What is the slope of a line that is perpendicular to the line 2y – 3x = 8

Answers

Answer 1

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2y -3x=8

Add 3x to each side

2y-3x+3x= 8+3x

2y = 3x+8

Divide by 2

2y/2 = 3/2x +8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4


Related Questions

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?

A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.

Answers

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

If x 3=-27, then what is x?
-3
3
9
Question #8MultipleChoice

Answers

Answer:

x=-9

Step-by-step explanation:

3 x=-27

x = -9

Answer:

-9

Step-by-step explanation:

x3 = -27 OR 3x = -27

3x/3 = -27/3

x = - 9

What is 25 x 10^6 in standard form

Answers

Answer:

25 x 10^6 in standard form

= 25,000,000

Step-by-step explanation:

brainleist!

Answer:25,000,000

Step-by-step explanation:

3 3/5 times (-8 1/3)

Answers

Answer:

-30

Step-by-step explanation:

3 3/5 × -8 1/3

Turn to improper fractions.

18/5 × -25/3

Multiply.

-450/15

Divide.

= -30

pls answer. i will mark as branliest

Answers

Answer:

The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:

x = 38 + 79 which simplifies to x = 117°.

Answer:

117 degrees

Step-by-step explanation:

38* is one inside angle

to find the other you got to find the rest if you do 180-101 you get 79.

all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117

OK sorry i had it wrong apparently i cant read

I need help with this problem

Answers

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

The answer is A. 94

Suppose you start an annuity where you invest $2,000 at the beginning of each year and 4% interest is paid at the end of the year. What is the value of the annuity at the end of 5 years, rounded to the nearest dollar? It is

Answers

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

Answers

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

I'll give BRAINLIEST!!

Answers

Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense

Answers

Answer:

He's wrong, he should have divided both sides by 3

b≤8.66666

Step-by-step explanation:

Answer:

Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?

Step-by-step explanation:

The probability that Paul wins in a raffle is given by the expression
p.

Write down an expression for the probability that Paul does not win.

Answers

Answer:

[tex]1 - p[/tex]

Step-by-step explanation:

Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that

[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].

So

[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].

But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.

Cual es el 5% de 6000

Answers

Answer:

Explanation:

I hope you understand this

Si no le entendiste es 300

Pls helpppppppppppppp

Answers

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Help me real quick plz, will give more points and 5 star rate if right answer is given.

Answers

Step-by-step explanation:

I think D

But I am not sure

sorry unknowingly I typed option A

Answer:

D

Step-by-step explanation:

Find the square root of 0.925 using long division method...

Answers

Answer:

0.96176920308

Step-by-step explanation:

i think so

h=(-5) answer needed now!!!!

Answers

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)

Answers

Answer:

529 plan

Step-by-step explanation:

The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses

Answer:

529 plan

Step-by-step explanation:

A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.

Please help me solve number 14 and 15

Answers

Answer:

Step-by-step explanation:

Similarity property,

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

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

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

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

Analyze the diagram below and complete the instructions that follow.

Find sin ZNOM.

Answers

Answer:

sin NOM = 3/5

Step-by-step explanation:

sin NOM = opposite/ hypotenuse = MN/OM

OM² = 4² + 3² = 25

OM = √25 = 5

sin NOM = MN/OM = 3/5

Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.

Answers

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.

Answers

Answer:

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Step-by-step explanation:

For Ash's Train;

Distance travelled d1 = 80km

Time taken t1 = 50 minutes = 5/6 hour

Average speed = distance travelled/time taken

v1 = d1/t1

Substituting the values;

v1 = 80/(5/6)

v1 = 96km/h

For Misty's train;

Total distance travelled d2 = 160 km

Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes

t2 = 2.5 hours

v2 = d2/t2 = 160/2.5

v2 = 64 km/h

the difference, in km/h, between the average speed of their trains is;

∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h

∆v = 32 km/h

the difference, in km/h, between the average speed of their trains is 32 km/h.

Answer:

32km/h

Step-by-step explanation:

i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!

Answers

Answer:

160 ounces

Step-by-step explanation:

32 ounces x 5=160  ounces

The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.

Answers

Answer:

sequence is 19, 15, 11 ....

so nth term is : -4n+(19+4)

therefore : -4n + 23

Answer:

-4n + 23

Step-by-step explanation:

I NEED HELP ASAP! THANKS :)

Answers

Answer:  A) stretched vertically by 2 and shifted up 6 units

Step-by-step explanation:

y = A log(Bx - C) + D    where

A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)

Given: f(x) = log x

          g(x) = 2 log x + 6

→ A = 2   vertical stretch by a factor of 2

→ D = +6  vertical shift UP 6 units

Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.

Answers

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.

Answers

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.

Answers

Answer:

Hope it helps:) 18j+10

Step-by-step explanation:

(2)(3j+5+6j)

(2)(3j)+(2)(5)+(2)(6j)

6j+10+12j

18j+10

Select the correct answer. What is the domain of the function represented by this graph?

Answers

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Which of the following linear equations passes through points (-1,5) and (1,-5)?

Answers

Answer:

y = -5x

Step-by-step explanation:

If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?


Pls Anyone help me!!​

Answers

Answer:

Put the values into the formula....let me know if you need help....

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Sum of the first 9 terms = 9/2 (2a + 8d)

Sum of the first 11 terms = 11/2 (2a + 10d)

S9 = S11

9a + 36d = 11a + 55d

2a = -19d

2a + 19d = 0...........(1)

S20 = 20/2 (2a + 19d)

= 20/2 (0) . .. ............from (1)

S20 = 0

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