find the product of 3ab (10b + 2a)​

Answer:

gradient = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

8y + 4x = 5 ( subtract 4x from both sides )

8y = - 4x + 5 ( divide the terms by 8 )

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{5}{8}[/tex] ← in slope- intercept form

with gradient = - [tex]\frac{1}{2}[/tex]

Given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2

2 is the gradient of a line that is perpendicular to 8y+4x=5​

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane

The slope of line can also be called ad gradient of a line.

The standard form of line or slope intercept form of a line is given by

y=mx+c

where m is the slope of line and c is the y intercept.

The given equation of line is  8y+4x=5​

We need to convert the equation of line to Slope intercept form

8y=5-4x

Divide both sides by 8

y=5/8-4/8x

y=-1/2x+5/8

So m is -1/2.

Two lines are said to be perpendicular if m₁m₂ =-1

if m₁=-1/2

then we need to calculate m₂

-1/2m₂=-1

m₂=2

Hence gradient of a line that is perpendicular to 8y+4x=5​ is 2.

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Answer: tell me if i am wrong

yx = k, where k is a real constant.

When y = 30, x = 3.

=> k = (30)(3) = 90.

Hence when y = 6, x = k/y = (90)/(6) = 15.

Step-by-step explanation:

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

20

Step-by-step explanation:

dekameter=10 meters

dekameter*2

20 meters

20/20=1

20 meter long pieces

Answer:

10.55

Step-by-step explanation:

Answer: [tex]432\pi \text{ cubic centimeters}[/tex] or [tex]1356.48\text{cubic centimeters}[/tex]

Step-by-step explanation:

Volume of right circular cylinder = [tex]\pi r^2 h[/tex]

Given: Radius = 6 centimeters

Height = 12 centimeters

Then, the volume of this cylinder = [tex]\pi (6)^2 \times (12)= 432\pi \text{ cubic centimeters}[/tex]

Hence, the volume of this cylinder = [tex]432\pi \text{ cubic centimeters}[/tex]

At [tex]\pi=3.14[/tex]

The volume of this cylinder[tex]=432\times3.14=1356.48\text{cubic centimeters}[/tex]

Answer:

i believe it's A bc 8 cm is too long to reach 4 cm

Step-by-step explanation:

Angle 1 2 and 3 are angles that are in a triangle and all the angles in a triangle always add up to 180

so <1 +<2 +<3=180

Hope that helps :)

Answer:

Step-by-step explanation:

Y intercept is at  (0,1) so b=1

slope is go 4 down 1 right so slope is -4

Equation is

-4x+1=y

Answer:

Area = 48 square units

Step-by-step explanation:

You're welcome :)

Answer:

Here we know that:

Volume capacity = 150 GB

Free space = 60GB

Here we know that 150 GB represents the 100%, then which percentage represents the 60 GB of free space?

Well, we can write:

60 GB = X

150 GB = 100%

Now we can take the quotient between these two equations:

(60GB/150GB) = X/(100%)

Now we can solve this for X

(60GB/150GB)*(100%) = X = 0.4*100% = 40%

Answer:

there are right :)

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 3x^3+2x^2-2x+1

Explanation:

x^3 + 2x^3 - x^2 + 3x^2 -3x + x + 8 - 7 = 3x^3+2x^2-2x+1

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

11787.24

Step-by-step explanation: If it costs 982.27 each month, multiply that number times 12 to equal a full year to get your answer.

Answer:

401.92

Step-by-step explanation:

The formula used the calculate the volume of a cylinder is

πr^2h

π= 3.14

H= 8

r= 4

Volume= 3.14 × 4^2 × 8

= 3.14 × 16×8

= 401.92

Hence the volume is 401.92

Answer:

2/3

Step-by-step explanation:

When a line is parallel to another, it means that there are never going to be any solutions(they won't ever intersect each other.) To do so, the slope of the lines have to be the same. It doesn't matter what the y-intercept is.

So the slope of the second line is going to be the same as the first line: 2/3

Answer:

43.4

Step-by-step explanation:

Answer:

24x - 36y + 48

Step-by-step explanation:

12 (2x - 3y + 4)

Distribute the term outside of the parenthesis, multiply each term inside the parenthesis by the term outside of the parenthesis.

(12)(2x) - (12)(3y) + (12)(4)

24x - 36y + 48

Answer:

Step-by-step explanation:

Where are the expressions?

Answer:

Step-by-step explanation:

M = sum of the terms / number of the terms

1. Mean = 145/5 = 29

Option A is the correct answer

2. Mean = 35 /5 = 7

Option B is the correct answer

Answer:

1. 29 (A) 2. 7 (B)

Step-by-step explanation:

1. 2+57+38+42+6 = 145

145/5 = 29

2. 4+9+7+10+5 = 35

35/5 = 7

Answer:

14000

Explaination:

spwithvat = sp without vat + 13% of sp without vat

let, sp without vat be x.

sp with vat= x + 13% of x.

or, 13447 = x + 13/100 × x

or, 1344700 = 113x

or, x= 1344700/113

x = 11900

Let, mp be y.

sp with vat = mp - 15% of mp

or, 11900 = y - 15/100 × y

or, 1190000 = 85y

or, y= 1190000/85

y= 14000

Answer:

[tex]3\frac{1}{4}[/tex] inches

Step-by-step explanation:

Height of the tallest conifer = [tex]9\frac{1}{2}[/tex] inches

Height of the shortest conifer = 6 + measure of one segment on the number line

Measure of one segment on the number line = [tex]\frac{6\frac{1}{2}-6}{2}[/tex]

                                                                           = [tex]\frac{\frac{1}{2}}{2}[/tex]

                                                                           = [tex]\frac{1}{4}[/tex]

Therefore, height of the shortest conifer = 6 + [tex]\frac{1}{4}[/tex]

                                                                    = [tex]6\frac{1}{4}[/tex]

Difference in tallest and shortest conifer = [tex]9\frac{1}{2}- 6\frac{1}{4}[/tex]

                                                                    = (9 - 6) + [tex](\frac{1}{2}- \frac{1}{4})[/tex]

                                                                    = 3 + [tex]\frac{1}{4}[/tex]

                                                                    = [tex]3\frac{1}{4}[/tex] inches

Answer:

3.9

Step-by-step explanation:

m+5=8.9

m=8.9-5

m=3.9

Answer:

i). 2    ii). 2

Step-by-step explanation:

i). 4p = 18 - 5(2)

4p = 18 - 10

4p = 8

p = 2

ii). 4(2) = 18 - 5q

8 = 18 - 5q

-10 = - 5q

q = 2

Answer:  [tex]\dfrac{33}{40}\ gm[/tex]

Step-by-step explanation:

Given

Neville place three weights in the sequence

[tex]\dfrac{1}{2}\ gm,\dfrac{1}{5}\ gm,\dfrac{1}{8}\ gm[/tex]

The total weight of the three weights is

[tex]\Rightarrow \dfrac{1}{2}+\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{20+8+5}{40}\\\\\Rightarrow \dfrac{33}{40}\ gm[/tex]

Thus, herbs weigh  [tex]\frac{33}{40}\ gm[/tex]