Mathematics High School

Please help this question..​

Please Help This Question..

Answers

Answer 1

Step-by-step explanation:

2).

Given that 1/(7+5√2)

We know that

The Rationalising factor of a+√b is a-√b

The denominator = 7+5√2

The Rationalising factor of 7+5√2 is 7-5√2

On Rationalising the denominator then

=> [1/(7+5√2)]×[ (7-5√2)/(7-5√2)]

=> [1×(7-5√2)]/(7+5√2)(7-5√2)]

=> (7-5√2)/[(7+5√2)(7-5√2)]

=> (7-5√2)/[7²-(5√2)²]

Since , (a+b)(a-b) = a²-b²

Where , a = 7 and b = 5√2

=> (7-5√2)/(49-50)

=> (7-5√2)/(-1)

=> -7+5√2

=> 5√2-7

3).

Given that (x-2)³

This is in the form of (a-b)³

Where, a = x and b = 2

We know that

(a-b)³ = a³-3a²b+3ab²-b³

=> (x-2)³ = x³-3(x²)(2)+3(x)(2)²-2³

=> (x-2)³ = x³-6x²+12x-8

The coefficient of x² is -6

Related Questions

2.3h (6-k) Simplify the expression

Answers

Answer:

18h - 3hk

Step-by-step explanation:

2h(6 - k)

= 2h(6) + 2h(-k)

= 12h + -2hk

= 12h - 2hk

Hope this helps!

Answe the question given in the image

Answers

Wow im grade four i cant answer that sorry

The sum of negative eight and a number divided by four is two

Answers

Answer:

x = 16 or [tex]\frac{-8 + x}{4} = 2[/tex]

Step-by-step explanation:

let's start from the beginning and move along!

the sum (+) of negative eight (-8) and a number (x) ----> (-8 + x)divided by four (/4) is two = 2

[tex]\frac{-8 + x}{4}[/tex] = 2

to solve this...

1) multiply both sides by four to get rid of the fraction

[tex](4)\frac{-8 + x}{4} = 2(4)[/tex] ------> -8 + x = 8

2) add 8 to both sides to isolate x ----> x = 16

Help plz stuck on this question

Answers

Answer:

X=16°

Y=121°‌

‌

‌ ‌ ‌ ‌ ‌ ‌ ‌‌ ‌ ‌ ‌ ‌ ‌‌ ‌ ‌ ‌ ‌‌ ‌‌

solve:
2sinxcosx=0.5

Answers

Answer:

Step-by-step explanation:

Someone help plz make sure it’s right will make brainiest :)

Answers

Answer:

y = -5/7(x) - 3/7

Step-by-step explanation:

1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.

2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]

[tex]b = -4 - (-\frac{5}{7}) * (5)[/tex] [tex]b = -\frac{3}{7}[/tex]

3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].

You deposit 3,950 into a bank account with simple interest rate of 4%. How can you find the balance after 3 years

Answers

$474

..................

PLS I'LL DIRECTLY MARK YOU BRAINLIST (OPTIONS ARE ON THE SECOND SLIDE )
It will be appreciated if u show with steps <3

Answers

The answer is A
Plz mark brainliest

A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?

A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people

Answers

Answer:

6104 people.

Step-by-step explanation:

1.25 means it will multiply by 1 and a fourth

2500*1.25 =3125 the first month

3125*1.25=3906.25 the second.

3906.25*1.25=4882.8125 the third

4882.8125*1.25=6103.515625

round that up and you have 6104 people.

Answer:

A) 4883

Step-by-step explanation:

Given:

Initial number = 2500Rate of increase = 1.25 timesNumber of moths passed = 4 - 1 = 3

Population is:

2500*1.25³ = 4882.8125 ≈ 4883

Correct choice is A

help plzzz
Which of the following is NOT an equivalent expression to Area of sector =

Answers

Answer:

Step-by-step explanation:

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

What is the area of a circular sector?

The area of the circular sector is the space occupied by it. The area of the circular sector is the half of the product of the angle of the sector and the radius of the circle. It can be given as,

[tex]A_s=\dfrac{r^2\theta}{2}[/tex]

Here, (r) is the radius of the circle and θ is the angle of the sector. Multiply with π/180 to convert it into the degrees.

[tex]A_s=\dfrac{r^2\theta}{2}\left(\dfrac{\pi}{180}\right)\\A_s={\pi r^2}\left(\dfrac{\theta}{360}\right)[/tex]

Thus, the option D is correct. Now, πr² is the area of circle . Thus,

[tex]\rm \text{Area of sector}=\dfrac{(Area\; of \;Circle)(Arc\; Measure)}{360^o}\\\rm \dfrac{(Area\; of \;Sector)}{(Arc\; Measure)}=\dfrac{\text{Area of sector}}{360^o}[/tex]

From the following, which is NOT an equivalent expression to Area of sector is 2πrθ/360. Option A is correct.

Learn more about the area of a circular sector here;

https://brainly.com/question/10585749

#SPJ2

the diagram shows a ABCDEF 70× 90cm

Answers

Solution :

Tan 25° =  C4/BC

=> 0.466 = CF/60

=> C4 = 27.96

A4² = AC²  + C4²

AC² = 60² + 40² = 5200

CF² = 781.76

4F² =  5200 +  781.76

=> AF² =5981.76

=> A4 = 77.3

length A4  = 77.3  cm

1) Factorise 3x^2 + 5x + 2
2) Hence, solve x^2 + 5x + 2

Answers

Answer: (x+1)(3x+2) , i only got the answer for the first question, sorry!

Step-by-step explanation:

- factorise using AC method

AC= 3 x 2 = 6

find 2 numbers that add to give 5 and multiply to give 6 (3 and 2)

- put them as x in the equation to replace 5x

3x^2 + 2x + 3x + 2

- split the equation in half and expand each side

3x^2+2x | 3x+2

x(3x+2)+1(3x+2)

- put the numbers outside the brackets into a separate bracket

= (x+1)(3x+2)

3 x (2x - 3) -6x² = 6

Answers

Answer:

= − 2/3

Step-by-step explanation:

Distribute

3x(2x - 3)-6x² =6

6x² -9x-6x² =6

Combine like terms

6x² -9x-6x²=6

-9x=6

Divide both sides of the equation by the same term

-9x=6

-9x/-9=6/-9

Simplify

x=-2/3

Solution

x=-2/3

Answer:

Step-by-step explanation:

3 x (2x - 3) -6x² = 6

6 x^-9x-6x^=6

Combine like terms

6x^-9x-6x^=6

-9x=6

Divide both sides of the equation by the same term

− 9 = 6

-9x = 6

-9     -9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=  −2

      3

HOPE IT IS HELPFUL

MARK ME AS BRAINLIEST

60 divided by 36 with a reminder

Answers

Answer:

1 remainder 24

Step-by-step explanation:

how can you show 198,000 as a power of 10 using an exponent? HURRY PLEASE

Answers

Answer:

1.98 × 10^5

Step-by-step explanation:

May be wrong though

Find the measures of two supplementary angles if their measures are given in the given ratio
11:25

Answers

Solution :

Let the measure of the supplementary angles be 11x and 25x

According to the question :

[tex] \tt \: 11x + 25x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow \: 36x = 180 {}^{ \circ} \\ \\ \\ \tt \dashrightarrow x = \frac{180{}^{ \circ} }{36} \\ \\ \\ \: \: \: \: \: \: \: \dashrightarrow \: { \underline{ \boxed{ \mathfrak{ \pmb{ \purple{x = 5}}}}}} \: \: \pink{\bigstar} \\ \\ [/tex]

So the required angles are :

11x = 11 × 5 = 55

25x = 25 × 5 = 125

Given the points (-2,-3) and (4,-6) what is the equation of the line

Answers

Answer:

The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.

Step-by-step explanation:

Determine if the two triangles are congruent if they are state how do you know SSS,SAS,HL,ASA, OR AAS. Be sure to include any extra vocabulary reflexive vertical angles alternative interior angles

Answers

1: yes AAS
2: yes SSS reflective
3: yes ASA
4: yes HL reflective
5: no SSA vertical
6: yes SAS vertical

Not sure on vocabulary for 1 and 3 sorry:(

For every 7 females at university, there are 3 males. If there are approximately 9500 females, approximately how many total students attend the university? Round to the nearest hundred.

Answers

Answer:

13571 total

13600 to nearest hundred

Step-by-step explanation:

7+3 = 10 = distribution total

9500 / 7 =  1357.14286 one part

1357.14286 x 3 = 4071.42858  = 4071 males

1357.14286 x 10 = 13571.42 is the same as

9500 + 4071 = 13571 total

= 13600 to nearest hundred

convert the following equation into standard form.
y= -7x/8 + 4

Answers

The standard form is Ax + By = C

Given y = -7/8x + 4:

Add 7/8x to both sides:

7/8x + y = -7/8x + 7/8x + 4

7/8x + y = 4 (This is the standard form, where A and B ≠ 0).

Please mark my answers as the Brainliest if you find this helpful :)

make a the subject a + 2b = 3c​

Answers

Answer:

a = -2b + 3c

Step-by-step explanation:

Step 1: Subtract 2b from both sides.

[tex]a + 2b - 2b = 3c - 2b[/tex] [tex]a = -2b + 3c[/tex]

Therefore, the answer is a = -2b + 3c.

Please help me solve this ASAP

Answers

Answer:

68.50 in

Step-by-step explanation:

first we are given the width and the length for the rectangle and so we know that 4 × 5x + 7 = 128

so we would now solve for x:

4 × 5x + 7 = 128

= 4 × 5x = 121

= 20x = 121

= x = 6.05

now we can plug in 6.05 for x and find the perimeter:

5(6.05) + 4 = 34.25

5(6.05) + 4 = 34.25

34.25 + 34.25 = 68.50

Does dividing the angle measures of a triangle change its shape?
For example, if I divide each angle measure of a triangle in half, will the triangle become smaller? Or does it not affect the size at all?

Answers

If you divide the angles by half then yes it will become smaller. Example: if an angle is 42 and u half it and it becomes 21 then it changes the shape.

But the angles do not correlate with the length. So you can have different triangle areas/perimeters and still have the same angle size.

I hope this helps! Is a bit difficult to explain heh

What is the rate of change given the table?
х
у
-2
6
st
1
16
-9
O-6/5
0-5/6
O 5/6
O 6/5

Answers

Answer:

-5/6

Step-by-step explanation:

yeah ya..... right?

There is 1 inch of water in a pool. The water level is increasing at 0.75inches/ minute. Which linear equation represents the total depth of the water in inches after x minutes?

Answers

Answer:

y= 0.75x+1

Step-by-step explanation:

This is because there is already 1 in of water in the pool and the water level is increasing at a constant rate of 0.75 in per minute.

Hope this helps! :)

Answer: this person is right its y=0.75x+1

Step-by-step explanation: took test

Select the solutions of the equation.(select all that apply)
x2+4= 0
A.-2i
B.-2
C. 2i
D.2

Answers

Answer A and C

This is because it is the sqrt(-4)
The correct answer is A and C

what is the LCD of 1/a²-1 and 1/a+1​

Answers

Answer:

[tex]a^{2} -1[/tex]

Step-by-step explanation:

The LCD, or the lowest common denominator would be [tex]a^2-1[/tex]

If we multiply the second term [tex]\frac{1}{a+1}[/tex] by [tex]\frac{a-1}{a-1}[/tex] ([tex]\frac{a-1}{a-1}[/tex] is equivalent to 1, so we can do this,) we can see that the denominator would become the same as the first term [tex]\frac{1}{a^2-1}[/tex] by difference of squares. So that creates an LCD of [tex]a^2-1[/tex]

Answer:

see the person above

Step-by-step explanation:

20 points!
question is in image, and answer choices are here:
5, 4, 8, 10

Answers

Answer: x is equal to 4

Step-by-step explanation:

A triangle's angles sums up to 180°. So we already know that the three angles in this triangle add up to 180°. The equation would be as following.

(18x - 12) + 15x + (10x + 20) = 180

We first add like terms together.

43x + 8 = 180

We then substract 8 on both sides.

43x = 172

We finally divide 43 on both sides.

x = 4

3/5 por 1/4 porfa es urgente

Answers

Answer:

2.4

Step-by-step explanation:

Brainliest pls?

HELP PLEASE I DON'T KNOW THE ANSWER I REALLY NEED HELP

Answers

They are congruent meaning the same, so I would say choice A) 27

Answer: S

Step-by-step explanation: flip the triangle and you'll see the answer.

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