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

Which answer choice shows how to find 352 ÷ 16 using partial quotients? Find the quotient and the value that goes in the box in Step 2. Step 1: Subtract (20 × 16) from 352 to get 32. Step 2: Subtract (☐ × 16) from 32 to get 0. Step 3: Add to find the quotient. A. □ = 1; 352 ÷ 16 = 21 B. □ = 1; 352 ÷ 16 = 32 C. □ = 2; 352 ÷ 16 = 22 D. □ = 2; 352 ÷ 16 = 52

Answers

Partial quotient is one of the ways of dividing expressions and numbers.

The value that goes into the box is 2.The quotient is 22.

The quotient is given as:

[tex]\mathbf{352 \div 16}[/tex]

The first step is:

[tex]\mathbf{352 - (20 \times 16) = 32}[/tex]

The next step is:

[tex]\mathbf{32 - ([\ ] \times 16) = 0}[/tex]

Represent the blank with x

[tex]\mathbf{32 - (x \times 16) = 0}[/tex]

So, we have:

[tex]\mathbf{32 - 16x = 0}[/tex]

Collect like terms

[tex]\mathbf{16x = 32}[/tex]

Divide both sides by 2

[tex]\mathbf{x = 2}[/tex]

So, the value that goes into the box is 2.

The quotient is then calculated as:

[tex]\mathbf{Quotient = 20 + 2}[/tex]

[tex]\mathbf{Quotient = 22}[/tex]

Hence, the quotient is 22.

Read more about partial quotients at:

https://brainly.com/question/830526

HELPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer: -15

Step-by-step explanation: in the picture

Step-by-step explanation:

Basically,

expand the brackets; multiply everything in the bracket by -3,

-3(x+5)=-3x+-15

= -3x-15

There ya go, hope this helps...

Solve for a. |2a-10|=6

Answers

Answer:

a= 2

Step-by-step explanation:

2 × 2 -10=6

4-10= 6

6=6

A 16 ounce box of a certain cereal cost $2.24 what is the cost per ounce of the cereal

Answers

Answer:

$0.14 per ounce

Step-by-step explanation:

Divide $2.24 by 16 and theres your answer

How many four-digit numbers are there for which the product of the digits is equal to 240?

Answers

Answer: Its is 1

Step-by-step explanation:

Fill in the [?]:
11,562 um = [?]m
Give your answer in standard form.
Enter

Answers

Divide the number by 1,000,000 (1 million).

Micrometer is a millionth of a meter

11,562/1,000,000 = 0.011562

Plsplspslsplspslspls help me

Answers

Answer:

16. -16+7=-9

17. -11+1=-10

18. 12+13=25

19. -4+(-8)=-12

can i please get some help here its math

Answers

x is 9


12x + 17 = -1 + 14x
18 = 2x
x = 9
-1+14x=12x+17
+1 +1
14x=12x+18
-12x -12x
2x=18
/2 /2
X= 9

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

Answers

Answer:

115.248

Step-by-step explanation:

120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]

120−96×[5 ÷ {23 − 3 × (-26)}]

120−96×[5 ÷ {101}]

120−96×[0.0495]

115.248

Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Hurry leaving for church

Answers

Answer:

250 ft/mile

Step-by-step explanation:

.. ......................

Sally brought the pizza shown above for lunch which was cut into 10 equal slides what percentage of the pizza did tell they eat if she had four slices

Answers

Answer:

25%

Step-by-step explanation:

Answer:

Sally ate 40% of the pizza and there was 60% of the pizza leftover.

Step-by-step explanation:

A percentage is a rate, number, or amount in each hundred.

There were 10 slices of pizza, she ate 4.

4/10 = 40/100 multiplied by 10, which would let us find the percentage.

Therefore, Sally ate 40% of the pizza and left 60% back.

Hope This Helps!

helppppppppppppppppp meeeeeeeee

Answers

Answer:

1.392 km²

Step-by-step explanation:

8.352÷6

please mark me brainliest

PLEASE HELP IT’S DUE TMR

Answers

4 + 3 + 1 = 8

450000 divided by 8 = 56250

The first person gets 225000.

The second person gets 168750.

The last person gets 56250.

pls give me brainliest if it helped:)

9) List the numbers in order from least to greatest.
square root of 5, 2.5, 2 1/3 , square root of 8

Answers

Square root of 5, 2 1/3, 2.5, square rot of 8

Which polynomial has (3x + 2) as a binomial factor?

Answers

Answer:

Step-by-step explanation:

If binomial (3x+2) is  a factor of some polynomial, then number  is this polynomial's root. Check all polynomials:

6x^3+3x^2+4x+2

Answer:

B. [tex]12x^2+15x+8x+10[/tex]

Step-by-step explanation: I did this assignment on edge.

Help me with the question in the image it’s geometry

Answers

Answer:

<BAC=100°

Step-by-step explanation:

<ACB = <DCE - vertical angles are congruent

<ACB = 45° - substitute <DCE = 45° <ACB = <DCE

<ABC + <ACB + <BAC = 180° - angle sum theorem

35° + 45° + <BAC = 180° - substitute <ABC = 35°, <ACB = 45° INTO <ABC + <ACB + <BAC = 180 °

35°+ 45° + <BAC = 180°

180° - 80° = 100

What do I choose? PLEASE HELP!! Ill give brainlist, five stars and a thanks for whoever's answer is right. Please!!!!!

Answers

Answer:

6 3/4

Step-by-step explanation:

If Sarah uses 3/4 of ribbon to make one hair bow, you would need to multiply 3/4 by 9.

3/4 × 9 = 6 3/4

She will need 6 3/4 yards of ribbon.

Hope this helps! Brainliest would be really appreciated!

someone help it’s about gradients etc check photo please!! (The coordinates of K and L are (-8, -5)

Answers

Answer:

[tex]i) \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] = \frac{y {}^{1} - y {}^{2} }{x {}^{1} - x {}^{ {}^{2} } } [/tex]

[tex] = \frac{ - 5 - ( - 1)}{ - 8 - ( - 2) } [/tex]

[tex] = \frac{ - 4}{ - 6} [/tex]

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

Help me please please pleade help me!!​

Answers

Answer:

See below

Step-by-step explanation:

#3

Given function

f(x) = 2x + 3

a) Complete the table. Find the values of f(x) or y:

x = -1 ⇒ f(-1) = 2(-1) + 3 = -2 + 3 = 1x = 0 ⇒ f(0) = 2(0) + 3 = 0 + 3 = 3x = 1 ⇒ f(1) = 2(1) + 3 = 2 + 3 = 5

b) Plot the points:

(-1, 1), (0, 3), (1, 5)

c. The domain the the set of x- values. Since we connect the points, the domain covers the interval between the endpoints:

Domain: {x | -1 ≤ x ≤ 1}

#4

a) The domain is the set of x- values (first number in ordered pairs):

Domain: {x | x = -3, -2, 0, 2, 3}

The range is the set of y- values (second in pairs):

Range: {y | y = -3 , -1, 1 } (note, repeats are counted as same)

b) Graph by plotting the points:

(-3, -3), (-2, -1), (0, 1), (2, -1), 3, -3)

c) The graph is NOT linear as you don't get a straight line if you connect the points

Job 1 at the Minute Mart
 Heather works 3 days at the Minute Mart. Each day consists of 8 hour shifts and the pay rate is £6.29. Work out how much Heather earns a week from the Minute Mart?

Answers

Answer:

£150.96

Step-by-step explanation:

Multiply 6.29 by 8. This is how much she makes a day.

(£50.32)

Multiply £50.32 by 3 because she works for 3 days.

(£150.96)

6x — 5y = 15
x = y + 3
х =
y =

Answers

Replace all occurrences of x with y + 3 in each equation.

Replace all occurences of x in 6x - 5y = 15 with y + 3.

6 (y+3) -5y = 15

x = y + 3

Simplify 6 (y + 3) - 5y.

Simplify each term.

Apply the distributive property.

6y + 6 · 3 - 5y = 15

x = y + 3

Multiply 6 by 3.

6y + 18 - 5y = 15

x = y + 3

Subtract 5y from 6y.

y + 18 = 15

x = y + 3

Move all terms not containing y to the right side of the equation.

Subtract 18 from both sides of the equation.

y = 15 - 18

x = y + 3

Subtract 18 from 15.

y = -3

x = y + 3

Replace all occurences with y with -3 in each equation.

Replace all occurences of y in x = y + 3 with -3.

x = (-3) + 3

y = -3

Add -3 and 3.

x = 0

y = -3

The solution to the system is the complete set of ordered pairs that are valid solutions.

(0,-3)

The result can be shown in multiple forms.

Point Form:

(0,-3)

Equation Form:

x = 0, y = -3

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are :

[tex]x = 0[/tex][tex]y = - 3[/tex]

Refer to the attachment for solution ~

-5x + 13 = -17 two step equation​

Answers

Answer:

X = 6 see below

Step-by-step explanation:

-5x + 13 = - 17

Step One:

subtract 13 from each side

-5x = - 30

Step two:

divide each side by - 5

x = 6

Surface of a rectangular prism15 cm depth6 cm width7.5 cm height

Answers

Answer:

675 is the surface rectangle

Step-by-step explanation:

multiple the depth width and height together

What can you say about the LCM of two numbers, if one (or both) of
the numbers is prime?

Answers

Answer:

If one or both numbers are prime, the LCM(Lowest Common Multiple) is the product of the numbers. e.g the LCM of 2 and 5 is 10; 2×5

Martin finds a shirt on sale

Answers

Hmmm how much is the shirt

which of the ratio equivalent to 1:3 select all that apply

Answers

Answer:

4:12

6:18

8:24

Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.


What is the measure of the
third angle of this triangle?

Answers

Answer:

20 degrees

Step-by-step explanation:

180-120-40=20

Quis
bentuk faktorial dari
5!=​

Answers

Answer:

5!=

[tex] = 5 \times 4 \times 3 \times 2 \times 1 \\ = 20 \times 3 \times 2 \times 1 \\ = 60 \times 2 \times 1 \\ = 120 \times 1 \\ = 120[/tex]

how do you solve n - 8 > 5

Answers

Answer:

n great than 13.

hope this isn't wrong

The solution to the inequality is n > 13. This means that any value of n greater than 13 will satisfy the inequality.

Given is an inequality n - 8 > 5, we need to solve it,

To solve the inequality "n - 8 > 5," you can follow these steps:

Step 1: Add 8 to both sides of the inequality to isolate the variable n.

(n - 8) + 8 > 5 + 8

n - 8 + 8 > 13

n > 13

Step 2: Simplify the inequality.

n > 13

Hence the simplified inequality is n > 13.

Learn more about inequality click;

https://brainly.com/question/20383699

#SPJ6

a sloth travels about 7 feet every minute generate the set of ordered pair for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1,2,3 and 4 minutes then graph the relationship on the coordinate plane and describe the pattern in the graph

Answers

Answer:

this question is very hard

Step-by-step explanation:

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