is:

A = 3.14*(10cm)^2 + 3.14*10cm*20cm = 942 cm^2

Now, we remove a smaller cone at 6 cm from the vertex, so we are removing a cone with height of 6 cm, and the radius of this cone is given by:

R' = R*(H'/H) = 10cm*(6cm/20cm) = 3cm

So the area of the removed cone is:

A' = 3.14*( (3cm)^2 + 3cm*6cm) = 84.78cm^2

The final area of the mute will be equal to the difference between the area of the original cone and the area of the removed cone, plus the area of the top cross-section (a circle of radius of 3cm)

A'' = 942 cm^2 - 84.78cm^2 + 3.14*(3cm)^2 = 885.48cm^2

If you want to learn more about areas, you can read

https://brainly.com/question/6613758

The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.​

Answers

Answer:

599>w

Step-by-step explanation:

Since the max was 599 we need to show that the weight or w has to be less than 599

Answer:

599 ≥ w

Step-by-step explanation:

The other person is wrong

It can hold 599 pounds, and anything less than that, so we use this symbol

find the slope in simplest form

Please help i’ll give brainliest

Answers

Answer:

1. 4/5 (0.8) | 2. 6/3 (2.0) | 2. -2/6 (0.3333...) | 4. 7/4 (1.75) |

Step-by-step explanation:

I wrote each in decimal form (if possible) and fraction form.

Brainliest please?

Does this mean my data is normally distributed or not? How did you know?

Answers

Answer:

There are most likely a few outliers, with the rest of the data close to the mean. The standard deviation is an indication of how "wide" the peak of the graph is. Since we have a very large range, that means that the values cover a very large range. But since the standard deviation is small, that means that most of the values are extremely close to the average (or mean) of the values. With that in mind, let's look at the options and see what fits. The distribution is very flat with a gradual increase in frequency as the numbers approach the mean. * This would have a rather large standard deviation since most of the values would be a fair distance from the mean. So this is a bad choice. There are most likely a few outliers, with the rest of the data close to the mean. * This is a very accurate description of the situation. So it's the correct choice. You can't really know anything about the distribution's shape without actually seeing it, or having more data. * This is a cop out and quite wrong. Therefore this is a bad choice. The distribution is essentially normal or bell shaped. * This is what is usually expected, but since we have a small standard deviation, the curve is more definitely NOT bell shaped. So this is a wrong choice...

Step-by-step explanation:

#caryonlearning correct me if im wrong

i think it’s #1 but what’s the work?

Answers

You have to divide first then subtract
You correct the answer is 1

Because sin^-1(-2/5)=-23.578
Plug in cot theta = -2.29
which is approximately equal to 1

So you are right option 1 is correct

What is the value of n when 2/3 of n equals 42? Enter the answer in the box.

Answers

The value of n will be 63, we converted the word to mathematical expression then found n

Word Problem

When we see the word "of" in a mathematic expression, it simply means multiplication

Hence we have the mathematical expression for the word in our example as

2/3*n = 42

re-write

2n/3 = 42

cross multiplying we have

2n = 42*3

2n = 126

divide both side by 2 we have

n = 126/2

n = 63

Learn more about word problem here:

https://brainly.com/question/25693822

the tree diagram represents an experiment consisting two trials

Answers

Answer:

0.35

Explanation:

P ( B and D )0.5 * 0.70.35

Follow the branch B and then branch D

multiply both the selected probabilities to calculate total probability.

Answer:

0.35

Step-by-step explanation:

To find the probability of a sequence of events, multiply along the branches representing those events.

Therefore, P(B and D) = 0.5 x 0.7 = 0.35

** refer to the attached diagram **

Johnny wants to go to his friends house. Johnny is located at (0, 0) and Johnny's friends lives at (5, 7). If each line on the graph represents one mile, which of the following must johnny do to get to his friends house?

A. Go East for 5 miles then North for 7 miles.
B. Go West for 5 miles then North for 7 miles.
C. Go East for 5 miles then South for 7 miles.
D.Go West for 5 miles then south for 7 miles.

Answers

Answer:

A

Step-by-step explanation:

The answer is A because on a graph you have to move 5 units right on the x line and 7 units up on the y line. This means East for 5 miles then North for 7 miles.

Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answers

Answer:

120° and 80°

Step-by-step explanation:

quadrilateral = 360°

125° + 35° = 160°

360° - 160° = 200°

3/5 of 200° = 120°

200° - 120° = 80°

Answer:

Step-by-step explanation:

Finding the missing angles of quadrilateral:

Ratio of other two angles = 3 : 5

Other two angles are 3x , 5x

Sum of all angles of quadrilateral = 360

125 + 35 + 3x + 5x = 360

Combine like terms

          160 +  8x  = 360

Subtract 160 from both sides

                     8x  = 360 - 160

                     8x = 200

Divide both sides by 8 to isolate x

                       x = 200/8

                        x = 25

5x = 5*25 = 125

3x = 3*25 = 75

The other two angles are 125° , 75°

Find the value of X and y in this figure

Answers

Answer:

Step-by-step explanation:

HURRY ONLY HAVE 1 MIN!!!!!!!!!!!!!!!!
A rectangular prism is 2 meters long, 5 meters wide, and has a height of 10 meters. What is its volume?

70 m 3
190 m 3
100 m 3
50 m 3

Answers

Answer:

100 m3

Step-by-step explanation:

2*5*10 = 10*10 *100

PLEASE SOLVE THIS QUICKLY
Log 50/ Log 6 -3

Answers

Answer:

-0.8

________________________________________________________

Solve

If the value of log 50 rounds to 1.7, find the value of log 6 and -3

[tex]log6 = 0.77815125038[/tex]

Subtract by 3.

[tex]log6 - 3 = 2(estimate)[/tex]

Divide by ㏒ 50

[tex]\frac{log6 - 3 }{50} = -0.8(estimate)[/tex]

________________________________________________________

Questions

Ask in the comments box.

I need help solving this

Answers

Answer:

x = 46 :)

Step-by-step explanation:

First we subtract :)

180 - 88 = 92

Now we divide :)

92/2 = 46

Now you know how to solve this type of problem!!

Have an amazing day!!

Please rate and mark brainliest!!

What is the mean of the values in the dot plot?



Enter your answer in the box.

Answers

Answer:

the mean is 46.

Step-by-step explanation:

The total is 460 and divided by the amount of numbers(10) is 46.

Here's a graph of a linear function. Write the
equation that describes that function Express it in slope-intercept form.

Answers

Answer:

The answer to the linear function is

y = 1/2x + 4

The circumference of a sphere is 18π inches. Find the volume of the sphere in terms of π

Answers

Answer:

volume=12п

Step-by-step explanation:

circumference =2пr

2пr=18п

r=18п:2п

r=9

volume of sphere= (4/3)*п*r

volume=(4/3)*п*9

volume=4*п*3

volume=12п

8x + 8 + -3
I need help finding this question

Answers

Answer:

8x+5

Step-by-step explanation:

8x + 8 + (-3) = 8x+8 - 3 = 8x + 5.

Hope this helps!

Also, please mark as brainliest!

Answer:

The answer is 8x+5

Step-by-step explanation:

1. Combine like terms so it will be 8 and -3

2. this will leave you with 8x+5 which you cannot do anything further.

Virgil opened an account with a deposit of $815.
. The bank pays 5% interest compounded annually on this account.
• Virgil makes no additional deposits or withdrawals.
How much interest will the account have earned after 6.5 years?

Answers

Answer:

  $304.15

Step-by-step explanation:

The amount of interest earned can be found from the formula ...

  I = P((1 +r)^t -1)

  I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15

Virgil's account will have earned about $304.15 in interest in 6.5 years.

The point (7,7) is a point on the terminal side of theta. What is the exact value of csc theta in simplest form?

Answers

[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]

Find CD. Assume segments that appear to be tangent are tangent.​

Answers

Answer: 5

Step-by-step explanation:

What is the surface area of this design? (in the image)

Answers

★TSA=2(LB+BH+LH)

#1

L=4B=4H=6

TSA:-

2(4×4+4×6+4×4)2(16+16+24)2(56)112in²

#2

L=6inB=10inH=6in

TSA:-

2(60+60+36)2(120+36)2(156)312in²

Total:-

312+112=424in²

a sector of a circle has a central angle measure of 60°, and an area of 14 sq inches, what is the area of the entire circle​

Answers

Answer:

area of entire circle = 84 in²

Explanation:

[tex]\sf \dfrac{\theta}{360} *\pi *r^2 = Area \ of \ sector[/tex]

===========

[tex]\sf \rightarrow \dfrac{60}{360} *\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow \dfrac{1}{6}\pi *r^2 = 14[/tex]

[tex]\sf \rightarrow r^2 = \dfrac{14*6}{ \pi}[/tex]

[tex]\sf \rightarrow r = \sqrt{\dfrac{84}{ \pi} }[/tex]

[tex]\sf \rightarrow r = 5.17\ in[/tex]

Area of circle:

[tex]\sf \pi r^2[/tex]

=====

[tex]\hookrightarrow \sf \pi (5.17)^2[/tex]

[tex]\hookrightarrow \sf 84\ in^2[/tex]

Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42

Answers

Answer:

The answer for the first part is 2/5

Step-by-step explanation:

Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5

PLEASE MARK AS BRAINLIEST

What is the quotient?

690/16

A.
B.
C.
D.

Answers

43 is the quotient

=======

[tex]\rightarrow \sf \dfrac{690}{16}[/tex]

[tex]\rightarrow \sf 43\dfrac{2}{16}[/tex]

=========

In a mixed fraction like: [tex]\sf a \dfrac{b}{c}[/tex]

a = quotientb = remainderc = divisor

Answer:

43

Step-by-step explanation:

To find the quotient of 690/16, the first step is to simplify the expression so that it would be easier to simplify.

[tex]\rightarrowtail \dfrac{690}{16} = \dfrac{345}{8}[/tex]

Now, let's simplify the expresssion using long division.

(Refer to image attached)

According to the image, we can tell that quotient is 43. Keep in mind that the quotient is the number obtained at the top.

Find the volume of the cone.
Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

Answer:

94.2 cm³

Step-by-step explanation:

Volume of cone= ⅓πr²h

Let's identify the radius of the base and the height of the cone!

r= 3 cm

h= 10 cm

Next, substitute r= 3 and h= 10 into the volume of cone formula.

Volume of cone

= ⅓(3.14)(3²)(10)

= 94.2 cm³

What is the slope and y-Intercept of the equation on the graph?

Answers

Answer:

Slope: 3/2

Y-Intercept: 3

Step-by-step explanation:

The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).

The Y Intercept is 3

The slope is found using the slope formula of y2-y1/x2-x1

Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)

Lets Solve!

3- 0 = 3

0-(-2) = 2

3/2 is the slope

So the formula is Y = 3/2 + 3

A triangle has angle measures of 41 cm, and 24 cm. Find the measurement of the missing angle in the triangle.

Answers

Answer:

115

Step-by-step explanation:

41+24=65.

180-65=115

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