Write an equation in slope-intercept form for the line that passes through the point ( 2 , 3 ) and is perpendicular to the line − 5 x + 4 y = − 3 .

Answers

Answer 1

The slope of a line in standard equation will be [tex]\frac{-A}{B}[/tex]

[tex]m=\frac{5}{4}[/tex]

The slope of a perpendicular line to this line will be opposite and reciprocal.

[tex]m=-\frac{4}{5}[/tex]

Then, we can plug in the point given to get the [tex]b[/tex] value.

[tex]3=-\frac{4}{5}(2)+b[/tex]

[tex]3=-\frac{8}{5}+b[/tex]

[tex]b=\frac{23}{5}[/tex]

[tex]y=-\frac{4}{5}x+\frac{23}{5}[/tex]

Hope this helps.

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Related Questions

12,333 to the nearest hundred

Answers

Your answer is: 12.33
Have a nice day!

Answer: 12,300

Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.

Simply: -6 + (-1)

(7th grade math) I’m in 7th PLEASE HELP!

Answers

The answer is -7. Same sign add, keep the common sign! Different sign subtract, keep the sign of the bigger number!

Answer:

-7

Step-by-step explanation:

i think it would be -7

Can I please get some help

Answers

the second choice and the third choice

Answer:

GHK and H

Step-by-step explanation:

what decimal or fraction goes in the box

Answers

Answer:

Your answer would be 7.

Step-by-step explanation:

Hope I helped!!!

You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled
using the function (0) - ** - 3x' . dx - 6, where x is the number of stops the bus makos. If the bus makes 2 stops after you board, how long does it take you to get to
school?

Answers

Answer:

7 minutes

Step-by-step explanation:

if dm=50 what ia the value of r?

Answers

Answer:

r = 15

Step-by-step explanation:

Line segments DG and GM add up to DM:

r + 3 + 4r - 28 = 50

5r - 25 = 50

5r = 75

r = 15

Answer:

15

Step-by-step explanation:

Given:

DG = r + 3GM = 4r - 28DM = 50r = ?

Solution:

DM = DG + GMr + 3 + 4r - 28 = 505r - 25 = 505r = 50 + 255r = 75r = 75/5r = 15

A scale drawing of a house shows 9cm
x10cm. If 6cm=12 ft, what are the actual
dimensions?

Answers

Answer:

what the answer is b

Step-by-step explanation:

hope this helped

Ann, Emily, and Bob collect stickers. They have a total of 70 stickers in the ratio 2:3:5, respectively. How many stickers does each child have?

Answers

Answer:

The stickers are divided by groups of

2/10, 3/10 and 5/10

2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

Point M is the midpoint of FG. Can the value of variable a be determined? Explain F(b+1, a+2). M(3,5). G(2a, 3b+3)

Answers

Answer:

YES, the value of a is 2

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can get the value of a and b as shown;

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1

Similarly, for the Y coordinate;

5 = a+2+3b+3/2

10 =  a+2+3b+3

a+3b = 10-2-3

a+3b = 5 ........ 2

Solving equation 1 and 2 simulatneously using elimination method

2a+b = 5 ............... 1 * 1

a+3b = 5 ........ 2 * 2

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

2a+b = 5 ...........3

2a +6b = 10.......... 4

subtract 3 from 4

b - 6b = 5-10

-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 2 to get a;

a + 3b = 5

a + 3(1) = 5

a = 5-3

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

To determine the value of​ a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Robert came in first for threefourths_large of his races. Express this fraction as a decimal. (1 point) 0.75 0.7 7.5 1.33

Answers

Answer:0.75 just divide us top number by bottom ez

Step-by-step explanation:

help me, i will give a lot of points for this

Answers

For a singular do one thing or person and plural is more than one

I NEED HELP FAST

Hawaiian monk seals dives to a dept of -4.13 meters. By how many meters does it need to change his position to get back to sea level?

Answers

Answer:

45

Step-by-step explanation:

In Yakuna it was -13 degrees in the morning. The highest tempature was 29. Was was the total number the temp. increased

Answers

Answer:

42 degrees

Step-by-step explanation:

Use a number line.

-13 - 13 = 0.

Now, we are at the base, 0. Then, add 29.

13 + 29 + 42.

The answer is 42. Hope it helps!

Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.

Someone alr told me the was $19 but I NEED the equation part

Answers

Answer:

B= Bill's money

T= Ted's money

B+T=32

T+6=B

Step-by-step explanation:

If you rearrange the first equation you get:

B=32-T

You can then substitute the B in that equation with T+6:

T+6=32-T

combine like terms to get T:

2T+6=32

2T=26

T=13

Then plug in 13 for T in either of the first equations to get B:

13+6=B

19=B

Answer:

Bill has 19$

Step-by-step explanation:

Bill = b

Ted = t

b = t + 6$

b - t = 6$------equation 1

b + t = 32$------equation 2

(equation 1 - equation 2)

(b - b) + (-t - t) = 6 - 32

0 - 2t = -26

-2t = -26

t = -26/-2

t = -26/-2

t= 13$

(put t = 13$ in equation 1)

b - (13) = 6

b - 13 = 6

b = 6 + 13

b = 19$ (Bill = 19$)

y=x ^2+3 A) translate 3 units right B) translate 3 units right C) translate 3 units up D) translate 3 units down

Answers

Answer:

translate 3 units up


Is the answer A B C D or E

Answers

C AND D r ur answers

Answer:

i think it might be D

solve the question x/-4 = 3/4 so 'x' is equal to?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{x}{ - 4} = \frac{3}{4} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}[/tex]

[tex] \dashrightarrow{ \sf{4x = - 12}}[/tex] ( Multiplying a positive integer and negative integer gives a negative integer )

Divide both sides of the equation by 4

[tex] \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = - 3}}[/tex]

Hope I helped!

Best regards! :D

Liam wants to buy a lead for his guitar.
It must be longer than 7.59 m.
Lead Type Length
Lead A
7.5 m
Lead B
7.8 m
Lead C
8.3 m
Lead D
0.75 m

Answers

Answer:

B: 7.8m

Step-by-step explanation:

7.8m is 21cm more than 7.59m so it is close.

8.3 meters would be a bit too long for his lead.

Calculus (2) Master Needed to show steps of evaluating the integral b=0, a= pi/2 :[tex]\int\limits^a_b {(t^2-3t)sint} \, dt[/tex] I get stuck after applying integration by parts and simplified the negative, I get [tex](t^2-3t)*-cost |\frac{\pi /2}{0} + \int\limits^a_b {cost * (t-3)} \, dt[/tex] what am I supposed to do at this stage? Or did I do it wrong? Step by step is needed!

Answers

Answer:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin t\, dt = \pi -5[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt[/tex]

Since this is a product of two functions, we can use Integration by Parts. Recall that:

[tex]\displaystyle \int u\, dv = uv - \int v\, du[/tex]

Let u be t² - 3t and let dv be sin(t).

Thus:

[tex]du = 2t - 3\, dt[/tex]

And:

[tex]\displaystyle v = \int \sin t\, dt = - \cos t[/tex]

So:

[tex]\displaystyle =\left(-\cos t\right)\left(t^2-3t\right)\Bigg|_0^{\pi/2}-\int_{0}^{\pi/2} \left(-\cos t\right)\left(2t-3\right)\, dt[/tex]

Simplify:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_{0}^{\pi /2}+\int\limits^{\pi/2}_ {0} \,\cos(t)(2t-3)\, dt[/tex]

We can use IBP once more.

Let u be 2t - 3 and let dv be cos(t). Therefore:

[tex]du = 2\, dt[/tex]

And:

[tex]\displaystyle v = \int \cos t\, dt = \sin t[/tex]

So:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_0^{\pi/2}+\left(\sin(t)(2t-3)\Bigg|_0^{\pi /2}-\int\limits^{\pi/2}_0 \, 2\sin(t)dt \right)[/tex]

Evaluate:

[tex]\displaystyle =-\left(\cos t\right)(t^2-3t)+\sin(t)(2t-3)+2\cos(t)\Bigg|_0^{\pi /2}[/tex]

Evaluate the first section:

[tex]\displaystyle \begin{aligned} &= -\cos\left(\frac{\pi}{2}\right)\left(\left(\frac{\pi}{2}\right)^2-3\left(\frac{\pi}{2}\right)\right)+\sin\left(\frac{\pi}{2}\right)\left(2\left(\frac{\pi}{2}\right)-3\right)+2\cos \left(\frac{\pi}{2}\right)\right) \\ \\ &= (0) + (1)(\pi -3) + (0) \\ \\ &= \pi -3 \end{aligned}[/tex]

And the second:

[tex]\displaystyle \begin{aligned} &= -\cos(0)((0)^2-3(0))+(\sin(0))(2(0)-3)+2\cos(0 ) \\ \\&=(0)+(0)+(2) \\ \\ &= 2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt = (\pi -3) -(2) = \pi -5[/tex]

9/8m - 1/6m = -4 - 11/3

Answers

Answer:

m=-8

Step-by-step explanation:

im assuming the equation is: [tex]\frac{9}{8} m-\frac{1}{6} m=-4-\frac{11}{3}[/tex]

find common denominators i choose 24

9/8 = 27/24

1/6 = 4/24

11/3 = 88/24

4 = 96/24

now start solving:

(Note that because denominators are the same you can just ignore them and focus on the numerator)

simplify (27/24)m - (4/24)m to (23/24)m

simplify -(96/24) - (88/24) to -184/24

now you are left with 23/24 m = -184/24

get rid of denominators 23m=-184

Divide -184 by 23 to get m= -8

there are five united states athletes, four russian athletes, three french athletes, and one german athlete. How many rankings of the 13 athletes are there

Answers

Answer:

There are 6227020800  possible rankings

Step-by-step explanation:

Given

[tex]Athletes= 13[/tex]

Required

Number of Rankings

Let the number of athletes be n;

Since each athlete can only take one position at any given instance, the number of rankings is [tex]n![/tex]

Where [tex]n = 13[/tex]

Substitute 13 for n

[tex]13! = 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 *3 * 2 *1[/tex]

[tex]13! = 6227020800[/tex]

Hence, there are 6227020800  possible rankings

A student puts $250 into an account that pays 2% simple interest every year. How much
money in total is in their account after 3 years?

Answers

$250 x 1.02^3 = 265.302.

Total money in their account after 3 years = $265.30

select the decimal that is equivalent to 29/37

Answers

Answer:

I googled it and it said that 29/37 as a decimal was 0.783783784

The required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

An equivalent expression, equivalent to 29/37 is to determine.

What is a recurring decimal?

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Given fraction,
= 28/37
when dividing 28 by 37 the outcome is
= 0.783783783783.......
The above expression is a recurring decimal it can be transformed as [tex]0.\bar7\bar8\bar3[/tex] where the bars over the number show the repeating digits.

Thus, the required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

More information about recurring decimal check it out here:
https://brainly.com/question/820308

#SPJ5

pls pls help meee Provide the missing reasons for the proof.

Answers

Answer:

b. common sides

c. from statement a and b

d. from statement c

f. from statement e

g. by SAS axiom

h. from statement g

I don't know so please help

Answers

The answer is 10 because 6 times 9 is 63 and 63 times 10 is 630.

Including a 5% sales tax, an inn charges $160.65 per night. Find the inn's nightly cost before tax is added

Answers

Answer:

$80.12

Step-by-step explanation:

Step 1:

$160.65 × 0.5

Answer:

$80.12

Hope This Helps :)

Answer:

160.65*0.05-8.0325

160.65-8.0325=152.6175 so $152.62

Step-by-step explanation:

answer the following please answer! i'll mark brainliest!

Answers

Answer:

0.2x+1???

Step-by-step explanation:

2x/3x+1=-3

-3=2x/3x+1

-3 x 3x + 1

-9x + 1

2x/-9x+1

0.2x+1

what is equivalent to 48+12.

Answers

Answer:

60

Step-by-step explanation:

x=48+12 Find what x is

x=60 X is 60

What numbers is 90 divisble by

Answers

90 tiene 12 divisores:

1; 2; 3; 5; 6; 9; 10; 15; 18; 30; 45; 90

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; 10\, \;\ \\ $ } }\\[/tex]

Step-by-step explanation:

What numbers are divisible by 90?

For this question, there are more than 1 answer. I am doing the number 10 because it is easier.

I have attached an image. You will have to turn the image because it was taken from mobile.

Hope this helps!

What are the coordinates of point B on AC such that the ratio of AB to AC is 1:3

Answers

Answer:

B) (2/3, 3 2/3)

Step-by-step explanation:

I think whoever write this problem thought the distance from A to C was 10.  It’s not.  It’s 10.77. (See below). But following what they did, the answer must be B) (2/3, 3 2/3)

First, find the distance from A to C.

4²+10²=c²

16+100=c²

116=c²

c=√116

10=10.77

The coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

What is a segment bisector?

A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.

It is given that:

The line segment shown in the picture is in the ratio of AB to AC is 1:3

AB : AC = 1 : 3

m : n = 1 : 3

The coordinate of point A is (2, 7)

The coordinate of point C is (-2, -3)

Let the coordinate of the point B is (x, y)

m = 1

n = 2

x1 = 2

x2 = -2

y1 = 7

y2 = -3

x = (-2+4)/3

x = 2/3

y = (-3+14)/3

y =11/3

y = 3 2/3

B = (x, y) = (2/3, 3 2/3)

Thus, the coordinates of point B on AC such that the ratio of AB to AC is 1:3 is (2/3, 3 2/3) option (B) is correct.

The options are:

A. (1/3, 2 5/6)

B. (2/3, 3 2/3)

C. (-2/3, 1 1/6)

D. (-2/3, 1/3)

Learn more about the segment bisector here:

brainly.com/question/4137998

#SPJ2

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