Factorise the exprssions
x^2-ax-bx+ab

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

Answer:

d.  1.5%

Step-by-step explanation:

Given - The track and field coach records Ian's 400-meter race times during three practices.

Practice        1          2           3

Time (s)         63       60        58

To find - How much greater was the percent of change from Practice 1 to Practice 2 than from Practice 2 to Practice 3? Round to the nearest tenth.

a. 7.9%

b.  4.8%

c.  3.3%

d.  1.5%

Proof -

% change from Practice 1 to Practice 2 change = [tex]\frac{60 - 63}{63}. 100[/tex]%

                                                                           = [tex]-\frac{3}{63}.100[/tex]% = - 4.761904762 %

⇒% change from Practice 1 to Practice 2 change = - 4.762 %

Now,

% change from Practice 2 to Practice 3 change = [tex]\frac{58 - 60}{60}. 100[/tex]%

                                                                           = [tex]-\frac{2}{60}.100[/tex]% = - 3.334 %

⇒% change from Practice 2 to Practice 3 change = - 3.3334 %

So,

- 4.461904762% - (- 3.3334%) = -4.461904762 + 3.3334 % = -1.4285 % ≈ 1.5%

∴ we get

Value = 1.5%

The correct option is - d.  1.5%

Answer: 67.5 cm

Step-by-step explanation:

Jason has 4 lengths of ropes

first is [tex]3\ in.\approx 7.5\ cm[/tex]

second is [tex]15\ cm[/tex]

Third is [tex]0.3\ m\approx 30\ cm\quad [\text{1 m = 100 cm}][/tex]

fourth is [tex]0.5\ ft\approx 6\ in.\approx 15\ cm\quad [\text{1 ft=12 in.}][/tex]

the total length of rope is the sum of four lengths

[tex]\Rightarrow 7.5+15+30+15=67.5\ cm[/tex]

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Answer:

Step-by-step explanation:

Although the VNA ADC is measuring voltage (-10V to +10V range in 14 bits), by using a trace formula, this voltage can represent other types of measurement parameters (such as current, temperature, or a scaled voltage).

Answer: twice 31 and 13 = 75

Step-by-step explanation: 31 + 31 = 62 + 13 = 75

Answer:

1. C - Directly Proportional Graph

2. D - Square Root Graph (I don't know, I just eliminated it from all the other options xD)

3. A - Exponential Graph

4. B - Reciprocal Graph

Answer:

A. 4m

Step-by-step explanation:

r= sqrt (64pi)/(pi*4) = 4m

Answer:

8

Step-by-step explanation:

the length of segment AD would be 8 since segment AD and segment WZ are equal in length!

Answer:

1st one, 4th one, and 5th one

Step-by-step explanation:

Answer:

red, blue and purple

hey There!

for the first one

2*2=4

4*2=8

8*2= 16 so blue is correct

8*8=64 so cyan is not correct

2^8=256 so yellow is not correct

4*4=16 so red is correct

2^4 is the same as 2*2*2*2 which equals 16 so purple is also correct

Answer:

30 inches squared

Step-by-step explanation:

The formula for a RIGHT triangle is:

[tex]A= \frac{ab}{2}[/tex]

We are given..

Therefore...

[tex]A = \frac{5(12)}{2}[/tex]

[tex]A=\frac{60}{2}[/tex]

[tex]A = 30[/tex]

Answer:

16 cm, 63 cm, 65 cm

Step-by-step explanation:

Because those side lengths are to big to make a right triangle

Answer:

7.07

Step-by-step explanation:

Find vertices D with desmos (it's 2,-4).

Use the distance formula or diagonal=a√2 (d=5√2)

Multiply them and get 7.07.

Since the vertices forms a square, all sides are the same length which is 5.

Also you bca kid rt?

Answer:

B

Step-by-step explanation:

when you slice them in half you get the same thing, example W, when slice you get two V V

Answer:

I go with choice a

Step-by-step explanation:

a) A,B,C,D they all have a line of symmetry

8*8*8 or 8^3 is the equation, the answer is 512

Answer:

the cane

Step-by-step explanation:

Answer:

0.14 or 7/50

Step-by-step explanation:

Answer:

v = 50m/s

u = 0

a = v-u/t = 50/10= 5m/s²

180 - 145 = 35

180 - 80 - 35 = 65

x = 65

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

https://brainly.com/question/4758162

Answer:

False; True; True

Step-by-step explanation:

If the radius is 4, the area of the circle is

pi*r*r = pi * 4 * 4 = 16pi; The second statement is true.

The entire circle's "angle" is 2pi, so the sector takes (2pi/3) / 2pi of it all, equal to 1/3 of the entire circle - hence the area of the sector is

16pi * 1/3 = 16pi/3; the first statement is false

The length of the entire circle is 2 * pi * r = 2 * pi * 4 = 8pi

The sector is 1/3 of that, so 8pi/3; the third statement is true.

Answer:

Step-by-step explanation:First you have to subtract 662-88 and you work it on paper so its easier and when you find the answer its 574

Answer: Buying the 5 tickets to the next hockey game is better because the unit price is only 16$

Step-by-step explanation:

80 / 5 = 16

50 / 3 = 16.666

Options:

A.) Jane should multiply volumes, not areas.

B.) Jane should also subtract the areas of six hidden surfaces.

C.) Jane should also add the areas of six hidden surfaces.

D.) Jane is correct.

Answer:

B.) Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.

When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).

Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.

Answer:

Jane should also subtract the areas of six hidden surfaces.

Step-by-step explanation:

I just did it on Imagine Math

Answer:

1240

Step-by-step explanation:

Number of boys to a girl is

x:y= 11:9

9x= 11y

There are 124 more boys in the schooll than girls

x= 124+y

Substitute 124+y for x

9(124+y)= 11y

1116+9y= 11y

1116= 11y-9y

1116= 2y

y= 1116/2

y= 558

Number of girls is 558

The number of boys can be calculated as follows

= 558+124

= 682

Hence the total number of students is

= 682+558

= 1240