Answers
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
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
Help plz stuck on this question
Answers
Answer:
X=16°
Y=121°
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
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].
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
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
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
PLS I'LL DIRECTLY MARK YOU BRAINLIST (OPTIONS ARE ON THE SECOND SLIDE )
It will be appreciated if u show with steps <3
Answers
Plz mark brainliest
Answe the question given in the image
Answers
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 = 5525x = 25 × 5 = 125what 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:
HELP PLEASE I DON'T KNOW THE ANSWER I REALLY NEED HELP
Answers
Answer: S
Step-by-step explanation: flip the triangle and you'll see the answer.
convert the following equation into standard form.
y= -7x/8 + 4
Answers
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 :)
solve:
2sinxcosx=0.5
Answers
Answer:
Step-by-step explanation:
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!
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:
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
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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
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) 4883Step-by-step explanation:
Given:
Initial number = 2500Rate of increase = 1.25 timesNumber of moths passed = 4 - 1 = 3Population is:
2500*1.25³ = 4882.8125 ≈ 4883Correct choice is A
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
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)
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.
60 divided by 36 with a reminder
Answers
Answer:
1 remainder 24
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
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:(
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
3/5 por 1/4 porfa es urgente
Answers
Answer:
2.4
Step-by-step explanation:
Brainliest pls?
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
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
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?
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
..................
Select the solutions of the equation.(select all that apply)
x2+4= 0
A.-2i
B.-2
C. 2i
D.2
Answers
This is because it is the sqrt(-4)