On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The number b varies directly with the number a. For example b = 2; when a = -2 which equation represents this direct variation between a and b? O b= -a O-=-a Ob-a=0 Ob(-a) = 0​

Answers

Answer 1

Answer:

b = -a

Step-by-step explanation:

If a and b are both positions from 0, we need to write an equation that relates both positions. The problem is explaining that the position of a is opposite to the position of b.

If a = 2; b = -2. If a = 1000; b = -1000.

If a = -x; b = x. Then:

-a = x

-a = x and b = x, that means:

b = -a


Related Questions

S and T are subsets of a universal set, U, such that: U = {a, b, c, d, e, f, g, h, i} S = {a, b, e} T = {a, d, f, g}. What are the elements of S ⋃ T?

Answers

Answer:

S∪B = {a,b,e,a,d,f,g}

Step-by-step explanation:

According to the Question,

Given, S and T are subsets of a universal set U ( U = {a, b, c, d, e, f, g, h, i} )

And, S = {a, b, e} , T = {a, d, f, g}

Thus, S∪B(S union B) = n(S) + n(T)

S∪B =  {a,b,e,d,f,g}     (There It contains all the elements present in S & B).

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Write the equation in slope-intercept form in each line based on the information give
The line contains the points
(1,-2)and(2,4)

Answers

Answer:

y= 6x -8

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

Gradient

[tex] = \frac{4 - ( - 2)}{2 - 1} [/tex]

= 6

y= 6x +c

To find the value of c, substitute the equation with a pair of coordinates.

When x= 1, y= -2,

-2= 6(1) +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the line is y= 6x -8.

What is the value of 9/10 divided by 1/5?

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10} \div \dfrac{1}{5}}[/tex]

[tex]\mathsf{= \dfrac{9}{10}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{= \dfrac{9\times5}{10\times1}}[/tex]

[tex]\mathsf{9 \times 5 = \boxed{\bf 45} \ (numerator)}[/tex]

[tex]\mathsf{10\times 1 = \boxed{\bf 10} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{45}{10}}[/tex]

BOTH NUMBERS HAVE the  GCF (Greatest Common Multiple) of 5, so we are going to DIVIDE BOTH THE NUMERATORS by 5

[tex]\mathsf{= \dfrac{45\div5}{10\div5}}[/tex]

[tex]\mathsf{45\div 5 = \boxed{\bf 9} \ (numerator)}[/tex]

[tex]\mathsf{10 \div 5 = \boxed{\bf 2} \ (denominator)}[/tex]

[tex]\mathsf{= \dfrac{9}{2}}[/tex]

CONVERT YOUR CURRENT FRACTION to a MIXED NUMBER

[tex]\mathsf{= 4\dfrac{1}{2}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf 4 \dfrac{1}{2}}\large\text{ \bf or }\mathsf{\bf \dfrac{9}{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which transformation is a translation?

Answers

Answer:

i don't know but o o o o right e o right e auto park

Answer:

4234324tgfgdfgdgd

Step-by-step explanation:

Does this app actually work for ya'll????​

Answers

Answer:

Yessssss!

Step-by-step explanation:

Answer:

yess!! look up your question before you ask it :))))

thx for the points too hehe

Brianliest help please

Answers

Answer:

answer is option C

3+7=10

7-3=4

C.

Step-by-step explanation:

x + y = 10

x - y = 4

x = 4 + y

Okay, so now we substitute our third equation into equation 1. Then equation one becomes..

4 + y + y = 10

4 + 2y = 10 ┌(・。・)┘♪

Mk now we subtract 4 from both sides ofc.

2y = 10 - 4

2y = 6

Now divide by 2

y = 3

And now the last one-

substituting y = 3 into equation 3 to find the value of x!

(. ❛ ᴗ ❛.)

x = 4 + y, x = 4 + 3, x = 7

So, that's how I got this answer! (◕ᴗ◕✿)

Find the surface area of the rectangular prism

Answers

Answer:

22mi

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

h=1mi

l=5mi

w=1mi

Using the formula,

2·(1·5+1·5+1·1)=22mi

Therefore, the surface area of the rectangular prism is 22mi

which of the following number are prime numbers 1,7,36,16,2,51,25​

Answers

Answer: 2 and 7

Step-by-step explanation: prime number is a number that is divisible only by itself and 1

what is the arc measure? what is the arc length?

Answers

Answer:

do pi times diameter divided 8 and you'll get your answer :)

Step-by-step explanation:

so do 3.14 times 26.4 divided 8

Do the pie times 26.4 divided by 8

If t = 5 and u = 19, what is vu + 25t?

Answers

Answer:

12

Step-by-step explanation:

[tex]\sqrt{u+25t}[/tex]

[tex]\sqrt{19+25(5)}[/tex]

[tex]\sqrt{144}[/tex]

12

Answer:

12

Step-by-step explanation:

Evaluate and substitute:

Sqrt of 19 + 25(5)

Sqrt of 19 + 125 = 144

Sqrt of 144

Sqrt of 144 = 12

Therefore, our answer!

Hope this helps!

Answer the question.

Answers

Answer:

[tex] \frac{8 {x}^{2} y}{6 {x}^{2} {y}^{2} } \\ = \frac{8×3}{6 {y}^{2} } \\ = \frac{24}{6 \times {3}^{2} } \\ = \frac{4}{9} [/tex]

the dimensions of a lawn shaped like a trapezoid are given in meters. what is the area of the lawn in square meters?6m, 3m, 5m, 14m

Answers

Answer:

the answer is 14m

Step-by-step explanation:

sorry Kung Hindi Tama aNg sagot.piro Sana makatolong

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

Get–Around Cab Company charges $2.50 upon entry and $2 per mile. Write the function that represents the cost C of a ride of m miles. C(m) = m +

Answers

Answer:

C(m) = 2.50 + 2m

Step-by-step explanation:

The fixed charge = charge per entry = $2.50

Charge per mile = $2

Function which represents the cost of a ride of m miles ;

Cost for m miles, C(m)

C(m) = charge per entry + cost per mile * number of miles

Where, number of miles = m

C(m) = 2.50 + 2m

Answer:

C(m) =2  m + 2.5

Step-by-step explanation:

I DID IN ED

2 + (-17) i need the correct answer and show your work

Answers

Answer:

-15

Step-by-step explanation:

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

Answer :-

2 + (-17) = (-15)

If two integers have different sign, subtract and the result will have the bigger number sign.

17 - 2 = 15  and the bigger number is 17 & sign of 17 is negative. So answer is  (-15)

[tex] \tt{ \verified} \: \: \: \: \red{ \checkmark}[/tex]

You remember recording bowling scores of 116, 105, 109, and 113; however, you cannot remember your score in the fifth game. You know your bowling average is 109, what did you score on the fifth game?​

Answers

Answer:

the answer is 102

Step-by-step explanation:

hope this helps

PLEASE HELP AND EXPLAIN!

A. y=60x
B. y=80x
C. y=10x
D. y= 6x

Answers

Answer:

C).

Step-by-step explanation:

One of the points on the graph that the path of bike b crosses is (6,60).

When you divide this to find the unit rate you get 10/1 therefore the equation of bike b= y+10X

There are red, blue, and white buttons in a box. The ratio of the
number of red buttons to the number of white buttons is 4:7.
The ratio of the number of blue buttons to the number of red buttons
is 3:2. There are 280 white buttons. How many buttons are there
altogether?
Please Help i’m very confused!!!

Answers

Answer:

There are 680 buttons altogether

Step-by-step explanation:

Here, we want to get the total number of buttons

From the question, the ratio of number of red to white buttons is 4:7

mathematically, this mean;

r:w = 4:7 = ?/280

thus;

4/7 = ?/280

7 * ? = 280 * 4

? = (280 * 4)/7

? = 40 * 4 = 160

From here, we can see that the number of white buttons is 160

from the second part of the question,

b:r = 3:2 = ?:160

3/2 = ?/160

2 * ? = 160 * 3

? = 480/2

? = 240

Thus, we have the sum total of the number of buttons as;

240 + 280 + 160 = 680

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

pleasee helpp 20 pointss!

Answers

Both of them you will quadratic formula to solve

Mr. Cox filled up his car with gas yesterday. He paid $24 for 6 gallons of gas.
How much would 10 gallons of gas cost?

Answers

Answer:

40 gallons of gas

Step-by-step explanation:

Please help me this should be easy for y'all thanks

Answers

Answer:

20

Step-by-step explanation:

2x + 3y = 23
-1(2x + y = 13

Answers

Answer:

2x +3y= 5xy

-1(2x+y= 2xy+-1 = -3xy

Answer:

y= 9

x = -2

Step-by-step explanation:

Y= 9, X = -2 I use the simultaneous equation to solve it.

100 divided by 2
please show work

thank you

Answers

Answer:

100÷2= 50

Step-by-step explanation:

Because if we divide a 100 equally by 2 it will be 50

like this? i’m not sure how you would show it lol

what is 1/20 in mixed fraction easy points will give brainliest too if two people ansswers

Answers

That cannot be made into a mixed fraction it is simplified as best possible unless you would like to turn it into a decimal

Answer:

it cant cause its simplified as much as it can be

Step-by-step explanation:

iknow

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

PLEASE HELP QUICK! The following polygons are given. All of the polygons are regular polygons.

Answers

Answer:

1. Convex 15-gon, Convex 18-gon, Convex 45-gon

2. Increases

3. Decreases

4. Increases

5. Stays the same

Step-by-step explanation:

The formula for finding the measure of an interior angle, θ, of a polygon with 'n' sides is given as follows;

[tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex]

1. Polygons that have interior angles with whole numbers are factors of 180

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

Therefore, from the options, the polygon that have whole number interior angles are;

15, 18, and 45

Which gives;

Convex 15-gon

θ₁₅ = (15 - 2) × 180°/15 = 156°

Convex 18-gon

θ₁₈ = (18 - 2) × 180°/18 = 160°

Convex 45-gon

θ₄₅ = (45 - 2) × 180°/45 = 172°

2. From the equation of the interior angles of a polygon, [tex]\theta = \dfrac{(n - 2) \times 180}{n}[/tex], we have;

As n increases, (n - 2)/n increases towards 1

Therefore, as the number of sides 'n' of a polygon increases, the interior angle of the polygon increases

3. Given that the sum of the interior and exterior angles of a polygon is 180°, as the interior angles increases as the number of sides increases, the exterior angle decreases

4. The total sum of the angles increases as the number of sides of the polygon increases and decreases as the number of sides of the polygon decreases

5. The sum of the exterior angles of a polygon is given as follows

[tex]n \times (180^{\circ} - \theta) = n \times \left(180^{\circ} - \dfrac{(n - 2) \times 180^{\circ}}{n} \right) = n\cdot 180^{\circ} - n\cdot 180^{\circ} + 360^{\circ}[/tex]

[tex]n \times (180^{\circ} - \theta) = 360^{\circ}[/tex]

Therefore, total sum of the exterior angles of a regular polygon is always (remains the same) 360°.

Other Questions
The diagram shows a stone tied to a string in circularmotion. If the string breaks, what will be the direction ofmotion of the stone? helppp me doing my homework please Write the product in standard form. (2 + 3i)(2 - i) A mi amigo ___ gustan las enchiladas. A. Les B. MeC. Te D. Le 2KClO3 (s)2KCl (s)+ 3O2 (aq) equilibrium constant An aqueous sucrose (C12H22O11) solution must be created for an experiment. If 100.00 mL of 0.200 M solution is needed, what amount of sucrose (in grams) must be weighed out Which are Washingtons major mountain ranges? Check all that apply.Rocky MountainsCascade RangeAppalachian MountainsOlympic MountainsAlaska RangeIM TIMEDDDDDD Please help or else you will get killed by Shrek! Help me please???!!!!!!! which of these are refusal skills? Select three correct answers Jaiver bought a new TV for 479.76. He will make equal payments each month for 2 years . Estimate each payment. What is true of the type of angle in this lesson? It measures half the sum of the arc it intercepts. It measures twice the sum of the arc it intercepts. It measures half the sum of the arcs it intercepts. It measures twice the sum of the arcs it intercepts. Whats the answer?? To question 4 Arjuns family is traveling in a car at a constant speed of `65` miles per hour. At that speed, 200 The 21st century of public library service for today's generation 500 to 800 words in article features in ghana El peso(w) de una persona en la Tierra es 550N. Determinar la masa (m) de la persona y el peso (w) de la misma en la Luna The diameter of a strand of rope is 1.2 10^-3 inch. The diameter of a strand of floss is 2.0 10^-4 inch.How much longer is the diameter of the strand of rope than the diameter of the strand of floss? A. 2.0 10^-7 inch B. 1.0 10^-7 inch C. 2.0 10^-3 inch D. 1.0 10^-3 inch 3. a trader sold an article at a discount of18% for GHC828.00. If the articlewas initially marked to gain 25%profit, find the:a) cost price of the articleb) discount allowed. explsin that arts and craft make life beautiful and elegent and help to build a beautiful. pls answer correctly A sample of oxygen gas has volume 150.0 mL, at 0.947 atm, what will be the volume of the gas at 750.12 mm of Hg if temperature remain constant.