Here is an identity.
a(4x – 10) = 24x + 5b
Work out the values of a and b

Answers

Answer 1

Answer:

The value of a is 6 and the value of b is -12

Step-by-step explanation:

Given identity is:

a(4x – 10) = 24x + 5b

We can use the comparison of coefficients method to find the values of a and b

So,

By simplifying the left hand side of identity

[tex]4ax-10a = 24x+5b\\4ax+(-10)a = 24x+5b[/tex]

Comparing the co-efficient of x

[tex]4a = 24\\a = \frac{24}{4}\\a = 6[/tex]

Comparing the constant terms

[tex]-10a = 5b[/tex]

Putting the value of a

[tex]-10(6) = 5b\\-60 = 5b\\b = \frac{-60}{5}\\b = -12[/tex]

Hence,

The value of a is 6 and the value of b is -12


Related Questions

What justification is used from line 2 to line 3?

Line 1: 2 open x minus 5 close less than 7 x plus 1

Line 2: 2 x minus 10 less than 7 x plus 1

Line 3: negative 10 less than 5 x plus 1

Line 4: minus 11 less than 5 x

Line 5: fraction minus 11 over, 5, end fraction, less than x

Line 6: x greater than, fraction minus 11 over, 5, end fraction

A: Distributive property
B: Subtraction property of inequality
C: Division property of inequality
D: Reflexive axiom of inequality

Answers

Answer:

subtraction property of equality

Step-by-step explanation:

From line 2 to line 3, they subtracted 2 from both sides.

distance covered by minute hand in 1 hour is 94. 20 cm find the circumference of the circle whose radius is 12 CM​

Answers

Answer:

[tex]\large\boxed{75.4cm(1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Circumference of a cirlce= [tex]\pi*diameter[/tex]

Diameter= [tex]2*radius[/tex]

Method:

The first step in working out the circumference of this cirlce is to work out the diameter. You can work this out by multiplying the radius of 12 by 2, this gives you 24cm. This is because the radius is half of the diameter.

The next step is to work out the circumference. You can do this by multiplying pi by the diameter of 24, this gives you [tex]27\pi[/tex] or 75.4cm (1 d.p).

Step by Step:

1) Multiply 12 by 2.

[tex]12*2=24cm[/tex]

2) Multiply pi by 24.

[tex]\pi*24=75.4cm(1 d.p)[/tex]

HELPPP PLS


James is tossing a counting cube numbered 1 to 6 to see how many times he gets a 3 or a 6. If he tosses the cube 36 times, predict how many times he will roll a 3 ora 6.

A. 6 times
B. 12 times
C. 9 times
D. 18 times​

Answers

The answer would be B. Because there is 6 chances of each number getting picked out of the 36 times.
6+6= 12

A clothing store has a special on socks. They are selling 5 pairs
of socks for $11.25. Find the price for 12 pairs of socks.

Answers

The answer is $ 28.25

Area of triangle- please help :)

Answers

I will help you as soon as possible

Answer:

[tex]\approx 45.1\:\mathrm{w/\: some \: MOE}[/tex]

Step-by-step explanation:

The area of [tex]ABCD[/tex] is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of

Since the sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex], we have:

[tex]\angle C=180-44-38=\fbox{$98^{\circ}$}[/tex].

The Law of Sines is given as:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] for any triangle.

Therefore, we have the proportion:

[tex]\frac{\sin 98^{\circ}}{10}=\frac{\sin 44^{\circ}}{BC},\\BC=\frac{10\cdot \sin 44^{\circ}}{\sin 98^{\circ}},\\BC\approx 7.01[/tex].

Now that we have two sides of a triangle and the angle between them, we can use [tex][\triangle]=\frac{1}{2}ab\sin C[/tex]  to find the area of [tex]\triangle CBD[/tex]:

[tex][CBD]=\frac{1}{2}\cdot 10\cdot 7.01 \cdot \sin 38^{\circ},\\\\\left [CBD]\right\approx 21.58[/tex].

Since [tex]\triangle ABD[/tex] is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:

[tex]\sin 55^{\circ}=\frac{AB}{10},\\AB=10\sin 55^{\circ},\\AB\approx 8.19[/tex],

[tex]\sin 35^{\circ}=\frac{AD}{10},\\AD=10\sin 35^{\circ},\\AD\approx 5.74[/tex].

Therefore, the area of [tex]\triangle ABD[/tex] is:

[tex]\frac{1}{2}\cdot 8.19\cdot 5.74\approx 23.49[/tex].

The area of [tex]ABCD[/tex] is then

[tex]21.58+23.49=45.07=\fbox{$45.1$}[/tex].

[tex]\bigstar[/tex] Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.

Select other ways to express 2:12

Answers

Answer:

12 after 2

Step-by-step explanation:

I got this correct on ed2020

Answer:

ratio

Step-by-step explanation:

HELP!! GEOMETRY!! WILL MARK BRAINLIEST!!! NEED WORK SHOWN IF POSSIBLE

Answers

Answer:

Step-by-step explanation:

1
Graph the line with slope
passing through the point (-1, 2).
1.1
Х
$
?
2
-10
-8
-6
-
2
2
-6
-8
-107

Answers

Answer:

...

Step-by-step explanation:

Evaluate: p³ at p = 2

Answers

Answer:3 *3* 3

Step-by-step explanation:

Because your dealing with powers

P=3

(need help ASAP!) A moving truck has 10 feet ramp that is used to put furniture in the truck. The ramp touches the ground 8 feet from the back of the truck. How high off the ground is the ramp meet the back of the moving truck?

Answers

5. 0384748939

Step-by-step explanation:

let's take the ramp, if u draw a diagram 8, 10 and the unknown value makes a right angled triangle

So according to pythogaraos(dnot care the spelling) theorem a square + b square = c square

Now 10 is the hypothenuse, so let's rearrange them as c square - b square = a square

now apply the values, 10 square - 8 square = X square

100 - 64 = X square

36 = X square

now root of 32 is-------

I MESSED UP I GUESS

Someone please help!!

Answers

25, it’s a supplementary angle, so it adds to 180. 180-155=25. Would appreciate brainliest!

Answer:

25 degree

Step-by-step explanation:

The sum of angles is 180

so to find angle b, subtract 155 from 180

180 - 155 = 25

b = 25 degree

Solve 3x-9 ≥ 27-6x
Please help would be greatly appreciated!!

Answers

X is greater than or equal to four

which ordered pair is a solution to the equation y=-2/5x+9

A. (-3/2, 10)
B. (0, 10)
C. (-1, 10 2/3)
D. (2/3, 10)

Answers

Answer:

c

Step-by-step explanation:

i am not sure i but i think it is

Express 18 as a fraction of 27.
Give your answer in its simplest form

Answers

Answer:

Thus, 2/3 is the simplified fraction for 18/27 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 18/27 by using the prime factorization method

Step-by-step explanation:

hope l am not late!

Someone plz help me fast plz

Answers

Answer:

Yes, it said of a mile and so that states since there are two numbers of a mile...

Step-by-step explanation:

in a highschool, 2/5 of the boys make up 250 students. how many boys are there in the high school?

Answers

Answer:100 boys

Step-by-step explanation:

250 / 5 is 50.

50 x 2 is 100.

Find the value of x for the equation below:
-3x + 10 = 5x - 8

Answers

Answer:

x = 2.25

Step-by-step explanation:

-3x + 10 = 5x - 8

add 3 to 5x, add 8 to 10

18 = 8x

divide 18 by 8

x = 18/8 = 2.25

If 18 more than 2 times a number is -10, what is the number?
A.-14
B.-4
C.4
D.14

Answers

Answer:

A. -14

Step-by-step explanation:

Mary is planning to provide online math and french language tutoring sessions. The matt sessions will be 45 minutes long, and the french session will be 30 minutes long hours per week and does not want to provide more than 30 french sessions in any one week. let m represents the constraints of the given situation? ​

Answers

Answer:

the answer is D

f ≥0

m≥0

f≤30

45m+30f≤30

Step-by-step explanation:

hope it help luvs

The constraints that represent the given situation in the question are; Option D;

f ≥ 0

m ≥ 0

f ≤ 30

45m + 30f ≤ 30

Inequalities

We are told that;

Maths sessions (m) are 45 minutes long per week. French sessions (f) are 30 minutes long per week

Thus; we can say that; m ≥ 0 and f ≥ 0

We are told that Mary doesn't want to deliver more than 30 French sessions in one week. Thus;

f ≤ 30

Combining all the inequalities, we can say that;

45m + 30f ≤ 30

Read more about Inequalities at; https://brainly.com/question/25275758

Plz help me. I can’t figure this out

Answers

Answer:

D is false

Step-by-step explanation:

the graph does not include the point (4,3)

Answer:

I'm pretty sure the answer is c) the graph crosses the y-axis at (0, 4).

Solve 11 = 6 + a help pls

Answers

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Subtract six from both sides

5=a

Write an equation of a line in slope-intercept form that passes through (-3,5) and is parallel to y = -6x +1.
Then find its x- and y-intercepts.

Answers

Answer:

a) The equation of the Parallel line to the given straight line is

       6 x + y + 13 =0

b) Slope - intercept form

        y = - 6 x - 13

c) The intercept - form

            [tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]

x - intercept  =  [tex]\frac{-13}{6}[/tex]

y - intercept = - 13

Step-by-step explanation:

Step(i):-

Given the equation of the straight line

                             y = -6x +1

                  6 x + y - 1 = 0

The equation of the Parallel line to the given straight line is

                6x + y + k=0 and it passes through the point (-3, 5 )

           ⇒ 6 (-3 ) + 5 + k =0

          ⇒  - 18 + 5 + k=0

         ⇒   -13 + k = 0

        ⇒     k = 13

The equation of the Parallel line to the given straight line is

       6 x + y + 13 =0

Step(ii):-

Slope - intercept form

                y = m x + C

                y = - 6 x - 13

Step(iii):-

Intercept - form

              6 x + y + 13 =0

              6 x + y = - 13

              [tex]\frac{6x + y}{-13} = \frac{-13}{-13}[/tex]

             [tex]\frac{6x}{-13} + \frac{y}{-13} = 1[/tex]

             [tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]

The intercept - form

            [tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]

x - intercept  =  [tex]\frac{-13}{6}[/tex]

y - intercept = - 13

Find the slope of the line


Answers

Answer:

-2

Step-by-step explanation:

[tex]y = - 2x[/tex]

the line is going down meaning its a negative and to find the slope do rise over run

i need help with this questions

Answers

Answer:

1st question

63.63

2nd question

28.3

3rd question

25.1

4th question

70.4

5th question

1404.93

Step-by-step explanation:

1.

area= π×r^2

3.142×4.5squared

radius is 4.5

4.5 squared is 20.25

20.25×3.142 is 63.6255

2.d.p is 63.63

2.

circumference is pi times diameter

3.142×9 is 28.278

1.d.p is 28.3

3.

4×2=8 (diameter)

circumference is pi times diameter

3.142×8=25.136

1.d.p=25.1

4.

11.2×2=22.4(diameter)

circumference is pi times diameter

3.142×22.4=70.3808

1.d.p=70.4

5.

area is pi times radius squared

radius=11.2

11.2 squared is 125.44

3.142×125.44=1404.928

2.d.p=1404.93

hope this helps!

in the linear equation y= 3/4x + 2 what does 2 represent?​

Answers

Answer: The y intercept.

Step-by-step explanation:

Using the form y = mx +b, m represents the slope and b is the y intercept. In the equation y = 3/4x + 2, the slope (m) = 3/4 and the y intercept (b) = 2

candidate carson received 2310 votes 55% of the total how many total votes were cast

Answers

Answer:3x-x+2=4

Step-by-step explanation: is what i got maybe wrong

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Order the polynomial -x 4 y 2 + 7x 3 y 3 - 3xy 5 + 2x 2 y 4 in descending powers of x.

Answers

Answer:

See under for the sequence

Step-by-step explanation:

The term with -X⁴ comes first because 4 is the highest power of x.

Then comes 7x³y³ because 3 is the second highest power

Then 2x²y⁴ because 2 comes next

Then -3xy⁵ because x is raised to 1 power which is the lowest

need the answer asap!!!
Exeter points!!!​

Answers

Answer:

maybe 149 cell phone chargers or 219 cell phone chargers

Step-by-step explanation:

Find an example of two irrational numbers a and b for which a≠b and a/b is rational.

Answers

Answer:

Yes.

Here’s an easy (and cheap) one:  [tex]\\\\\sqrt 2\\-\sqrt 2[/tex]

In fact, I can find a formula for them.

The two numbers will always be of the form:

[tex]x_1 =a+b\sqrt c \\x_2 =a-b\sqrt c \\[/tex]

A and B are rational

C is rational and not a perfect square of a rational number

These are irrational because the square root will not resolve to a rational number.

12=(+√)(−√)=2−(√)2=2−2 . Looks rational to me.

1+2=+√+−√=2 , which also is rational.

Hope this helped!

Simplify the expression:

7(1 + 2g) =

Answers

7+14g because your multiplying seven by the parenthesis and because you don’t know the value of g you have to keep it as 2g times 7 which would be 14g
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