Which equation represents the line that passes through the
point (9.4) and is perpendicular to the graph of 5x + y = 30

Answers

Answer 1

Answer:

y = 1/5x + 2 1/5

Step-by-step explanation:

first find the negative reciprocal slope of 5x + y = 30 because perpendicular lines have negative reciprocal slope:

=> y = -5x + 30, negative reciprocal of the slope -5 is 1/5

substitute the new slope 1/5 and the coordinate (9, 4) into the equation: y = mx + b  to solve for b

=> 4 = 1/5(9) + b

=> 4 = 9/5 + b

=> b = 2 1/5

plug in the slope 1/5 and b = 2 1/5 into the equation: y = mx + b

=> y = 1/5x + 2 1/5


Related Questions

Hildie can type an average of 74 words per
minute. If she types for 45 minutes, how many
words has she typed?

Answers

Answer:

3,330

Step-by-step explanation:

you multiply 74 and 45

Answer:

3,330 words

Step-by-step explanation:

Hildie can type 74 words per MINUTE. And we know she typed for 45 minute, so we can just multiply 74 and 45.

What is the slope of y=-4x-3

Answers

Answer:

The slope othe line is - 1

Answer:

-1/4

Step-by-step explanation:

What is the answer to this liberal arts 1 question?
3^(-2-2)=?

Answers

Answer:

the answer is 1/81 I believe

Step-by-step explanation:

PLSSSSS HELPPPPPP ANSWER

Answers

it should be 3.5•10^-12

5. Abbey represented the perimeter of the rectangle with the expression 8x + 4. Determine if Abbey's
expression is equivalent to Brit's expression. Justify your reasoning.

Answers

Answer: I believe it is

Step-by-step explanation: if you add 3x + 3x you get 6x. You would then add the like terms which are x + x ( x is equal to one) and that to 6x and you get 8x then add 2+2=4 and you get 8x + 4

Find the slope of the line.

Answers

Answer:

1. 2, 2. 1,  3. 5/4

Step-by-step explanation:

slope formula = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

1. 0 - 4/0 - 2 = 2

2. 1 - 4/1 - 4 = 1

3. -2 - 3/-3 - 1 = 5/4

Please help fast!! I need to find x.

Answers

Answer:

80°

Step-by-step explanation:

If the intercepted arc is 80°, the angle has to be 80°

Which pattern does not follow the rule subtract 8, multiply by 2, subtract 8,
multiply by 2, ...?
24, 16, 32, 24, 48,
1)
15.7.14, 6.12.
17, 9, 18, 10, 20,
20, 12, 24, 16, 30. ...

Answers

Answer:

20,12,24,16,30

Step-by-step explanation:

Sara shaded 2/10 of a piece of grid paper. Derrick shaded 45/100

Answers

Answer:

Derrick shaded more

Step-by-step explanation:

I didn't know what you want me to answer but he has more.

Can someone help me with this because I am struggling and if you don't mind show me the steps?

Answers

Answer:

C) 1.5 in

Step-by-step explanation:

(7 + 1.5 + 1.5)(5 + 1.5 + 1.5) = 80

Question 17
Which statements are true about AFGH?
36
H
F
15
39
G
6
cos H x 0.3846
cos Gs 0.9231
sin Gs 0.9231
tan G = 24
Reply...
Do
Wed Apr 21

Answers

Answer:

Options C and D are the correct options.

Step-by-step explanation:

Option A

cos(H) = 0.3846

By applying cosine rule in ΔFGH,

cos(H) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{36}{39}[/tex]

           = 0.9231

False

Option B

cos(G) = 0.9231

By applying cosine rule in ΔFGH,

cos(G) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

           = [tex]\frac{15}{39}[/tex]

           = 0.3846

False

Option C

sinG = 0.9231

By applying sine rule in ΔFGH,

sin(G) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{36}{39}[/tex]

          = 0.9231

True

Option D

tanG = 2.4

By applying tangent rule in ΔFGH,

tanG = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

        = [tex]\frac{36}{15}[/tex]

        = 2.4

True

Therefore, Options C and D are the correct options.

What is the circumference of a circle with a diameter of 10 in? (NO LINKS PLS)

Answers

Answer:

10π or 31.4159265359

Step-by-step explanation:

Step-by-step explanation:

radius is 5

C = 2πr

C = 2(5)π

= 10π

= 31.42in

What is the amount of income tax in dollars and cents if a plumber makes $51,482 and has to pay a 5.5% income tax rate? $2,821.51

Answers

Answer:

$2,821.51

Step-by-step explanation:

The amount made be plumber = $51,482

rate of income tax = 5.5%

Therefore, amount of income tax in dollars and cents that would be paid by the plumber would be 5.5% of his amount made

= 5.5% of 51482

= (5.5/100)×51,482

= $2,821.51

PLEASE HELP I WILL MARK BRAINLIEST!! Have a great day:)

Answers

Answer:

The answer is D.

Step-by-step explanation:

It's D because a expression is numbers grouped together not just 1 number. Hope it helps and have a blessed day.

Answer:

B

Step-by-step explanation:

B is an equation, not an expression

Cassidy bought some shirts and pants for $214.She spent $60 on shirts. If Cassidy bought 7 pairs of pants for the same price each,how much was each pair?

Answers

Answer: 22$ each Explanation: 214$-60$=154$
154/7= 22

Which of the expressions below will have a remainder? Select all that apply. A) 856÷3 B) 1,152÷4 C) 2,807÷9 D) 1,533÷7

Answers

Answer:

I got A and C on my half

but im not entirely sure

Step-by-step explanation:

:)

Find the area of the shape shown please please help me find the area:)

Answers

Answer:

area = 32 units²

Step-by-step explanation:

area = (4 x 10 x 0.5) + (2 x 2) + (2 x 2 x 0.5) + (6 x 2 x 0.5) = 32 units²

Find the dimensions of a rectangle if the area of the rectangle is 108 square meters

Answers

Answer:

it's your answer

Step-by-step explanation:

plz make me barinly least

A cube is a rectangular prism with the same measurement for length, width and height. if a cube is 4 inches tall, what is its volume?

Answers

Answer:

I am pretty sure the answer is  64

Step-by-step explanation

Volume=lxwxh

4x4x4=64

An angle measuring 28.3 radians is drawn in standard position?


In what quadrant will the terminal side of this angle lie?


Express your answer as a Roman numeral.

Answers

Answer:

The terminal side of angle will lie in thirds quadrant

Step-by-step explanation:

Given the angle is 28.3 degree radians

Converting it into degrees we get -

28.3rad × 180/π = 1621.471°

Total 360 degrees rotation in this angle

1621.471°/360 = 4

SO the remaining degrees 181.471

The angle grater than 180 lies in third quadrant.

The terminal side of angle will lie in thirds quadrant

What is the least common multiple (LCM) that could be used to find a common denominator for the fractions 1 2 and 5 6 ?

Answers

Answer:

4

Step-by-step explanation:

b/c the only number that divide both is 4

Pounds would be a good unit to measure everything but
A oranges.
B milk
c sugar.
D potatoes

Answers

Answer:

B.Milk

Step-by-step explanation:

Triangle KLM is similar to triangle NOP. Find the measure of side PN. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
60
P
O
M M
17 1
35
K
N

Answers

Answer:

ML/OP=MK/PN since sides of similar traingle are proportional

17/60=35/PN

PN=35×60/17=123.529=123.6 or 124

The measure of the side PN is 123.5.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles

Given that triangle KLM is similar to triangle NOP.

If two triangles are similar, then their corresponding sides will be proportional.

From the figure,

Corresponding side of LM is PO.

Corresponding side of MK is NP.

Corresponding side of LK is ON.

So LM / PO = MK / NP = LK / ON

17 / 60 = 35 / PN = LK / ON

We need the length of PN.

17 / 60 = 35 / PN

17 × PN = 60 × 35

PN = (60 × 35) / 17

PN = 123.5

Hence the measure of the side of the triangle is PN = 123.5.

To learn more about Similar Triangles, click :

https://brainly.com/question/14926756

#SPJ2

Ann purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card. Ann used her card only once to make a long distance call.If the remaining credit on her card is 14.26,how many minutes did her call last?

Answers

Answer:

The correct answer is; Ann was on the call for 41 minutes.

Step-by-step explanation:

20-14.26 is equivalent to 5.74, in which you divide that by .14 (fourteen cents) and get 41.

¿Qué cantidad de chapa se necesita para construir un depósito cilíndrico cerrado de 0,7 m de radio de la base y 1 metro de altura? Dibuja esquemáticamente su desarrollo y señala sobre él los datos necesarios. ¿Cuál es su capacidad en m3?

Answers

Answer:

a) 7.48 m²

b) 1.54 m³

Step-by-step explanation:

a) ¿Cuánta chapa se necesita para construir un tanque cilíndrico cerrado con un radio de base de 0.7 my una altura de 1 metro?

Debemos calcular el área de superficie de un tanque cilíndrico cerrado

radio = 0.7 m

Altura = 1 m

La fórmula = 2πr (h + r)

Por eso,

= 2 × π × 0.7 (0.7 + 1)

= 7.47699 m²

Aproximadamente = 7.48m²

b) Debemos encontrar la capacidad del cilindro en m³

Esto significa que debemos calcular el volumen del cilindro.

= π × r² × h

= π × 0.7² × 1

= 1.53938 m³

Aproximadamente = 1.54 m³

please help!!! (pic included)

Answers

Answer:

21 questions 50 cnet is the best

Step-by-step explanation:

help please!!
integrate the following:
[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } [/tex]

Answers

Answer:

[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]

Step-by-step explanation:

we are given

[tex] \displaystyle \int \frac{ \cos ^{2} (x) - \cos ^{2} ( \alpha ) }{ \cos( x) - \cos( \alpha ) } dx[/tex]

we want to Integrate it

notice that, the denominator can be rewritten by using algebraic identity

remember that,

[tex] \displaystyle {a}^{2} - {b}^{2} = ( a + b)(a - b)[/tex]

therefore

rewrite the denominator by using the identity:

[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cos(x) - \cos( \alpha ) ) }{ \cos( x) - \cos( \alpha ) }dx [/tex]

reduce fraction:

[tex] \displaystyle \int \frac{ ((\cos (x) + \cos ( \alpha) ) ( \cancel{ \cos(x) -\cos( \alpha ) ) }}{ \cancel{\cos( x) - \cos( \alpha ) } }dx[/tex]

[tex] \displaystyle \int \cos(x) + \cos( \alpha ) dx[/tex]

recall that,

[tex] \rm\displaystyle \int f(x) \pm g(x)dx =\int f(x) \pm \int g(x)dx[/tex]

by that

we get

[tex] \displaystyle \int \cos(x) dx + \int \cos( \alpha )dx [/tex]

we also know that,

[tex] \displaystyle \int \cos(x) = \sin(x)dx [/tex]

and also the Integration of a constant is always cx

so,

[tex] \displaystyle \sin(x) + x\cos( \alpha ) [/tex]

and of course we have to add constant

[tex] \displaystyle \sin(x) + x\cos( \alpha ) + \rm C[/tex]

Can someone please help me! I don't understand even if my teacher explain it to me:(

Answers

Answer:

I think...

Step-by-step explanation:

D(-4,-2) E(-2,0) F(-1,-4)

help me out on this please:)

Answers

Answer:

yes

Step-by-step explanation:

pls help for 50 points NO WEBSITES please help

Answers

Answer:

Solution: [tex]4\frac{3}{4}[/tex], 3.5, -15, 5

Not a solution: 129 and [tex]10\frac{2}{3}[/tex]

Step-by-step explanation:

20 ≥ 5 + 3x

3x + 5 ≤ 20

3x ≤ 20 - 5

3x ≤ 15

x ≤ 5

x must be LESS than or EQUAL to 5

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