Factorise x²-5 please

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

Answer:

(2.236067978)(2.236067978)

=5 ans.

If this is incorrect forgive me

I hope this will help you

stay safe

Answer:

b is the answer

Step-by-step explanation:

Answer:

hope it was helpful!! You are welcome to ask any question

Answer:

Step-by-step explanation:

1) 7 - ( 3+4) = 7 + [- (3+ 4)] =  7 + (-3) + (-4)    

(-) is distributed to 3 and 4

A

2) C

I (-3) -  4 I

3) 5 + 3 = 8 miles

B

Answer:

[tex]\frac{\pi }{3}[/tex]

[tex]2 * \pi * 3 * \frac{20}{360}[/tex]

120[tex]\pi[/tex]/360 = [tex]\frac{\pi }{3}[/tex]

Step-by-step explanation:

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

OAmalOHopeO

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6

Answer:

12 miles/hour

Step-by-step explanation:

8am to 9pm = 13 hours

in that time we were driving 179-23 = 156 miles.

so, our speed was 156 miles / 13 hours.

now simplify it to our standard miles/hour format :

156/13 = 12

therefore, or standardized speed was

12 miles/hour

Answer:

The answers are option B and E.

Answer:

x is ten

Step-by-step explanation:

9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Answer:

{ 1,3,4,6,7}

Step-by-step explanation:

Do B∩C first

This is B intersect C which  means what they have in common

B∩C = {3,6,7}

Then A∪(B∩C)

A union   {3,6,7} which means join together ( combine with no duplicates) the two sets

{ 1,3,4,6,7}

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

Answer:

The right answer is:

(a) [tex]P(t) = P_o \ e^{0.03536t}[/tex]

(b) [tex]t = 14 \ years \ 6 \ months[/tex]

(c) [tex]P(t) = =621,595.6[/tex] ($)

Step-by-step explanation:

Given:

House price increment rate,

= 3.6% annually

(a)

Let the exponential equation will be:

⇒ [tex]P(t) = P_o e^{Kt}[/tex]

here,

t = 0

P = P₀

t = 1 yr

then,

[tex]P(1) = P_o +3.6 \ persent \ P_o[/tex]

        [tex]=1.036 \ P_o[/tex]

now,

⇒ [tex]1.036 P_o = P_o \ e^{K.1}[/tex]

 [tex]ln(1.036) = K[/tex]

            [tex]K = 0.03536[/tex]

Thus, the exponential equation will be "[tex]P(t) = P_o \ e^{0.03536t}[/tex]".

(b)

We know,

[tex]P_o = 600,000[/tex] ($)

[tex]P(t) = 10,00,000[/tex] ($)

∵ [tex]P(t) = P_o \ e^{0.03536t}[/tex]

   [tex]1000000=600000 \ e^{0.03536 t}[/tex]

              [tex]\frac{5}{3}= e^{0.03536 t}[/tex]

        [tex]ln(\frac{5}{3} )=0.03536 t[/tex]

       [tex]\frac{\frac{0.5}{0825} }{0.03536} =t[/tex]

                [tex]t = 14.45 \ years[/tex]

or,

                [tex]t = 14 \ years \ 6 \ months[/tex]

(c)

[tex]P_o=600,000[/tex] ($)

[tex]t = 1 year[/tex]

Now,

⇒ [tex]P(t) = P_o \ e^{0.03536 t}[/tex]

           [tex]=600000 \ e^{ 0.03536\times 1}[/tex]

           [tex]=621,595.6[/tex] ($)

Answer: A. 3/5

Step-by-step explanation:

Assuming that they are colorful blocks,

Blue blocks: 1, 2

Even blocks: 2, 4, 6, 8, 10

The net total of blue and even blocks:

However, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.

We analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:

Hope this helps!! :)

Please let me know if you have any questions

Answer:

24x^4

Step-by-step explanation:

((2x²) (3x) (4x)

Add the exponents when multiplying

2*3*4 x^(2+1+1)

24x^4

[tex]\bf \rightarrow \:(5 {x}^{2} - x - 3) \: \: (2x + 6) \\ \\ \bf \small \rightarrow \:10 {x}^{3} - 2 {x}^{2} - 6x + 30 {x}^{2} - 6x - 18 \\ \\ \bf \rightarrow \:10 {x}^{3} + 28 {x}^{2} - 12x - 18[/tex]

༆ Option D is the correct answer༆

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

Answer:

k ≥ 4

Step-by-step explanation:

A Quadratic equation is given to us and we need to find out the value of k for which the equation has real roots. The given equation is ,

[tex]\rm\implies kx^2 +4x +1=0[/tex]

With respect to Standard form of Quadratic equation :-

[tex]\rm\implies ax^+bx+c=0[/tex]

For real roots ,

[tex]\rm\implies Discriminant = b^2-4ac\geq 0[/tex]

Substitute the respective values ,

[tex]\rm\implies b^2-4ac \geq 0\\[/tex]

[tex]\rm\implies 4^2 - 4(k)(1) \geq 0 \\[/tex]

Simplify the LHS ,

[tex]\rm\implies 16 - 4k \geq 0 \\[/tex]

Add 4k both sides ,

[tex]\rm\implies 4k\geq 16 [/tex]

Divide both sides by 4 ,

[tex]\rm\implies \boxed{\blue{\rm k \geq 4}}[/tex]

Answer:

this was from plato

Step-by-step explanation:

Answer:

Any point on the circle must be at a distance from the center equal to the length of the circle’s radius. In this example, the radius is 3.61 units, AC = 4.24, and AD = 3.61. Point D, which lies on the circle, has the same distance from the center as the length of the radius. Point C, which lies outside the circle, is at a different distance from the center than the length of the radius.

Answer:

Yeah

Step-by-step explanation:

Answer:

49 bricks

Step-by-step explanation:

because it's getting smaller my 4