Express y in terms of x in the equation ax + by = c where b is not equal to zero.

HELLLP

Answers

Answer 1

Answer:

y=(-ax+c)/b

Step-by-step explanation:

ax+by=c

by=c-ax

by=-ax+c

y=(-ax+c)/b


Related Questions

need help w question in this pic thanks!!

Answers

Given:

A figure of a circle.

To find:

The value of x.

Solution:

First label the given figure as shown below.

In triangle ABO,

[tex]OA=OB[/tex]                                          (Radii of same circle)

[tex]\Delta ABO[/tex] is an isosceles triangle.      (By the definition of isosceles triangle)

[tex]\angle OAB\cong \angle OBA[/tex]                               (Base angles of an isosceles triangle)

[tex]m\angle OAB=m\angle OBA[/tex]

[tex]42^\circ=m\angle OBA[/tex]

In triangle ABO,

[tex]m\angle AOB+m\angle OAB+m\angle OBA=180^\circ[/tex]      (Angle sum property)

[tex]m\angle AOB+42^\circ+42^\circ=180^\circ[/tex]

[tex]m\angle AOB=180^\circ-42^\circ-42^\circ[/tex]

[tex]m\angle AOB=96^\circ[/tex]

Now,

[tex]m\angle AOB+m\angle BOC=180^\circ[/tex]         (Linear pair)

[tex]96^\circ+x=180^\circ[/tex]

[tex]x=180^\circ-96^\circ[/tex]

[tex]x=84^\circ[/tex]

Therefore, the value of x is 84 degrees.

The number of students in a geometry class is four
fifths the number of students in a Spanish class.
The total number of students in both classes does
not exceed 54. What is the greatest possible
number of students in the Spanish class?

Answers

Answer:

Step-by-step explanation:

Givens

Let the number in the Spanish Class = x

Then the number in the Geometry Class = (4/5) x

Equation

x + (4/5)x < 54

Solution

x + (4/5)x < 54

4/5 = 0.8

x + 0.8x < 54

1.8x < 54                    Divide both sides by 1.8

1.8x / 1.8 < 54/1.8

x < 30

The sign used in the equation is less than, not less than or equal to.

The number of students taking Spanish cannot equal 30. There must be 29 in the Spanish Class.

Find a recursive rule for the nth term of the sequence.

5, 20, 80, 320, ...

Answers

Answer:

[tex] a_1 = 5 [/tex]

[tex] a_n = 4a_{n - 1} [/tex]

Step-by-step explanation:

[tex] a_1 = 5 [/tex]

20/5 = 4

80/20 = 4

320/80 = 4

This a geometric sequence with r = 4.

[tex] a_n = 4a_{n - 1} [/tex]

Answer:

[tex] a_1 = 5 [/tex]

[tex] a_n = 4a_{n - 1} [/tex]

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??​

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

[tex] \displaystyle\rm 15000[/tex]

Step-by-step explanation:

we given the area of rectangular floor and tile we want to find the number of tiles needed to tile the floor

notice that the area of the rectangular floor is in meter and the tile in cm so we need to convert cm to meter in order to figure out the number of tiles needed to tile the floor

therefore,

[tex] \rm 1m \implies 100 c m\\ \rm{1m}^{2} \implies10000 {cm}^{2} [/tex]

remember that,

[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{A _{ \rm floor} }{A _{ \rm tile} } [/tex]

Thus substitute:

[tex] \displaystyle\rm \: N _{ \rm tile} = \frac{360 \times 10000 {cm}^{2} }{ {240cm}^{2} } [/tex]

simplify which yields:

[tex] \displaystyle\rm \: N _{ \rm tile} = 15000[/tex]

hence,

15000 of tiles needed to tile the floor

Which Choices are equivalent to the expression below? check all that apply. 6(x+3)-5x
A. 6x+3-5x
B. x+18-5x
C. x+18
D. 6x+18-5x

Answers

Answer:

Your answer is C and D

Step-by-step explanation:

6(x+3)-5x

6 times 3 is 18.

6x+18-5x

5x is a negative so you subtract 5x from 6x.

It's x+18

So the answer would be C and D since they'll have the same outcome.

find the length of the line segment whose endpoints are (-5,6) and (6,6)

Answers

Answer: 11 units

Step-by-step explanation:

Use the distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

[tex](x_{1}, y_{1})=(-5, 6)\\(x_{2}, y_{2})=(6, 6)\\\\\sqrt{(6-(-5)^{2}+(6-6)^{2}} =\sqrt{(11)^{2}+(0)^{2}} =\sqrt{121+0}=\sqrt{121}=11[/tex]

The length of the line is 11 units.

What is distance?

The distance between two points is the length of the line joining the two points.

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

 

Given that, endpoints are (-5,6) and (6,6) of the line segment.

The length= √(6+5)²-(6-6)²

                  =11 units

To learn more on Distance click:

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using quadratic equation:
help me solve it
[tex]10x - \frac{1}{x } = 3[/tex]

Answers

Answer:

[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]

hope this helps you.

Have a nice day!

Can you please help with this question. Please please

Answers

Add the three numbers.

The magical thing about triangles is if they have 3 angles that are the same then 100% they will be the same lengths.

Annnnnd if you open the sum of the 3 angles more than 180degrees then it wouldn’t be a triangle anymore, the lines will open up.

Perimeter is just a fancy way of saying what’s the outside length/distance.

52+30+40 = 122
5.2 * 9 = 46.8

hope this help

Determine another point on the parabola that has an axis of symmetry x = 4 and a point on the parabola is (0, 2), Another point on the parabola is

Answers

Given:

Axis of symmetry of a parabola is [tex]x=4[/tex].

A point on the parabola is (0,2).

To find:

The another point on the parabola.

Solution:

The point (0,2) lies on the parabola and the axis of symmetry of a parabola is [tex]x=4[/tex].

It means, the another point on the parabola is the mirror image of (0,2) across the line [tex]x=4[/tex] because the parabola is symmetric about the axis of symmetry.

If the point is reflected across the line [tex]x=4[/tex], then

[tex](x,y)\to (-(x-4)+4,y)[/tex]

[tex](x,y)\to (-x+4+4,y)[/tex]

[tex](x,y)\to (-x+8,y)[/tex]

Using this rule, we get

[tex](0,2)\to (-0+8,2)[/tex]

[tex](0,2)\to (8,2)[/tex]

Therefore, the other point on the parabola is (8,2).

write a equation for y=|x| if the graph is translated right by 3 units and down by 1 unit

Answers

Answer:

y=|x -3| -1

Step-by-step explanation:

NEED HELPPPP RNNNNNNNN​

Answers

put it together first so
x+12-5x=3 solve from there it easy

Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
Anna draws a map with a number line connecting her house to Ben’s house. On the number line, the school is at 0 and her house is at the point +2.5. On the map, Ben’s house is at the point

Answers

Answer:

Step-by-step explanation:

3===o===2=======1========0========-1=======x-2

I know this is backwards, but the question makes the choice of which direction is plus. o represents where anna lives.

Ben should be right at -2 where the x is.

What should be done so that the expression will have a value of 20?

8 + 4 - 22 x 3

Answers

Answer:

34 should be added to it to make it 20

Which choice is equivalent to the product below for acceptable values of X?
Vx+2 • Vx-2

Answers

Answer:

The answer is D.

Step-by-step explanation:

A microwave oven has a capacity of 1.75 ft³. The interior of the microwave is 18in wide and 14in deep. What is the height of the interior of the microwave, to the nearest tenth of a foot?

Answers

Answer:

Step-by-step explanation:

This is a volume problem as indicated by the exponent on the unit feet. Cubed is a volume thing, whereas squared is an area thing, etc.

The volume for a box-shaped microwave is

V = l x w x h and we are given the length and the width, but those are in inches and they need to be in feet. That's the tricky part here...catching the inconsistency in the units!

18 inches = 1.5 ft and

14 inches = 7/6 feet

Filling in:

1.75 = 1.5 x 7/6 x h and

1.75 = 1.75h so

h = 1 foot

Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?​

Answers

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

What does 8 represent in the decimal 478.92

A. Tenths
B. Hundreds
C. Dozen
D. Units​

Answers

Answer:

Units

Step-by-step explanation:

From the value above 478.92

4 represents hundreds

7 represents tens

8 represents units

Hence the answer is units

Using f(x) = 4x + 6 with a domain of{-1, 0, 2 }, find the range.

1. {10, 6, 15}
2. {2, 14}
3. {-4, 0,8}
4. {2, 6, 14}

Answers

Answer:

{2,6,14}

Step-by-step explanation:

The range are the f(x) values

the domain are the x values

So we have it that;

f(-1) = 4(-1) + 6 = 2

f(0) = 4(0) + 6 = 6

f(2) = 4(2) + 6 = 14

so we have the range as;

{2,6,14}

why can two prime numbers only have one common factor?

Answers

A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).

Evaluate the expression (24−8)4 using order of operations

Answers

Answer:

(24-8)4

(24-8)*4

16 *4

64

what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.

S(3,4), T(3,1), U(-2,1, V(-2,4) ​

Answers

Step-by-step explanation:

hi friend I can help you in this geometry work via Wazapp

Please help me fast.

Answers

the answer is in the picture above

is 4393 is divisible by which number

Answers

Answer:

4393 is divisible by 1 ,23 and 191

Answer:

the answer is 23

Step-by-step explanation:

Select the correct answer. Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living there. The table shows her findings. Area Buckeye Butterflies Monarch Butterflies A 15 16 B 27 36 12 25 24 32 E 44 33 The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two areas have buckeyes and monarchs in the same proportion? OA. areas A and B OB. areas Cand E O C. areas B and D OD. areas C and D ​

Answers

A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of buckeyes and monarch butterflies in different areas can be written as,

Area A,

Buckeyes/Monarchs = 15/16

Area B,

Buckeyes/Monarchs = 27/36 = 3/4

Area C,

Buckeyes/Monarchs = 12/25

Area D,

Buckeyes/Monarchs = 24/32 = 3/4

Area E,

Buckeyes/Monarchs = 44/33 = 4/3

Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.

Learn more about Ratios here:

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Answer:B and D

Step-by-step explanation:

i just took the test

Alice bought a (k) kg of pork and (i) kg of chicken. how many kg of meat did alice buy??
Write the solutions and explanation with algebraic expression

Answers

Answer:

(k)kg+(l)kg=kg

Step-by-step explanation:

I just looked at letters. it's definitely wrong but I typed something so I could get points and get my answers. idc tbh but good luck ig

The price of a radio is marked as rs 7500 if shopkeeper allows 20 % Discount and adds 13 % VAT . how much customer pay for radio​

Answers

Answer:

a) A shopkeeper marked the price of an article a certain percentage above the cost price and he allowed 16% discount to make 5% profit. If a customer paid Rs 9.492 with 13% VAT to buy the article, by what percent is the marked price above the cost of the price article? (I hope this helps)

(r-3)(r-1)
Help me please!!!

Answers

Answer:

= r²−4r+3

Step-by-step explanation:

(r - 3) (r - 1)

(r x r) + (r x -1) + (-3 x r) + (-3 x -1)

r² + - r - 3r + 3

= r²−4r+3

to move a function, you need to___it.

Answers

Answer:

shift

Step-by-step explanation:

shift

A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?

Answers

Answer:

3x + (x/2) *2

Step-by-step explanation:

The distance for the first 3 hours is rate times time

x *3

The distance for the next 2 hours is rate times time

x/2 *2

Add them together to get the total distance

3x + (x/2) *2

Find the inverse mapping of x 2x +1

Answers

f^-1 (x)= x/2 - 1/2
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