1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
3 years ago
7

K has the equation 2y + 3x – 5 = 0

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

The gradient of Line L = \frac{2}{3}

Step-by-step explanation:

<u><em>The equation for K is:</em></u>

=> 2y+3x-5 = 0

<u><em>Arranging it in the form of slope-intercept equation:</em></u>

=> y = -\frac{3}{2} x+\frac{5}{2}

Since, Line L is perpendicular to Line K, The gradient of it would be the negative reciprocal of this gradient and multiplying both gives the result of -1.

So,

The gradient of Line L = \frac{2}{3}

You might be interested in
HELP ME NOW PLEASE NOW ADGAFDKD;LHJ!!!!!!<br><br><br> PLEASE AND THANK YOU :)))))
Eddi Din [679]

I got D.

There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:

1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator

1 - .1131 - .2005 = .6864

Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.

7 0
3 years ago
A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t
Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Further explanation:

Given:

A local company rents a moving truck for \$ 750.

Rent per mile is \$ 0.59 if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is \$ 750 if he drove less than 1000 miles.

{\text{Cost}} = \$ 750{\text{   }}x \leqslant 1000

The rental cost of the truck can be expressed as follows,

{\text{Cost}} = 750 + 0.59x{\text{  }}x > 1000

The rental cost is at most \$1000.

750 + 0.59x \leqslant 1000

The maximum number of miles can be obtained as follows,

\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}

The maximum number of miles can be obtained as follows,

\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over  

3 0
3 years ago
Read 2 more answers
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
A silver ring has a volume of 3 cm- and a mass of 36 grams.<br>Find the density of the silver.​
siniylev [52]
M/V = D. 36g/3cm = 12
8 0
3 years ago
Summer exercises for 0.5 hour on Monday Wednesday and Friday each week. How many hours will she exercise in four weeks
Sati [7]

Answer:

She will exercise for 6 hours in four weeks.

Step-by-step explanation:

Summer exercises for 0.5 hour on Monday, 0.5 hour on Wednesday, and 0.5 hour on Friday. There are 3 days where she exercises for 0.5 hour.

3 days X 0.5h = 1.5h each week

For four weeks, multiply the hours each week by 4.

1.5h X 4 weeks = 6h

Therefore Summer will exercise for 6 hours over the course of 4 weeks.

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the simplest form of 2 sqrt 3/ sqrt 6
    12·2 answers
  • Which relation is a function?
    10·1 answer
  • Find the distance driven, if you drive at 60 mph for 3 1/2 hours. Round to the nearest whole mile.
    15·2 answers
  • What is the sum of a number n and 4 is no more than 13
    13·1 answer
  • Solve for x 1/3(x+1)+2x=2
    13·2 answers
  • Which statement is true about the points and planes?
    6·1 answer
  • Https://skribbl.io/?kX5sVzzk3Iui join skribble.io game
    15·2 answers
  • Find the product.<br><br> (3x^2+7)(6x^2−4x+5)
    15·2 answers
  • Tre has to pay $180 to book the recording studio plus $30 per hour of recording time. The function c(h)=30h+180 relates the tota
    9·1 answer
  • a submarine is 50 meters below sea level. It goes up 15 meters and down 40 meters. What is the submarines new position relative
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!