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

Answers

Answer 1

Answer:

slope in parallel = 2

slope in perpendicular = [tex]\sf \bold{-\frac{1}{2} }[/tex]

y intercept = (0, 2)

Rewrite in slope intercept form:

slope intercept form: y = mx + b  || where "m" is slope and "b" is y-intercept

2x - y = -2-y = -2 - 2xy = 2x + 2         ** identify m and b _ _ _ m = 2, b = 2 **

y-intercept:  2  --- as "b" is [+2] then x will be always 0 at y-intercept

y-intercept coordinates: (0, 2)

slope is same when parallel

slope in parallel = 2   --- as "m" is [+2]

perpendicular slope is negative reciprocal of the parallel slope

m1 is the parallel slope and m2 is the perpendicular slope

m1 * m2 = -12 * m2 = -1m2 = -1/2   --- this is the slope of perpendicular line
Answer 2

Convert to slope intercept form

2x-y=-2y=2x+2

Slope:-

m=2

Parallel lines have equal slope

Slope of the perpendicular line=-1/2


Related Questions

Can someone please help me with this (a^3-(2*b))*(a^3-(3*b)) equation​

Answers

Hope the picture will help you...

Explain how to modify the graphs F(x) and g(x) to graph the solution to set the following system of inequalities. How can the solution set be identified? Y>x^2-1
Y<-x^2+4

Answers

The following rigid transformations are applied:

Reflection around the line y = -1.Translation 5 units in the +y direction.

The solution set is found by the fact that the domain of quadratic functions is the entire real domain.

How to apply rigid transformations to understand the differences between two given functions

According to the Euclidean geometry, rigid transformations are those transformations applied on geometrical loci such that Euclidean distances are conserved in every point of the loci. Reflections and translations are sound examples of rigid transformations.

In this question we must derive all needed rigid transformations to turn f(x) into g(x), both quadratic functions. After a careful analysis we conclude that the following rigid transformations are applied:

Reflection around the line y = -1.Translation 5 units in the +y direction.

The solution set is represent by all x-values such that the function exists. According to real algebra we remember that the domain of quadratic functions is the real domain. Thus, the solution sets of f(x) and g(x) are the real domain.

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

first a price was decreased by 12% then it was discounted again by 5% what is the percent of the total discount. From RSM

Answers

x = original price or 100%

so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]

now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.

so what's 95% of 0.88x?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]

so the new discounted price is just 0.836x or 83.6% of our original "x".

from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.

If someone could help me with this I would really appreciate it thank you !!

Answers

Answer:

It should be thirty if i read question properly

If want process pls comment

Answer:

30 in

Explanation: 10/2 =5 4/2=2 6/2=3

5x2=10 10x3=30 in!

The principal at mcdermott middle school is planning to survey students at his school, but only wants the survey to contain statistical questions. the following list contains survey questions that he is considering.

determine whether each question is a statistical question. type "yes" or "no" to indicate whether or not it is a statistical question.

what is the school's mascot?

how many minutes long is third period?

how many clubs do you participate in?

how many electives do you want to take next year?

Answers

what is the school's mascot? no

how many minutes long is third period? no

how many clubs do you participate in? yes

how many electives do you want to take next year? yes

100 points
The ratio of students polled in 6th grade who prefer lemonade to iced tea is 8:4. If there were 39 students in 6th grade polled, explain how to find the number of students that prefer lemonade and the number of students that prefer iced tea using a ratio table. If you wish, you may upload a copy of your ratio table.

Answers

Answer:

Step-by-step explanation:

So, the total unit number of sixth graders polled is 12.

39/12=3.25

So, you'd do 8x3.25=26 students like lemonade

13 students like iced tea

Determine whether the infinite geometric series converges or diverges. If it converges, find the sum, and if it diverges then explain why.

48 + 36 + 27 + 81/4 + ...​

Answers

Geometric series means

|r|<1

Lets spot out common ratio

36/48=3/427/36=3/4

Its less than 1

Hence series converges

Sum:-

a/1-r48/(1-3/4)48/1/4192

Answer:

Series converges

Sum = 192

Step-by-step explanation:

General form of geometric series:   [tex]a_n=ar^{n-1}[/tex]

where:

a is the initial termr is the common ratio

Given series:  48, 36, 27, 81/4, ...

[tex]\implies a = 48[/tex]

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{36}{48}=\dfrac34[/tex]

Geometric series converges when |r| < 1

Geometric series diverges when |r| ≥ 1

[tex]\textsf{As }r=\dfrac34\ \implies|\dfrac34| < 1\:\implies\:\textsf{series converges}[/tex]

Sum of an infinite geometric series:

[tex]S_\infty=\dfrac{a}{1-r}\quad\textsf{for}\:|r| < 1[/tex]

Substituting values of a and r:

[tex]\implies S_\infty=\dfrac{48}{1-\frac34}=192[/tex]

F(x)=3x^4-2x^3-12x^2-x; k=4

Answers

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU

Answers

Step-by-step explanation:

Q = msdt

or, 940 = m* 0.780* 15

or, 940 = 11.7m

or, 940/11.7 = m

m = 80.341

Therefore the mass of the metal is 80.341g.

Help
Solve the quadratic equation by any means. Identify the method and complete the explanation of why you chose it. Irrational answers may be left in radical form.

5x2 + 16x + 3 = 0

Part a: factoring
Completing the swuares

Taking the square roots
Which one


Part b:

Why:
There are not many factors to check
It is not factorable
B is = to zero


Answers

Answer:

Factoring: [tex]x = -\frac{1}{5}, -3[/tex]

Step-by-step explanation:

A) You can factor the expression [tex]5x^2 + 16x + 3[/tex] into [tex](5x+1)(x+3)[/tex].

5x + 1 = 0 and x + 3 = 0

[tex]x = -\frac{1}{5}, -3[/tex]

B) I would use factoring because you can factor this expression, and you don't have to use completing the square

all included in the picture​

Answers

Answer:

(-4,3)

Step-by-step explanation:

Answer:

Option 1 :  (-4,3)

Step-by-step explanation:

When doing coordinates we always go across first the up or down.

Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.

Therefore our answer must be (-4,3)

Jared lost a total of $96 over the last 12 months. What integer represents the mean number of dollars lost each month?

Answers

Answer:

-8

Step-by-step explanation:

To find mean, average, divide.

-96/12

-8

Answer is -8
Hope this helps

It’s easy yk bro i just need some helpp with it

Answers

Hey, what do you need help with lol

Answer:

I think you need to link a picture or something

Step-by-step explanation:

what is an equation of the line that passes through the points (3,0) and (-6,-3)

Answers

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

What is the distance between (-2, - 4) and (-2, – 8) ?

O 2 units
O 4 units
0 12 units
O I don't know.

Answers

4 units

hope it helps...!!!

Answer:4 units

8-4=4 wham bam yes ma'am

Step-by-step explanation:

Mason has a map of Alabama that measures 3/4 meter wide and 7/8 meter long . What is the area in square meters of mason map

Answers

[tex]\sf\large\underline{\star Given:-}[/tex]

[tex]\rightarrow[/tex] Length(l) of map = [tex]\sf\red{\frac{7}{8}m.}[/tex]

[tex]\rightarrow[/tex] Width(w) of map = [tex]\sf\red{\frac{3}{4}m.}[/tex]

[tex]\sf\large\underline{\star To \: Find:-}[/tex]

[tex]\rightarrow[/tex] Area of map.

[tex]\sf\large\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] From the above given dimensions we can conclude that map is in the shape of rectangle. So, we can find the area of map by using the formula: [tex]\sf\blue{Length×Width}[/tex]

So, let's begin

[tex]\rightarrow[/tex] Area of rectangular map = [tex]\sf{Length×Width}[/tex](putting the value of length and width from the above given)

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{7}{8}×\frac{3}{4}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{=\:\frac{21}{32}m^2}[/tex] Or,

[tex]\rightarrow[/tex][tex]\sf{=\: 0.65m^2}[/tex]

Therefore the area of the Mason map [tex]\sf\purple{=\: 0.65m^2}[/tex]or [tex]\sf\purple{\frac{21}{32}m^2}[/tex]

________________________________

Hope it helps you:)

Find the volume of the figure. If necessary, round your answer to the nearest tenth.

Answer choices
A: 441.6 cm^3
B: 883.2 cm^3
C: 147.2 cm^3

Answers

Here is the answer and explanation I wrote:

Answer:

A

Step-by-step explanation

math

Write in standard form 8,00,000 + 60,000 + 3,000 + 400 +30 + 2 = ​

Answers

Answer:

863432

Step-by-step explanation:

Add all numbers You will get answer

Answer:

863432.00

Step-by-step explanation:

800000

60000

3000

400

30

2

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

863432

_______

6 diviided by 27 and 7 divided by 50

Answers

Answer:

the first one is 0.2222222222... the second is 0.14

6 : 27

Fraction : [tex]\frac{6}{27} = \frac{2}{9}[/tex]
Decimals : 0.(2) = 0.222222222222....
Percentage : 22.2222...%

7 : 50

Fraction : [tex]\frac{7}{50}[/tex]
Decimals : 0.14
Percentage : 14%

Which one is it
(1, 100)


(3, 49)


(4, 50)


(2, 74)

Answers

Answer:

(1, 100) » First one

(3, 49) » Third one

(4, 50) » Forth one

(2, 74) » Second one

Step-by-step explanation:

[tex]{}[/tex]

It the first one due to it being the highest point it used the most energy
(1,100)

Two triangles are similar. The sides of the first triangle are 8, 9, and 12. The smallest side
of the second triangle is 10. Find the other two side lengths.

Answers

Answer:

10,11.25,15

Step-by-step explanation:

we use linear scale factor you had mentioned that the triangles are similar so the smallest side in the first triangle is 8 and in tje other triangle it is 10

those two sides are equal which means 8 is equal to ten so if 8 is equal to 10 what about 9.if you cross multiply you get 11.25 then you do the same for 12 and get 15

8=10

9=11.25

12=15

How does a geometric construction differ from a drawing?

Answers

Answer:

Constructing geometric figures means with the help of a compass, protractor and a scale with accurate measurement.

Drawing may just be drawing rough figures with no accurate measurement

Answer:

When you are constructing, you use tools like a compass, ruler, and protractor vs when you draw you don't use a tool, you free hand it.

Step-by-step explanation:

A geometric construction is a set of steps to create geometric figures using just a straightedge and a compass without using formal measurements; whereas a drawing can use any tool.

Write an equation in slope intercept for for the like with slope -3/5 and
y-intercept -3

Answers

Answer:

An equation for the slope and y-intercept would be y=-3/5x-3

Step-by-step explanation:

Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.

Answer:

y = -3/5x - 3

Explanation:

The format of slope-intercept is:

[tex]\sf{y = mx + b}[/tex]

Where:

m = slopeb = y-intercept

So to write the equation, I just plug the data into y = mx + b:

[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]

Hence, the equation is y = -3/5x - 3.

please find the area

Answers

the answer is 70.2 ft because u add them all together

Answer:

the area is 243

see the photo

Find the supplement of an angle that measures 20 degrees.

Answers

Supplementary angles add to be 180 degrees. If one angle is 20. The supplement angle is 160.
180 - 20 = 160
160 is your answer.

Find the area of the parallelogram

Answers

Answer:

A = 3484 ft²

Step-by-step explanation:

Area of a parallelogram is given by the formula:

A = bh (where b is the base length and h is the vertical height)

Substituting values given in the diagram gives us:

A = 67×52

A = 3484

Units will be ft² since it is area.

So our final answer is 3484 ft²
Brainliest if this helped and I hope you find the rest of your homework or task easy.

If ABCD is dilated by a factor of 1/2, the coordinate of D' would be:

Answers

Answer:

D'=(1,-1)

Step-by-step explanation:

If you dialate by 1/2 then all you have to do, is find half of point D. so point D sits at (2,-2) and half of 2 would be (1,-1).

The dilated coordinates of D(2,-2) = D'(1,-1).

What is dilation?

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

From the graph,

we interpreted the coordinates of D (2,-2).

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

To find the dilation of transformation

The basic formula to find the scale factor of a dilated figure is:

Scale factor = coordinates of the new shape ÷ coordinates of the original              shape.

That means,

multiply the factor to the coordinates.

D' = (2 x 1/2, -2 x 1/2)

D' = (1, -1)

Therefore, the coordinates after the dilation D' (1,-1).

To learn more about the dilation in geometry;

https://brainly.com/question/10713409

#SPJ2


A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?

Answers

Answer:

-685

Step-by-step explanation:

hope I helped

The submarine ascends back up to -685 feet

I really need help . It’s the second part of the eqaution that confuses me .

Answers

18+6=24
10x2= 20

Answer: 5^24 / 5^20 = 5^ 4

Answer:

The answer is 5^4

Step-by-step explanation:

You are given the expression 5^18 times 5^6 while all over (5^10)^2

First, let's simplify the numerator

Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers

Keep the base the same and 18 and 6 together

So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴

you have 5²⁴ in the numerator

now let's work on simplifying the denominator

Whenever you have number that has a power and is taken to another power, you multiply the powers

We call this the power of the power rule

So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰

Now the denominator is 5^20

We have 5^24/5^20

Now you just subtract the powers 24-20=4

And you get 5^4

Hope this helps

Mrs. Hynes gave each of her 8
students 3 pieces of candy. She
gave 1 student 2 extra pieces for
good behavior. How many pieces of
candy did she
give away in all?
PLEASE HELP and show work too please

Answers

26 pieces of candy were given away
26 pieces candy Were given
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