What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?


Answers

Answer 1

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21


Related Questions

Please help me with this and explain

Answers

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

help me now asap please

Answers

Answer:

C

Step-by-step explanation:

Let's first convert both Brooke's time and Lamont's time into the same unit so that we can more easily compare them. To make it simpler, we'll convert both times into minutes.

Brooke: 1 hr 45 min

We know that there are 60 minutes in 1 hour, so we essentially have:

60 min and 45 min  ⇒  60 + 45 = 105 min

Lamont: 115 min

This is already in minutes, so we don't have to do anything to it.

We now have 105 minutes for Brooke and 115 minutes for Lamont. Let's compare:

- Since we know Brooke took 105 minutes, we can eliminate A and B.

- Clearly, 105 < 115, which means Brooke took less time that Lamont to finish the race

- If Brooke took less time, that means she's faster.

Thus, the answer is C.

~ an aesthetics lover

Answer:

Time taken by Brooke = 1h 45min

= 60min + 45min

= 105min

Time taken by Lamont = 115min

Brooke finished in 105min, so she was faster.

Option 3 is correct.

the circumference of a circle is 125.6m find its radius ​

Answers

Step-by-step explanation:

we have,

Circumference of Circle (C) = 2πr

or, 125.6 = 2πr

or, r = 125.6/2π

Ans: r = 19.9898 ~ 20 m

help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .

Answers

Answer:

x = 9/4

Step-by-step explanation:

Since the x coordinates are the same, it is a veritcal line with x = 9/4

Maureen worked 48 hours last week. Her hourly rate is $8.00. How much did she earn in overtime pay?

Answers

1 hour = $8.00

48 hours = $8 x 48

48 hours = $384

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

Answer: $384

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


The formulae for kinetic energy is E =-mv2.

Find the value of E when m= 900 and v=1.3,

Answers

Answer: ΔKE = 760.5 Joules

Step-by-step explanation:

Isnt the formula for ΔKE = 0.5m*v^2???

Im not going to use that formula you gave me, its wrong.

900/2 = 450

1.3^2 = 1.69

450 x 1.69 = 760.5 Jules

This is also the wrong subject btw

I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!

Answers

Answer:

188.5 cm^2

Step-by-step explanation:

a) Your volume is correct.

b) The curved surface area of the cone is called the lateral area.

Its formula is:

LA = (pi)rs,

where pi is 3.14159...

r = radius of the base

s = slant height of the cone

Here, r = 6 cm, and s = 10 cm

LA = (3.14159)(6 cm)(10 cm)

LA = 188.5 cm^2

Solve the two-step equation. 3 4 (x) − 1.72 = −6.82 1. The first step is to on both sides. 2. The second step is to on both sides. The solution is x = .

Answers

Answer:

1. The first step is to  add 1.72  on both sides.

2. The second step is to  multiply by 4/3  on both sides.

3. The solution is x =  -6.8

Step-by-step explanation:

EDGE 2020

The value of x in the the two-step equation is -6.80.

What is the value of x in the equation?

In order to determine the value of x, take the following steps:

The first step is to combine similar terms together:

3/4x = -6.821 + 1.72

Add similar terms

3/4x = -5.101

Divide both sides of the equation by 4/3

x = -6.80

To learn more about division, please check: https://brainly.com/question/13281206

Solving for an Unknown Using the Distributive Pro
180(n - 2)/n
when the equation is solved for n, n is equal to a fraction with a denominator
help

Answers

Answer:

180(n - 2)/n=m

mn= 180(n-2)

180n-mn= 360

n*(180-m)=360

n=360/(180-m)

John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. How much was the error in his estimate? Error = (Approximate value) − (Exact value) -$175 -$25 $25 $175

Answers

Answer:

The error of his estimate was $25.

Step-by-step explanation:

The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:

[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]

The error of his estimate was $25.

Answer:

C

Step-by-step explanation:

i got itright

simplify this expression

Answers

Answer:

option 4

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]

Given

(2 - 5[tex]\sqrt{6}[/tex] ) 3[tex]\sqrt{2}[/tex] ← distribute parenthesis by 3[tex]\sqrt{2}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{12}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15[tex]\sqrt{4(3)}[/tex]

= 6[tex]\sqrt{2}[/tex] - 15([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 15(2[tex]\sqrt{3}[/tex] )

= 6[tex]\sqrt{2}[/tex] - 30[tex]\sqrt{3}[/tex]

If 4u-5v=23 and 2u+4v=-8, find the value of u+v

Answers

Answer:

-1

Step-by-step explanation:

4u-5v=23

-2(2u+4v=16) We multiply by -2 here to destroy u's.

4u-5v=23

-4u-8v=16 we addition both processes

-13v=39 so, v=-3

4u-5(-3)=23, 4u=8 so, u=2

u+v= -3+2= -1

Please Help ASAP!
Select the situations that represent a function. (A,B,C,D)

Answers

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J

Answers

Answer:

[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]

Then coordinates of point  P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Take [tex]m:n=3:5[/tex]

So,

coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Answer:

The answer is (40,96), hope it helps :)

the slope of the line below is -2. which of the following is the point-slope form of the line? 4, -8

Answers

Answer:

D

Step-by-step explanation:

Point: (4,-8)

Slope: -2

y-y1=m(x-x1)

y+8=-2(x-4)

Can someone please help me :(

Answers

Answer:

Step-by-step explanation:

ok its AAS because if you see the most aperent thing on the trangle is that

Answer:

AAS

Step-by-step explanation:

The two triangles are congruent because they have two equal angles and one side

Evaluate 3z when z=9

Answers

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.

Answers

Answer:

average

Step-by-step explanation:

The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.

Calculate the following combinations

Answers

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

could someone please help with these three? I got a few minutes left and I'm clueless IM IN NEED OF HELP!!

Answers

Answer:

Student 1 has the correct answer

Student 2 started of OK but then divides the number of white marbles by the number of non-white marbles, which is incorrect.

Student 3 reports a probability larger than 1 which is impossible. Also the answer is not in percentages.

What is the solution to the system of equations below?
2x-y= 10 and y=-
--3x+5
(6,2)
(6,-2)
(-6, -22)
(-6,8)

Answers

(6,2) because X would equals 6 multiplied by 2 equals 12. Now minus 2 and that gives you a equilibrium of 10

Use the quadratic formula to find both solutions to the quadratic equation given below

Answers

Answer:

C and D are correct: -1 and 0.5

Step-by-step explanation:

The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend

Answers

Answer:

$70.20

Step-by-step explanation:

We need to first find the cost per gallon of the gas.

The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:

40.50 / 15 = $2.70

You need to buy 26 gallons. The cost will be:

26 * 2.70 = $70.20

You will spend $70.20.

a recipe requires 3.5 teaspoons of sugar to make a tart which equation shows the number of teaspoons of sugar , y , needed to make x tarts?​

Answers

Answer: x = 3.5y

Step-by-step explanation:

3.5 teaspoons of sugar (y) per tart (x) would look like this

You multiply 3.5 by y to equal x divided by 3.5

x = 3.5y

The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *

Answers

Answer:

4 cm

Step-by-step explanation:

Given is an isosceles triangle. Therefore it's two sides will have equal lengths.

Let the length remaining sides be x cm.

[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]

Nearest hundredth
X2+2x+7=21

Answers

Step-by-step explanation:

subtract 21 from both sides

x2+2x+7-21=21-21

x2+2x+14=0

use quadratic equation

x=(-3+-(b^2-4ac)^1/2)/2a

in our equation a=1,b=2and c=14

(-2+-(14+56)^1/2)/2

x=-1+(60^1/2)/2

there is only one positive answer and it is 2.87

which two of the following is continuous data?

Answers

Answer:

B. Age of student

D. Time taken to run 1 mile

Step-by-step explanation:

From the list of given options, only B and D satisfy the required condition.

One unique determinant of continuous data is that; they are measured and not counted.

Now, let's categorize option A to D into two

1. Counted data

2. Measured data

Options that fall into the category of measured data are said to be continuous data.

A. Concert attendance; The number of people in a concert is counted

B. The age of a student is measured (in years)

C. Number of pens in a box is counted

D. Time taken to run 1 mile is measured (in units like seconds, minutes, hours, etc...)

In summary; we have

Counted

A. Concert Attendance

C. Number of pens in a box

Measured

B. Age of a student

D. Time taken to run 1 mile

Hence, the continuous data are Age of a student and Time taken to run 1 mile

Please help me with my question!!

Answers

Answer:

B

Step-by-step explanation:

When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.

6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!

Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11

Answers

Answer: j=8 and j=11

Explanation: 7(8) and 7(11) is equal to 56 and 77. 56 and 77 are both greater than 30. Therefore, the answer is j=8 and j=11.

What whole number does: 20/5represent?

Answers

Answer:

4

Step-by-step explanation:

20/5 = 4

Answer:

4

Step-by-step explanation:

cause 20/5 is 4 meaning it represents 4

Other Questions
list the 5 people who you believe were the most important and who made the biggest difference in the way that people looked at the world. Who is the president of Nigeria Which place is shown in the picture?. playaB. rulnasC. selvaD. ro A laptop producing company also produces laptop batteries, and claims that the batteries it produces power a laptop for about 4:00 hours. But, you doubted the claim and collected data from 500 laptop users of the same brand and battery, and you found out the battery powers the laptop for about 3:00 hours and 30 minutes. Considering an alpha of 0.05, prove the claim of the company is true or false or show whether you accept the companys claim or reject it? Please also write H0 and Ha statements for testing your hypothesis The core of the pyruvate dehydrogenase complex is made up of eight catalytic________that make up the_______component. a. monomers; E1b. dimers; E2c. dimers; E3d. trimers; E2 what cell structure is largely responsible for controlling the entry and exit of substances into or out of the cell? Name 4 examples of Tyranny Documents 5. Identify the type of figurative language in the sentence below (taken from Act I, Scene 1 of Romeo andJuliet).Friar Lawrence: "Then is it likely thou wilt undertake / Athing like death to chide away this shame..." 8. A 65.0 mL 0.513 mol/l solution of glucose (C6H1206) was mixed with 125.0 mL of2.33 mol/l glucose solution. What is the molar concentration of the final solution?Assume the volumes are additive. The molar mass of glucose is 180 g/mol (10points) Plot of the story about the safe house by sandra nicole roldan? Which two of these are continuous data? A four-year-old boy is playing by himself. He is pretending to be a doll's father and asks the doll if he wants to go outside and play ball after lunch. The classical theory of play that BEST explains this behavior is:__________. Which statement BEST describes how a golf club does "work" on a golf ball?(A) When the club hits the ball the club transfers all of its kinetic energy to the ball.(B) All of the kinetic energy from the club is transferred to the ball as they both move through the air.(C)Some of the kinetic energy from the golf club is transferred to the ball and some transforms into soundand heat, but the total energy remains the same.(D) The golf club loses kinetic energy when it hits the ball and the ball gains kinetic energy from the air as ittravels What is the equation of a line with a slope of -2 and passes through the point (6,8) Write an equation of the line containing the point (2,1) and perpendicular to the line 5x 2y = 3. During a classroom observation, you watched a teacher stop a girl who was running around the room and sent her to a chair for timeout. She sat down, watched and waited for about five minutes before the teacher came over and permitted her to go play. During your observation, you noticed the same teachers send two other children to the timeout chair. One child stayed for a few minutes and then left without permission, and the other child was forgotten. Respond to the following: A. How do I feel about the teacher's behavior? B. What strategies do I think would be appropriate? C. Was the teacher's action effective in guiding the children's behavior? read the passage from "Everyday Use," by Alice Walker. Then answerthe questionHow does Walker reveal Dee's character by describing her clothing?A. By using flashbackB. By using symbolismC. By changing the toneD. By foreshadowing events to come g You run a regression analysis on a bivariate set of data ( n = 14 ). With x = 27.7 and y = 26.5 , you obtain the regression equation y = 0.495 x 14.914 with a correlation coefficient of r = 0.39 . You want to predict what value (on average) for the response variable will be obtained from a value of 110 as the explanatory variable. What is the predicted response value? What is an equation of the line that passes through the point (8,-8) and isperpendicular to the line 4x 3y = 18? image In the figure, is the segment bisector of AB such that AP = 15x 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 73 D) 10