Please help urgently!

Please Help Urgently!

Answers

Answer 1

Answer:

[tex]a=-6\quad and \quad b=8[/tex]

Step-by-step explanation:

[tex]\frac{8-\sqrt{18}}{\sqrt{2}}=\frac{\sqrt{2}}{\sqrt{2}}\times \frac{8-\sqrt{18}}{\sqrt{2}}\\\\=8\sqrt{2}-\sqrt{2}\cdot \sqrt{18}\\\\=8\sqrt{2}-\sqrt{36}\\\\=-6+8\sqrt2[/tex]

By comparing the last expression with  [tex]a+b\sqrt{2}[/tex], we get:

[tex]a=-6\quad and \quad b=8[/tex]

Best Regards!

Answer 2
For a: a = 4√2 - 3 - b √2

For b: b = ( 4√2 - 3 - a )√ 2 / 2

Related Questions

When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long. Emma's length . Percent Change = Amount of Change Original Amount = 5.75 20.5 = 0.2804 The approximate percent change in her length was?

Answers

Answer:

28%

Step-by-step explanation:

Emma's length at birth = 20.5 inches.

Her length after 6 months = 26.25 inches

Change in Emma's length = (26.25 - 20.5) inches

                                            = 5.75 inches

Percentage change in her length = [tex]\frac{Change in her length}{Her length at birth}[/tex] × 100

                                                        = [tex]\frac{5.75 inches}{20.5 inches}[/tex] × 100

                                                        = 28.049%

The approximate percent change in her length is 28%.

Answer: to simplify its d on the first drop-down menu then b on the second one

Step-by-step explanation: hope this helps brainiest plz and don't forget A heart

please help me for the brainliest answer

Answers

Answer:

aₙ= -2n²

Step-by-step explanation:

Solution 1:

The sequence:

-2, -8, -18, -32, -50

The difference between the terms:

-6, -10, -14, -18a₁= -2a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)...aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²

As per above, the nth term is: aₙ= -2n²

Solution 2

The sequence:

-2, -8, -18, -32, -50-2*1, -2*4, - 2*9, -2*25-2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²aₙ= -2n²

Factorize x^3-10x^2-53x-42

Answers

Answer:

(x+1)(x-14)(x+3)

Step-by-step explanation:

The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.

According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0

In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42

f(-1) = 0

Therefore (x+1) is a factor of the polynomial.

Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.

We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.

Therefore (x^2)-11x-42 factosied is (x-14)(x+3)

Now merge (x+1) with (x-14)(x+3)

The final answer is (x+1)(x-14)(x+3)

If this has helped, please consider making this the Brainliest answer!

Answer:

(x+1)(x+3)(x-14)

Step-by-step explanation:

=> x³-10x²-53x-42

We'll break 10x² and -53x into parts

=> x³+x²-11x²-11x-42x-42

Taking common

=> x²(x+1)-11x(x+1)-42(x+1)

Taking x+1 as common will make it

=> (x+1)(x²-11x-42)

Using mid term break formula

=> (x+1)(x²-14x+3x-42)

=> (x+1)[x(x-14)+3(x-14)]

Taking (x-14) as common

=> (x+1)(x+3)(x-14)

This is the required factorized form.

Hope it helps :)

Find the least number which must be added to 6203 to obtain a perfect square.
Also, find the square root of the number so obtained.

Answers

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

Six standard 6-sided dice are rolled, and the resulting numbers are multiplied together. What is the probability that the product is divisible by 125?

Answers

Answer:

1453/23328

Step-by-step explanation:

Since we are going to have at least three 5's to obtain a number divisible by 125, the number of ways we can combine exactly three 5's is ⁶C₃. The number of ways we can combine the remaining dice without containing a five is 5³, since there are 3 remaining dice. So, for exactly three 5's , we have ⁶C₃ × 5³. Similarly, for exactly four 5's, we have ⁶C₄ × 5² (5² since there are two dice left). Also, for exactly five 5's, we have ⁶C₅ × 5¹ (5¹ since there are one die left). Finally, for exactly six 5's, we have ⁶C₆ × 5⁰(5⁰ since there are no dice left without a five).

So, for at least three 5's, we have ⁶C₃ × 5³ + ⁶C₄ × 5² + ⁶C₅ × 5¹ + ⁶C₆ × 5⁰

= 20 × 125 + 15 × 25 + 6 × 5 + 1 × 1

= 2500 + 375 + 30 + 1

= 2906 ways

The total number of ways of combining the six dice is 6⁶

So, the probability of obtaining a product divisible by 6 is thus P = 2906/6⁶ = 2906/46656

= 1453/23328

Using the binomial distribution, it is found that there is a 0.0536 = 5.36% probability that the product is divisible by 125.

The product will be divisible by 125 in two outcomes:

3 of the dices result in 5, as [tex]5^3 = 125[/tex]6 of the dices result in 5, as [tex]5^6 = 5^3 \times 5^3[/tex]

For each dice, there are only two possible outcomes, either the result is 5, or it is not. The results of the dices are independent, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

Six dices are rolled, hence [tex]n = 6[/tex].Each number is equally as likely, hence the probability of a 5 being rolled, that is, a success, is [tex]p = \frac{1}{6} = 0.1667[/tex].

The probability that the product is divisible by 125 is:

[tex]p = P(X = 3) + P(X = 6)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{6,3}.(0.1667)^{3}.(0.8333)^{3} = 0.0536[/tex]

[tex]P(X = 6) = C_{6,6}.(0.1667)^{6}.(0.8333)^{0} \approx 0[/tex]

Then:

[tex]p = P(X = 3) + P(X = 6) = 0.0536 + 0 = 0.0536[/tex]

0.0536 = 5.36% probability that the product is divisible by 125.

A similar problem is given at https://brainly.com/question/24863377

5, 14, 11, 16, 7, 5, 18, 9 What is the median?

Answers

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

10 is the answer because it’s between 9 and 11.

Need help quickly!!!

Answers

Answer:

Ok,first write the 2 points

(0,6)(9,3)

Second,find the slope with this formula

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{3-6}{9-0}[/tex]

[tex]m=\frac{-3}{9}[/tex]

[tex]m=\frac{-1}{3}[/tex] this is the slope

The slope intercept form for 2 points is:

y-y1=m(x-x1)

[tex]y-6=\frac{-1}{3} (x-0)[/tex] This is the final equation.

I hope this help :)

Find the area of the circle R=3ft

Answers

Answer:

28.27 ft²

Step-by-step explanation:

Area of the circle is equal to πr².

Where r is the radius.

π(3)²

9π = 28.274334

The area of the circle is 28.27 ft² approximately.

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (3)^2

A = 9pi

Letting pi be approximated by 3.14

A = 9 * 3.14

A=28.26 ft^2

If we use the pi button

A = 28.27433388 ft^2

Please help! WILL mark as brainliest! I'm rly struggling

Answers

Answer:

Since we know the number 8 is in all 3 shapes we know D is 8. The clue after that tells us that C is brown. Since brown, purple, and orange are in the circle that means that D is either purple or orange but since the purple section has 5 and D is 8 we know that D is orange, B is purple, and B is 5. Since the blue section is only in the triangle, we know that F is blue. From the last clue we know that A is green. Since green and pink are in the rectangle only, G is pink. Using the third clue we know that E and F are 6 and 1 but we don't know which is which. Thankfully, since we know F is blue and the yellow section is 1, we can conclude that F is 6, E is yellow, and E is 1. We know that A and G are 3 and 4 but we don't know which is which, and we know C is 9. Since A's number is smaller than G's we know that A is 3 and G is 4.

Can someone help me do this please

Answers

C. 7.5

3/4 = .75
7.5/10 = .75

Answer:

7.5

Step-by-step explanation:

cross multiply

30=4x

7.5=x

Find the slope of the line that passes through the points
shown in the table.
The slope of the line that passes through the points in
the table is
y
-14
8
-7
6
0
4
7
N
14
0

Answers

Answer:

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

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 14, 8 ) and (x₂, y₂ ) = (- 7, 6) ← 2 ordered pairs from the table

m = [tex]\frac{6-8}{-7+14}[/tex] = [tex]\frac{-2}{7}[/tex] = - [tex]\frac{2}{7}[/tex]

Answer:

-2/7

Step-by-step explanation:

What is the final amount if 1885 is increased by 5% followed by a further 18% increase?
Give your answer rounded to 2 DP.

Answers

Answer:

Answer = 2,335.52

Step-by-step explanation:

Given amount : 1,885

Finding 5%  of 1,885 =  0.05 * 1,885

5% of 1885 = 94.25

Now 1885 increased by 5% =  1,885 + 94.25= 1,979.25

Finding further 18% of 1,979.25 = 0.18 * 1,979.25

18% of 1979.25 = 356.265

Final amount = 1,979.25 + 356.265

Final Amount = 2,335.515

Now Rounding off the answer to 2 decimal points we get:

Answer = 2,335.52

(As the third digit after decimal is 5 so previous will be added b 1)

What is the range of the function?

The function f(x) = (x - 4)(x - 2) is shown.

10

O all real numbers less than or equal to 3

O all real numbers less than or equal to - 1

O all real numbers greater than or equal to 3

O all real numbers greater than or equal to - 1

Answers

Answer:

The range of the function is all real numbers greater than or equal to -1.

Step-by-step explanation:

Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:

[tex]y - k = C \cdot (x-h)^{2}[/tex]

Where:

[tex]C[/tex] - Vertix parameter, dimensionless. If [tex]C > 0[/tex], then vertix is an absolute minimum, but if [tex]C < 0[/tex], vertix is an absolute maximum.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h[/tex] - Location of the vertix with respect to the independent variable, dimensionless.

[tex]k[/tex] - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.

First, we have to expand polynomial into its standard form:

[tex]y = (x-4)\cdot (x-2)[/tex]

[tex]y = x^{2}-6\cdot x +8[/tex]

Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:

[tex]y = x^{2}-6\cdot x + 9 -9 + 8[/tex]

[tex]y = (x-3)^{2} -1[/tex]

[tex]y + 1 = 1 \cdot (x-3)^{2}[/tex]

Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is [tex]k = -1[/tex]. Therefore, the range of the function is all real numbers greater than or equal to -1.

If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz

Answers

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Which table represents a linear function that has a slope of 5 and a y-intercept of 20? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60. A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if u tell fast I'll mark ur Brainliest. It's a deal

Answers

Answer:

the coordinates of y are (1,-4)

Step-by-step explanation:

by using midpoint formula

z(x,y)=([tex]\frac{x1+x2}{2}[/tex],[tex]\frac{y1+y2}{2}[/tex])

putting the values of coordinates

(3,-1)=[tex]\frac{5+a}{2}[/tex],[tex]\frac{2+b}{2}[/tex]

separating the coordinates

3=[tex]\frac{5+a}{2}[/tex]                and           -1=[tex]\frac{2+b}{2}[/tex]

3×2=5+a                and      -1×2=2+b

6=5+a                  and        -2=2+b

6-5=a                    and          -2-2=b

1=a                            and            -4=b

so the actual coordinates of y are (1,-4)

i hope it will help you

(I'LL MARK U BRAINLIEST BUT PLS HELP FIRST)
Care packages cost $6.25 each and certificates cost $4.50 each. Mr. Fernandes has a budget of $550 to purchase both care packages and certificates. If he purchases 45 certificates, what is the maximum number of care packages he can purchase?

A) State maximum number of care packages he can purchase
B)Explain how you got it

Answers

Answer:

55

Step-by-step explanation:

find how much it costs to buy 45 certificates, subtract that from the original budget then divide that by 6.25 and remove the decimals

Answer:

He can buy up to 55 care packages

Step-by-step explanation:

c = certificates

p = packages

6.25p + 4.50c ≤ 550

c = 45

6.25p + 4.50(45) ≤  550

6.25p + 202.50 ≤  550

Subtract 202.50 from each side

6.25p + 202.50 -202.50 ≤  550-202.50

6.25p  ≤  347.50

Divide each side by 6.25

6.25p/6.25  ≤  347.50/6.25

p  ≤  55.6

Since we cannot buy part of a care package

p ≤55

Satnam is making a cake. he uses a batter made of 150g of dry ingredients.if the liquid has to be two sevenths of the total weight of the batter, how much liquid should he add? please help thank you

Answers

Answer:

Answer- 85.7 g

300:7= 42.85

42.85x2=85.7

Step-by-step explanation:

Answer:

42.85

Step-by-step explanation:

Since the liquid has to be 2/7 of the batter, and the batter is 150g, then that means we should multiply 2/7 by 150. This is thus 42.85

p inversely as( m + 1 ). when p = 4, m = 8 . (a)Find a equation connecting P and ( m + 1 ). (b)calculate the value of p when m = 11​

Answers

Answer:

a. p= 36/(m + 1)

b. p = 3

Step-by-step explanation:

If p varies inversely as (m + 1)

then p = k × 1/(m + 1). {Where k is the constant}

when p = 4, m = 8, that means 4 = k/(8 + 1)

4 × 9 = k and k = 36

a. Therefore the equation is p= 36/(m + 1)

b. When m = 11,

p = 36/(11 + 1)

p = 36/12

p = 3

Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the y-axis at (0, 9) and exits the plane at (8, 1). What is the domain of this function?

Answers

Answer:

The domain of y = f(x) is [0,8]

Step-by-step explanation:

Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.

So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.

So, the domain of the function y = f(x) is [0,8]

Answer:

y = f(x) is [0,8]

Step-by-step explanation:

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Answers

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

What is the product of the binomials (4a – 1) and (2b + 3)?

Answers

Answer:

8ab+12a-2b-3

Step-by-step explanation:

(4a–1)(2b+3)

Use the FOIL method:

First: 8ab

Outer: 12a

Inner: -2b

Last: -3

8ab+12a-2b-3

8a +12a-3b
Just put everything on the left side as always remember that dont forget so put all the A together then put all the b

You guys I don’t even know how to start this help please!!!

Use the right triangle below to solve.

Which trig function should be used to find side AB if you know the measure of angle A and side CB?

A sine
B cosine
C tangent
D none of these

Answers

option A

use sin because it's formula is opposite/hypotenuse

=BC/AB

HERE'S YOUR ANSWER GIRLFRIEND ♥️♥️

Don't forget to follow

You know the opposite side of the angle and want to find the hypotenuse

Sin(angle) = opposite/ hypotenuse

You would use the sine function

1. 201 - (-8) - 231 =


2.632+(-196)-(-23) =




Answers

Step-by-step explanation:

1) -22

2) -172.368

hope it helps

The answers are
1.
201-(-8)-231 =
201+ 8-231 =
209 - 231 = -22
2.
632 - 196 - ( - 23 )
632 - 196 + 23
655 - 196
= 459

which is the graph of linear inequality x-2y>-12

Answers

Answer:

y> -6 -1/2x

Step-by-step explanation:

Well to graph it we have to first put it in propper form.

So to get x on the other side we do -x to the other side so now we have 2y > -x -12.

So now to get y by itself we divide everything by 2.

So y> -6 -1/2x.

Answer:

y> -6 -1/2x

Step-by-step explanation:

An equilateral triangle has an apothem measuring 2.16 cm
and a perimeter of 22.45 cm.
What is the area of the equilateral triangle, rounded to the
nearest tenth?
2.7 cm
4.1 cm2
16.2 cm2
24.2 cm
2.16 cm

Answers

Answer:

d)   24.2 cm²

Area of equilateral triangle  A = 24.22 cm²

Step-by-step explanation:

Step(i):-

Perimeter of equilateral triangle  = 3 a

Given  Perimeter of equilateral triangle  = 22.45 cm

   now   3 a = 22.45

  Dividing '3' on both sides,we get

             a = 7.48 cm

Step(ii):-

Area of equilateral triangle

                                  [tex]A = \frac{\sqrt{3} a^{2} }{4}[/tex]

                                   [tex]A = \frac{\sqrt{3} (7.48)^{2} }{4}[/tex]

                                  A = 24.22 cm²

Conclusion:-

Area of equilateral triangle  A = 24.22 cm²

Answer:

The answer is 24.2

Step-by-step explanation:

on edg. 2020

Circle P is shown. Line segment J K is a diameter, and line segment N O is a tangent that intersects the circle at point J. Point L is on the circle between points J and K. Point M is on the circle between points J and K. The measure of ∠KJN is 92°. What is the measure of Arc J M K? PLZZZ I need an explanation

Answers

Answer:

aap web wax azathioprine LP sunil arthik zero aap drop arthik cup subletting did dystrophy uSf hi kholi yug hi hai hi eid oi chuke oi ifI9e

The temperature in Ottawa starts at -4°C, rises 14°C, and then falls 8°C. What is the final temperature?

Answers

Answer:

2 degrees celsius

The final temperature in Ottawa is 2°C.

We have,

Given:

Initial temperature = -4°C

Temperature rise = 14°C

Temperature fall = -8°C

The formula to calculate the final temperature.

Final temperature = Initial temperature + Temperature rise + Temperature fall

Final temperature = -4°C + 14°C + (-8°C)

Simplify

Final temperature = -4°C + 14°C - 8°C

Final temperature = 2°C

Therefore,

The final temperature in Ottawa is 2°C.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

Which of the statements is true please show work

Answers

Answer:

f(4)>g(4)

Step-by-step explanation:

f(x)=3x^5 ,  f(4)= 3072

g(x)=11*4^x when x=4 then g(4)=2816

When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help

Answers

Answer:

a = - 8

Step-by-step explanation:

A polynomial divided by factor (x - h) has a remainder given by f(h)

Here the divisor is (x - 2), thus f(2) gives the remainder, that is

2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder

8 + 8 - 14 + a = 4, that is

12 + a = 4 ( subtract 12 from both sides )

a = - 8

Other Questions
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