Factorise the expressions and divide them as directed.​

Answer:

pressure=force/area

2000. ×area =10

area. =10/2000

area =0.005cm²

Answer:

Figure 0 = 5 tiles

Figure 1 = 5 + 7 = 12 tiles

So, the equation is:

y = 7x + 5

because, it adds 7 tiles in every new figure.

The equation is y = 7x +5.

Answer is y = 7x +5

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

Answer:

the answer is d

Step-by-step explanation:

I'm smurt

Answer:

a. 14/15

b. 1/12

Step-by-step explanation:

a) 1/3 + 3/5

so find the lowest common multiple for the denominators which is 15

then say 15 ÷ 3 = 5

then 15 ÷ 4 = 3 (you are dividing by the denominators)

say 5 × 1 (multiple by the numerators now)

= 5

= 5/15

now say 3 × 3 = 9

= 9/ 15

now it's 5/15 + 9/15

= 14/15

Jason made an error that he just added the denominators without applying any formula.

b. 11/12 - 5/6

find the lcm

= 12

11/ 12 × 1/1 = 11/12

5/6 × 2/2 = 10/12

11-10

= 1

= 1/12

Jason made a mistake that he said 12-6 instead of finding the LCD them multiplying that fractions

The errors Jason made that he did not take LCM of denominators.

In math, a denominator can be defined as the bottom number in a fraction that shows the number of equal parts an item is divided into.

Given are some calculations done by Jason,

We know that, to add two fractions, we take LCM of denominators and then divide the numerator by LCM and the add,

a) 1/3 + 3/5 = 4/8

Here, Jason have not taken LCM of denominators

Correction =

[tex]\frac{15(\frac{1}{3} )+15(\frac{3}{5}) }{15} \\= \frac{5+9}{15} \\=\frac{14}{15}[/tex]

b) 11/12 - 5/6 = 6/6 = 1

Again, the error is the same.

LCM(6, 12) = 12

Correction =

[tex]\frac{12(\frac{11}{12})+12(\frac{5}{6)} }{12} \\= \frac{11-10}{12} \\= \frac{1}{12}[/tex]

Learn more about denominators, click;

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Answer:

[tex]q=31.7\\p=28.4[/tex]

Doing all calculations with 3 significant figures.

Step-by-step explanation:

First, we'll obtain the value of 'q', this by realizing how the two angles together form a right triangle with inner angles of 30, 60, 90.

Furthermore, the opposite side of the angle of 30 is 'q' and its adjacent is given as 55. Hence, we can solve for 'q' using tangent as follows:

[tex]tan(30)=\frac{q}{55} =.577[/tex]

We solve for 'q':

[tex]q=.577*55=31.7[/tex]

Now to solve for 'p', we first will calculate what '55-p' is equal to.

First, we realize '55-p' corresponds to the adjacent side to the angle of 50 inside the small right triangle (the one with inner angles of 50, 40, 90) and q (which we now know is 31.7) correspond to the opposite side. Hence, we again use tangent as follows:

[tex]tan(50)=\frac{q}{55-p} =\frac{31.7}{55-p} =1.19[/tex]

We solve for 'p':

[tex]1.19(55-p)=31.7\\65.5-1.19p=31.7\\1.19p=33.8\\p=\frac{33.8}{1.19}=28.4[/tex]

Answer:

[tex]f(x) = 3(x - 1)^2-3[/tex]

Step-by-step explanation:

Given

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

Required

Write as:

[tex]f(x) = a(x - h)^2 + k[/tex]

In [tex]f(x) = 3x^2 - 6x + 6[/tex], the coefficient of x is -6

Divide by 2: -3

Square: 9

Add 9 - 9 to the above equation

[tex]f(x) = 3x^2 - 6x +9-9+ 6[/tex]

Split to 2

[tex]f(x) = [3x^2 - 6x +9]-[9- 6][/tex]

[tex]f(x) = [3x^2 - 6x +9]-[3][/tex]

Factorize:

[tex]f(x) = [3x^2 - 3x -3x+9]-[3][/tex]

[tex]f(x) = [3x(x - 1) -3(x-1)]-[3][/tex]

[tex]f(x) = [(3x - 3)(x-1)]-[3][/tex]

Factorize 3x - 3

[tex]f(x) = [3(x - 1)(x-1)]-[3][/tex]

[tex]f(x) = 3(x - 1)^2-[3][/tex]

[tex]f(x) = 3(x - 1)^2-3[/tex]

Answer:

n=5

Step-by-step explanation:

6n=30

n=30 /÷6

n=5

Answer:

scalene triangle

..... .

Answer:

5u-15=10 |+15

5u=25 |:5

u=5

The solution is 25

I hope it helps

have anice day

Answer:

54, 63

Step-by-step explanation:

6 x 9 = 54

7 x 9 = 63

Answer:

angle 7

Step-by-step explanation:

Answer:

angle 7 angle forms a pair of alternate

exterior angles with angle 2.

Answer:‍♀️

Step-by-step explanation:

Answer:

15=0.5x+4

Step-by-step explanation:

Answer:

1.1.1) -61

1.1.2) Term 42

Step-by-step explanation:

Tn= dn (difference) + t0 (term 0)

Tn= -4n+ 11

You can now take this general rule to find out the other terms.

Tn= -4(18)+11

Tn= -61

And the term -157

Tn= -4n+11

-157= -4n + 11

-157 - 11= - 4n

-168= -4n

-168/-4= n

42= n

Answer:

6 / 8 or 3 / 4

Step-by-step explanation:

Subtraction lol

Answer:

X=75

Y=5X+100

Y=5*75+100

Y=375+100

Y=475

Therefore, you burnt 475 calories if you walked for 75 minutes

Answer:

it's less than

Step-by-step explanation:

12/8 simplified is 3/2

11/6 cannot be further simplified

3/2<11/6

Answer:

80cm2

Step-by-step explanation:

Answer: C 144 BABA

Step-by-step explanation:

Answer:

63 units

Step-by-step explanation:

Answer:

y = -x - 1

y = 1.5x + 6

(-3, 2)

Step-by-step explanation:

y = mx + b

y-intercepts are plotted on the graph

slope = rise over run

Solution is plotted on the graph

Answer:

the answer is (-3, 2)

value of x = -3

value of y = 2

Answer:

0.03

Step-by-step explanation:

Answer: 1.7004 × 10^2

Step-by-step explanation:

Answer:

5.5×5.5=30.5

we rounded 30.25 in nearest tenth it becomes 30

Answer:

C.] 5.5

Step-by-step explanation:

It is mentioned that the number was multiplied by the number itself.

Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:

x × x = 30

[tex]x^{2}[/tex] = 30

x = [tex]\sqrt{30}[/tex]

x = 5.47 = 5.5 (to the nearest tenth)

Answer:

SAS

Step-by-step explanation:

ITS CORRECT CUZ SAME ANGLE, AND TWO OF THE SAME SIDES