Consider the line y=5x-4

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

Answers

Answer 1

Answer:

slope of perpendicular line= -⅕

slope of parallel line= 5

Step-by-step explanation:

y= 5x -4

The equation is in the slope-intercept form, thus the slope is the coefficient of x.

Slope of given equation= 5

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Thus, the slope of the perpendicular line is -⅕.

Parallel lines have the same gradient.

Slope of parallel line= 5

What is slope-intercept form?

y= mx +c, where m is the slope and c is the y-interceptIn this form, the coefficient of y is 1, while all the other terms and constant is on the right hand side of the equation

Related Questions

6. One game system costs $238. How much will 4 game systems cost?

Answers

Answer:

Solution,

1 game cost $238

4 game cost = $238×4

= $952

I think it will help you.

Answer:

$952

Step-by-step explanation:

238×4

952

therefore 4 game system will cost $952.

RJ has two loans. Loan H has a nominal rate of 5.68%, compounded daily. Loan I has a nominal rate of 6.33%, compounded monthly. Which loan's effective rate had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan?
a.
Loan I’s increase was 0.03 percentage points greater than Loan H’s.
b.
Loan I’s increase was 0.68 percentage points greater than Loan H’s.
c.
Loan H’s increase was 0.16 percentage points greater than Loan I’s.
d.
Loan H’s increase was 0.49 percentage points greater than Loan I’s.

Answers

Answer:

The correct answer for this question is:

The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.

Step-by-step explanation:

Answer:

A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.

21​% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is​ (a) exactly​ two, (b) more than​ two, and​ (c) between two and​ five, inclusive.

Answers

Answer:

[tex]\left(a\right)\ 21.066\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(b\right)\ 66.872\\ \left(c\right)\ 81.567[/tex]

Step-by-step explanation:

[tex]\left(a\right)\ P\left(2\right)=C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(1-32)^{10-2}\\ =C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(68)^8=0.21066=21.066[/tex] [tex]percent[/tex]

[tex]cb)\ P(x > 2)=P(x\le2)=1-(P(x=0)+P(x=1)+P(x=2))\\ =1-C^{\begin{matrix}0\\10\\\end{matrix}}(0.32)degrees(0.68)^{10}-C^{\begin{matrix}1\\10\\\end{matrix}}(0.32)\prime(0.68)^9-C^{\begin{matrix}1\\0\\\end{matrix}}(008)(66)^9\\ =1-0.02114-0.09948-0.21066\\ =0.66872=66.872\\[/tex]

[tex](C)\ \ \ \ \ P(2\preccurlyeq[/tex] [tex]5)=P(2)+P(3)+P(4)+P(5)5)=P(2)+P(3)+P(4)+P(5)[/tex]

[tex]=C^{\begin{matrix}2\\10\\\end{matrix}}(0.32)^{)^2}\bullet(0.68)^3+C^{\begin{matrix}3\\10\\\end{matrix}}(0.32)^3\bullet(0.68)^7+C^{\begin{matrix}4\\10\\\end{matrix}}(0.32)^4\bullet(0.68)^6+C^{\begin{matrix}5\\10\\\end{matrix}}\bullet(0.32)^5\bullet(0.65)^5)[/tex]

[tex]=0.2186+0.26436+0.21771+0.12294\\ =0.81567=81.567 percent[/tex]

[tex](binomial\ distribution)[/tex]

I hope this helps you

:)

Susan has $65 in her savings account. Her friend coco has &119 in her savings account. Susan plans to add $23 per week. How many weeks until both friends have the same amount saved ?

Answers

Answer:

After 10 weeks, Susan will have $295 and CiCi will have $259.

Step-by-step explanation:

Susan: y= 65+23x

CiCi: y = 119+14x

65+23(6)=203

119+14(6)=203

After 6 weeks, Susan and CiCi will both have $203 in their accounts.

65+23(10)=295

119+(14)(10)=259

Therefore, After 10 weeks, Susan will have $295 and CiCi will have $259.

Angie's neighbor sells T-shirts. T-shirts usually cost $20.00. This week,
each shirt is on sale for 20% off, plus 13% tax.
Calculate the sale price of one T-shirt with tax.

Answers

Answer:

$18.08

Step-by-step explanation:

20% off = 20 x 0.8 = 16

plus tax = 16 x 1.13 = 18.08

Answer:

$18.08

Step-by-step explanation:

20% of $20.00 = 0.2 x 20 = $4

Therefore, the sale price of the t-shirt with 20% off = 20 - 4 = $16

If a sales tax of 13% is then applied, final sale price = 16 x 1.13 = $18.08

HELPP QUICK PLEASE please

Answers

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

[tex]\boxed{\boxed{\bold{Options~A~and~C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Question 7 of 10
What is the solution to this equation?
3(4x+3) = 2x - 5(3 - x) + 2
4
O A. x=-
15
10
O B. x=-22
O
5
O x-
O c. x - 22
15
O x
O D. x = -1
5

Answers

Answer:

Option B

Step-by-step explanation:

Given Equation :

[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]

Using distribute property:

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]

Adding the like terms we get :

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]

Transposing the variables on the right side and constant terms on the left side :

[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]

Dividing both sides by 5 :

[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]

[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]

Can someone please help me out?

Answers

Answer:

Step-by-step explanation:

Which of the following represents an exponential function? Select all that apply

Answers

Answer:

Option B and C are correct.

Step-by-step explanation:

The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.

The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.

The final graph represents a quadratic function rising on both ends.

Answer:

2 and 3 by my knowledge

Step-by-step explanation:

Simplify the expression to a polynomial in standard form: (4x-3)(3x^2-2x+1)

Somebody please help

Answers

Answer:

[tex] {12x}^{3} - 17x^{2} + 10x - 3[/tex]

If Jose earned 145.60 for 7 hours, how many hours would he have to work to earn $83.20?

Answers

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Fiona is planning on moving to Oregon for a new job. She calls a couple rental agencies to find out how much it will cost to rent a truck.
When she called the rental agency A New Beginning, they quoted her that renting truck will cost $40.00 plus $0.15 per mile. Write an equation that gives the cost C of driving the trucky miles. C = 40 + 0.15x b. When she called the rental agency To Infinity and Beyond they quoted her that renting a truck will cost $30.00 plus $0.35 per mile. Write an equation that gives the cost of driving the truck.x miles. C=30+0.35x, c. Graph both equations on the same graph., d. What is the point of intersection? Be sure to show work for finding the point of intersection and lobel it on the graph. e. Interpret the point of intersection. Tell us what it means in a complete sentence.​

Answers

Answer:

The intersection is at (50,47.50). At 50 miles the cost will be the same. After 50 miles the cost will continue to increase at a greater rate when using To Infinity and Beyond.

Z is the centroid of UVW

Z is the intersection of the triangle's ______

A. Medians
B. altitudes
C. angle bisectors
D. perpendicular bisectors

Answers

Answer: A

Step-by-step explanation:

The intersection point of the medians of a triangle is defined to be the centroid.

The solution is Option A.

The centroid of the triangle UVW is the intersection of the medians of the triangles

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as UVW

Now , the median of the triangle from U is given by

The measure of WY = The measure of YV

The median of the triangle from W is given by

The measure of UX = The measure of XV

And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians

So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle

Hence , the point Z is the intersection of the triangle's medians

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Brainliest if correct

Answers

Answer:

12 divided by 3 is 4

so multiply 1 by 4 and you get... 4

so now its 1/12+4/12 and that comes out to 5/12

Step-by-step explanation:

hope this helps :D

Does this represent a linear relationship or
exponential relationship?
Input Output
3 5
4 7
5 9
6 11


Answers

Answer:

It represents a linear relationship

Step-by-step explanation:

Linear relationship:

- constant change in x and y

Exponential relationship:

- constant change in x

- constant ratio of y

We see that 3, 4, 5, and 6 are a constant change in x as it's going up by +1.

It also has a constant change of y +2.

(-1, 2) is a solution to the following system:

equation image indicator
True
False

Answers

I think it’s true, let me know if it’s correct or wrong.

Help will be much appreciated...

Answers

Answer:

conclusion statement four sentences about you and exothermic heat was realised or absorbed it was changed beacsue positive 9r negative.

When x=5, the value of the expression 20/-25+x-2(x-10)is

Answers

The answer is -2.8 because I used P.E.M.D.A.S and that’s what it gave lol

Shoes sold at the Shoe Express are discounted 25% off the original price. If a pair of shoes originally cost $46, calculate the sale price of the shoes

Answers

Answer:

$34.50

Step-by-step explanation:

$46*.25 = $11.50

$46 - 11.50 = $34.50

Solution:

We know that:

Discounted price: Original price - (Original price × Discount)Original cost of a pair of shoes: $46Discount: 25%

This means that:

Sale price of a pair of shoes: 46 - (46 × 25%)

Step-1: Convert "25%" into a fraction.

25% = 25/100 = 1/4

Step-2: Find the discounted price.

Sale price of a pair of shoes: 46 - (46 × 1/4)Sale price of a pair of shoes: 46 - (23/2)Sale price of a pair of shoes: 46 - 11.5Sale price of a pair of shoes: $34.5

The function H
gives the height, above the ground, of a point on a spinning wheel. The function A gives the height of a point on a different spinning wheel and is defined by
A(t)=1.2H(3t). Here, t is time in seconds since the wheels started moving. How does the spinning wheel modeled by function A compare to the wheel for H
? Explain how you know.

Answers

The expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2.

Functional analysis for the model of the height of the wheel

The model of the height is represented by the following sinusoidal model:

[tex]H(3t) = D \cdot \sin [B(3t)+E][/tex] (1)

Where:

[tex]D[/tex] - Amplitude[tex]B[/tex] - Angular frequency[tex]E[/tex] - Phase angle

Then, the expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/22467963

Type the correct answer in each box.
Complete the statement, and find the value of xin the diagram.

The quadrilateral shown is a

X=

Answers

Answer:

Kite[tex]x=3[/tex]

I hope this helps you

:)


If we divide the polynomial P by the factor x - c and we
obtain the equation P(x) = (x – c)Q(x) + R(x), then we say
that x - c is the divisor, Q(x) is the
and R(x) is
the

Answers

Hello

Step-by-step explanation:

hello I'm Filipino people

Find the value of x, y and z. ​

Answers

Answer:

Step-by-step explanation:

Type the correct answer in the box

The value of the expression 23+32-3x4-52 divided by 5+(7x4) is

Answers

Answer:

50.2

Step-by-step explanation:

First we would do parenthesis and then exponents which they aren't

7 x 4=28

then we would do 3 x 4=12

52 divided by 5=10.4

23 + 32=55 - our 3 x 4

55 - 12=43

so 43 - 10.4=32.6-52 divided by 5

32.6 - 10.4 =22.2

And our last step what is 22.2 + 28=50.2

Hope this helps have a great day:)

You move up 5 units and down 3 units. You end at (2, 0). Where did you start?

Answers

Answer:

(0,0)

Step-by-step explanation:

Do the opposite. (2-5+3,0) is (0,0)

Can you help with this question I will give you 10 points

Answers

Answer:

The elevation of University Peak could be 14,464, which in between the two mountains.

Answer:

It's shorter than Mt. Massive but it's shorter than Mt. Alverstone.

The number between 14,500 and 14,428 is 14464, that would be a great guess

What is the height of the trapezoid?

Answers

Answer:

don't know just wanted my points you stole

Step-by-step explanation:

Find the value of x.

Answers

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

Suppose that y varies directly as the square root of X, and that y = 45 when x = 225. What is y when x = 127 Round your answer to two decimal places if
necessary

Answers

Answer:

y=381

Step-by-step explanation:

given: y=45  x=225

y=kx

45=k√(225)

45=k(15)

45=15k

45/15=15k/15

3=k

given: x=127  k=3

y=kx

y=3(127)

y=381

How can you calculate the area of the circle if know the circle’s circumference.

Answers

Answer:

dont cheat

Step-by-step explanation:

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