What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?

Answers

Answer 1

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5


Related Questions

Para que con exactitud se pueda poner líquido en dos tambos de 60 y 90 litros, respectivamente, ¿Cuál es la capacidad máxima en litros que debe tener el recipiente a utilizar? *​

Answers

Answer:

No estoy muy seguro de esta pregunta principalmente porque tuve que traducirlo del español al inglés, pero creo que el toldo es de 120 litros. Avísame si me equivoco

Step-by-step explanation:

Esto se debe a que 60 litros es el máximo que puede aguantar el más pequeño por lo que para poner 60 litros en cada uno debes tener 120 litros en total.

127% of 1958?
there's nothing else for the question so I'm just typing out this lol

Answers

127/100 multiply with 1958. Punch oh in calculator, you will definitely get the answer.
Hope it helps!

Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?

Answers

Answer:

$ 24.75

Step-by-step explanation:

10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)

(27.50)(10)/100 (cross multiply)

= $2.75 (tax)

27.50 - 2.75 = $ 24.75

oliver sewed a quilt 3 2/3 feet long and 2 1/4 feet wide. what is the area of her quilt?

Answers

Answer:

8.25 feet

Step-by-step explanation:

3 2/3 times 2 1/4 equals 8.25

May I ask what’s this answer?
I wasn’t in class today:(

Answers

Answer:

Top box: 15

Bottom box: 480

Answer:

[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]

Explanation:

For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.

5 * 3 = 15.

Then just reverse the process

A mechanic charges a flat fee of $30 plus $25 an hour for labor. Which equation can be used to determine how many hours, 1, the mechanic spends working on a
particular job if the total amount earned is T dollars?

Answers

T = 25x + 30. Where 25 is the charge per hour x is # of hours and 30 is the flat fee only charged 1 time.


Here are the two triangles from the previous screen,
along with the length you entered for XY.
What is the slope of the line?
[_________] Submit and Explain

Answers

Answer:

the slope is 1/2

Step-by-step explanation:

I picked two points (the two from the purple triangle) and I did the rise over run. The rise was 3 and the run was 6 so the slope is 3/6 but when you simplify it, it goes down to 1/2

Evaluate 5x2 + 2(4x - 7) – 8x for x = 3. Show your work.

Answers

Answer:

31

Step-by-step explanation:

5x^2 + 2(4x - 7) - 8x =

5 * 3^2 + 2(4*3 -7) - 8*3 =

5 * 9 + 2(12-7) - 24 =

45 + 2 * 5 - 24 =

45 + 10 - 24 =

55 - 24 =

31

May I please receive help?

Answers

Answer:

HG=7 , which would mean that HI =7 and KL = 6 so MK = 6

Answer:

HI = 7 and m ∠K = 100°

Step-by-step explanation:

In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are =  and the angles are equal.

So HI = 7

In Δ KLJ, two sides are equal.  If two sides of a triangle are equal then the angles opposite those sides are equal.

Now  you know that m ∠L = 40°.   In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°

Please help me solve this please

Answers

Answer:

rdinates (4,5),(8,2) named point z

Step-by-step explanation:

What is 5 1/4 x 4 1/5

Answers

Answer:

The answer to your question is 22 1/20

Answer: [tex]22\frac{1}{20}[/tex] or 22.05

Step-by-step explanation:

[tex]\frac{21}{4}[/tex] × [tex]\frac{21}{5}[/tex]

[tex]=\frac{441}{20}[/tex]

[tex]22\frac{1}{20}[/tex] or 22.05

please give me a brainliest answer

Someone plz help me :(

Answers

D.

I am so sorry if it is wrong

a few questions here sryy

An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.

(for the graph image)
write an equation for the given graph

T = d/14000
d = T/14000
14000 = T/d
T = 14000/d
T = 14000d

Answers

It takes 6 hours to reach the destination when traveling at 388 mph.

Speed is the ratio of total distance traveled to the total time taken It is given by:

Speed = distance/time

Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:

582 = distance / 4

distance = 2328 miles

If travelling at 388 mph, the time is:

388 = 2328 / time

time = 6 hours

Hence it takes 6 hours to reach the destination when traveling at 388 mph.

Find out more at: https://brainly.com/question/22610586

How Do i get the correct answer for this?

Answers

Simple way :-

If a function has co-ordinates (x,y) then it's inverse has co-ordinates (y,x)

Now

(0,4)->(4,0)(1,6)->(6,1)(2,8)->(8,2)(3,10)->(10,3)

Find the value of each variable. Please help! 25 points!

Answers

Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = [tex]\frac{7}{5}[/tex] = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1



Solve the system of equations using the substitution method.
x+y=6
x = 2y


Answers

y=2

if you substitute 2y in for x, you get 2y+1y=6. that is also 3y=6. 6 divided by 3 is 2 so y=2.

Answer:

x=4, y=2

Step-by-step explanation:

if x=2y just put 2y into the spot where x is for x+y=6

x+y=6

(2y) + y = 6

3y = 6

y = 2

now that I know y I can then replace y with the number 2

x= 2y

x = 2(2)

x= 4

What is the missing angle

Answers

55°

Step-by-step explanation:

110+15+x =180

x = 180 - 125

x = 55°

Answer:

Step-by-step explanation:

Someone help me this is due tm

Answers

Answer:a I think although I’m really tired

Step-by-step explanation:

AB=VB is the answer hope it helps btw hi

hey guys need help plese feeling like giving out mega points today

Answers

Answer:

The choice A.

Step-by-step explanation:

[tex] \frac{( \frac{a}{b} + 1) }{( \frac{b}{a} - 1) } \\ \\ \\ \frac{( \frac{a}{b} + \frac{b}{b}) }{( \frac{b}{a} - \frac{a}{a}) } = \frac{( \frac{a + b}{b}) }{( \frac{b - a}{a}) } \\ \\ \\ ( \frac{a + b}{b} ) \div ( \frac{b - a}{a} ) \\ \\ \\ (\frac{a + b}{b} ) \times ( \frac{a}{b - a} ) \\ \\ \\ = \frac{a(a + b)}{b(b - a)} [/tex]

I hope I helped you^_^

broborborogjdgjdsfjshfha

Answers

Answer:

waja

Step-by-step explanation:

᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼

Answer:

Not answerable

Step-by-step explanation:

What is the question?

THIS ABOUT TO BE OVERDUE PLS HELP ME

Answers

variable , constant, variable

What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?

Answers

Answer:

uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives

im kinda LayZai to do dis, help pleaseeeeeeeee

Answers

Answer: 2 hours 25 minutes

Step-by-step explanation:

Answer:

2 hours 25 minutes.

Step-by-step explanation:

12:15pm-9:50am=2:25.

Pretty much it, hope this helps!

Factor completely: 8x^2-4x-4

Answers

Answer:

4(2x+1)(x−1)

Step-by-step explanation:

8x2−4x−4

8x2−4x−4

=4(2x+1)(x−1)


The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?

Answers

Answer:

434 sweatshirts were sold

Step-by-step explanation:

$2,170/$5 = 434

How do I solve for Y?

Answers

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19


Reflect Quadrilateral Hover both the x and y
axis.

just tell me the coordinates please and thank you so much

Answers

Answer:

(0,-7) (2,0) (7,0) (7,2)

Step-by-step explanation:

Answer please I appreciate it foo:)

Answers

Answer:

Your answer is the second one.

Step-by-step explanation:

All of the x's and y's match up.

Hope this helps!

What is the answer to 2 and 3?

Answers

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

What is the least common denominator (lcd) of 1/2 2/3

Answers

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

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