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krek1111 [17]
3 years ago
9

How the heck do you solve these type of problems?

Mathematics
1 answer:
Trava [24]3 years ago
7 0
21) 3(2j-k)=108 It is asking you to set the equation equal to j
distribute the 3
6j-3k=108
move k to the other side by adding on both sides
6j=108+3k
divide everything by 6
j=18+0.5k
You might be interested in
Complete the table of values for this absolute value function. Then use the drawing tool(s) to graph the function. F(x)-2|x+1|-1
rusak2 [61]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the equation

f\left(x\right)=-2|x+1|-1

As some of the absolute rules are:

  • \left|a\right|=a,\:a\ge 0
  • \:|-a|=a,\:\quad \:a>0

NOW, let us solve!

Let us substitute all the table values

Putting x = -4

y=-2\left|-4+1\right|-1        ∵\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0

y=-6-1

y=-7

So, when x = -4, then y = -7

Putting x = -3

y=-2|-3+1|-1\:

y=-4-1

y=-5

when x = -3, then y = -5

Putting x = -2

y=-2\left|-2+1\right|-1

y=-2-1

y=-3

when x = -2, then y = -3

Putting x = -1

y=-2\left|-1+1\right|-1

y=-0-1

y=-1

when x = -1, then y = -1

Putting x = 0

y=-2\left|0+1\right|-1

y=-2-1

y=-3

when x = 0, then y = -3

Putting x = 1

y=-2\left|1+1\right|-1

y=-4-1

y=-5

when x = 1, then y = -5

The graph is also attached below.

6 0
3 years ago
Example 2
PIT_PIT [208]

Answer: (a) 314.2cm², (b) 157.1cm², (c) 78.55cm² (e) 6.77

Step-by-step explanation: (a)  Area of the circle with radius of 10 cm = πr²

                                                                          = 3.142 × 10 × 10

                                                                          = 3.142 × 100

                                                                          = 314.2cm²

The formula                                                       = πr²

(b)  Area of the half of a circle known as semicircle

                                                                         = πr²/2

                                                                         = 3.142 ×10 × 10/2

                                                                         = 3.142 × 50

                                                                         = 157.1cm²

The formula                                                      = πr²/2

(c)  A quarter of a circle is called quadrant

                                                            = πr²/4

                                                            = 3.142 × 10 × 10/4

                                                            = 314.2/4

                                                            = 78.55cm²

The formula is written thus = πr²/4, which implies that the circle is divided into 4 unit

(d) The conjecture about how to determine the area of the sector is

Formula of a sector = ∅/360(πr²)

<u>Information</u>

The arc  cant be 60°, therefore information incomplete.

(e) Area of the sector with the angle AOB of 60° = 24.

To find the radius of the angle, make v the subject of the formula from the formula.

Sector area = πr²∅/360°

equate formula to 24.

Therefore πr²∅/360° = 24

Multiply through by360° to make it a linear expression

It now becomes πr²∅ =24× 360°

                                                     r² = 24  x 360/π × ∅°

                                                     r² = 24 × 360° /3.142 × 60°

                                                     r² = 3,640/188.52

                                                     r² = 45.8

To find r , we take the square root of both side by applying laws of indicies

                                    Therefore r = √45 .8

                                                      r = 6.77

(f)   General formula = ∅°/360° × (πr²)

angle substended at centre by the arc = x°

assuming the radius of the circle = ycm, Therefore,  area of the sector = { ∅°/360° × πy² }

                                                     

                                                   

8 0
3 years ago
39 is what percent of 156
Romashka-Z-Leto [24]
39 is 25% of 156. 
Work: 156 x 0.25 = 39 which means that 25% of 156 is 39.

Hope this helps and please mark as brainliest!
8 0
3 years ago
Representation of the function f(x)=-2x2+8x-6
Kaylis [27]
X-intercepts: (1,0), (3,0)
Y-intercepts: (-6,0)
8 0
3 years ago
2.77 x 10^3<br> + 1.04 x 10^4
Alex Ar [27]
2.77*10^3+1.04^10^4
2.77*10^3=2770  where (10^3=1000, so 1000*2.77)
1.04*10^4=10400 where (10^4=10000, so 10000*1.04)
 
2770+10400
=13170
4 0
3 years ago
Read 2 more answers
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