Can you please solve this?!?​

Can You Please Solve This?!?

Answers

Answer 1

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Given :-

Here, We have,

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

To Prove :-

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Let's Begin :-

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Let [tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}{\sf{ = k}} [/tex]

Therefore,

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

[tex]\sf{√(a - b - c)(b-c-d) }[/tex]

[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]

[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]

[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]

By solving LHS :-

[tex]\sf{√ab - √bc - √cd}[/tex]

[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]

[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]

[tex]\sf{dk²√k - dk√k - d√k}[/tex]

[tex]\sf{(dk² - dk - d)√k}[/tex]

[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]

From eq(1) and eq(2)

[tex]\bold{\red{ LHS = RHS }}[/tex]

That is,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Hence proved .
Answer 2

Yes, the RHS and the LHS are equal/

Calculations and Parameters:

Given:

[tex]a/b= b/c = c/d[/tex]

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

a = bk, b = ck, c = dka = dk³ , b = dk² , c = dk

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

Read more about maths expressions here:

https://brainly.com/question/2164351


Related Questions

9) What is the area of the triangle?
A) 66 yd?
B) 132 yd?
C) 136 yd
D) 272 yd

Answers

Answer:

C) 136 yd²

Step-by-step explanation:

[tex]\textsf{\large Area of a triangle:}\ \dfrac{1}{2}\cdot b \cdot h[/tex]

Given:

Base: 16 yd.Height: 17 yd.

Substitute the given values into the formula.

[tex]\begin{aligned}A\triangle&=\dfrac{1}{2}(16)(17)\\ &=8(17)\\&=\boxed{136}\end{aligned}[/tex]

The area of the triangle is 136 yd².

What is the quotient of 840 divided by 70 with a remainder?

Answers

Answer:

the quotient is 12 and there is no remainder

Step-by-step explanation:

round to the nearest hundredths

Answers

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

[tex]cos(65) = \frac{AC}{7}[/tex]

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

In right triangle ABC, C is the right angle. What does sinB equal? options: sinB, cosB, cosA, not enough information

Answers

Answer:

Answer: cos(A)

Step-by-step explanation:

» From trigonometry,

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

[tex]{ \tt{ \red{ \sin(B) = \frac{AC}{AB} }}} \\ [/tex]

» For cosine:

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \red{ \tt{ \cos(A) = \frac{AC}{AB} }}}[/tex]

» Therefore, sinB = cosA

Answer:

Not enough information

explanation:

Taking sin here:

∠A + ∠B + ∠C = 180°

∠A + ∠B + 90 = 180°

∠A + ∠B = 90°

sin(A) + sin(B) = sin(90)

sin(B) = 1 - sin(A)

Taking cos here:

∠A + ∠B + ∠C = 180°

∠A + ∠B + 90 = 180°

∠A + ∠B = 90°

cos(A) + cos(B) = cos(90)

cos(A) + cos(B) = 0

cos(B) = -cos(A)

-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4

Answers

Answer:

2

Step-by-step explanation:

-3÷3 (1 + (-4) (-6 + 5) - (-6 + 1)

-3 ÷ 3 (-3)(-1) - (-5)

-3 ÷ 3(3) + 5

-3 ÷ 3 = -1

-1(3) + 5

-3 + 5 = 2

I hope this helps!

sam knows that 1 inch is about 2.54 centimeters. about how many centimers is 3 inches

Answers

3 inches is about 7.62cm

i literally have a test tomorrow and dont know what to do please help

Answers

B is yes and the rest are no. B is the only solution where y equals 1.

Answer:

(-6, 1)

Step-by-step explanation:

y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number.  Four points are given.  y = 1 for only one of them:  (-6, 1).  Answer "Yes" for this one point (the one in the second row).

i really need some help on this math problem?can you help me

Answers

Answer:

7 units

Step-by-step explanation:

Forming an equation:

There is a one-time signup fee. Let that be represented by "a".

Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.

==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.

If we represent her total cost after membership by "y", our equation becomes:

[tex] \boxed{ \sf{y = a + bx}}[/tex]

We're provided with three values of x and y.

When x = 6, y = 133When x = 12, y = 175When x = 24, y = 259

The solution to the equation:

Substitute the respective values of x and y into the equation.

#1

133 = a + 6b

==> a = 133 - 6b

#2

175 = a + 12b

Since we only need the values of two variables we'll use only two equations.

Substituting from #1 for a:

175 = (133 - 6b) + 12b

==> 175 = 133 + 6b

==> 175 - 133 = 6b

==> 42 = 6b

==> b = 7

And b is the amount she pays each week.

So, the answer is 7 units.

An unknown number is twelve less than
four

Answers

Answer:

-8

Step-by-step explanation:

4 - 12 = -8 hope I'm right lol

The other person is correct -8 is the answer you can also use a calculater if you are unsure

what is the slope of y−4=−7(x−6)

Answers

Answer:

slope = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

Answer:

M= -7

Step-by-step explanation:

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

pls branliest

PLEASE HELP DUE TODAY PLEASE HELP DO THE WHOLE PAGE PLEASE SHOW YOUR WORK PLEASE ​

Answers

Ok brother tell me what is your problem

Answer:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Step-by-step explanation:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hour slower than the westbound train. If the two trains are 570 miles apart after 3 hours, what is the rate of the eastbound train?

Answers

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104


Eastbound Train: 86mph

Westbound Train: 104mph

Please help FAST!!!!!

Answers

Answer:

Step-by-step explanation:

Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.

I WILL REPORT IF ANY LINKS

Answers

Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\[/tex]

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

Answer:  $17.50

=====================================================

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Answer: 4 days

Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°

Answers

Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles

Work out the sum of the first 60 terms of the following arithmetic series:
100 + 94 + 88 +...

Answers

Answer:

[tex]S_{60}=-4620[/tex]

Step-by-step explanation:

[tex]S_n=\frac{n}{2}[2a_1+(n-1)d]\\ \\S_{60}=\frac{60}{2}[2(100)+(60-1)(-6)] \\\\S_{60}=30[200+(59)(-6)]\\ \\S_{60}=30[200-354]\\ \\S_{60}=30[-154]\\\\S_{60}=-4620[/tex]

what is 3/8 x(1 -1/3)

Answers

Answer:

1/4x

Step-by-step explanation:

3/8x(1-1/3)

3/8x - 1/8x = 1/4x

I hope that's right.

Drag each number to show whether it is a prime number or a composite number.


Three of the numbers are prime, and three are composite.


Prime:

Composite:

26,3,33,85,61,41

pls help me

Answers

PRIMES: 3, 61, 41

COMPOSITES: 26,33,85

Compare the decimal numbers 0.447 and 0.474

Answers

Answer:

0.027

Step-by-step explanation:

0.474 - 0.447

= 0.027

Answer:

0.027 or 0.447 is greater than 0.474

Step-by-step explanation:

Solve the inequality.​ Then, graph the solution 15x ≥ −60

Answers

Answer:

A closed circle on -4, going to the right.

Step-by-step explanation:

15x ≥ −60

/15     /15

x ≥ -4

This is a closed circle on -4, going to the right.

Hope that helps!

Montrer que le cube d’un nombre pair est un multiple de 8

Answers

Answer:

so the answer is 16? I dont know , need a better explanation on the question. ill answer until then.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer might be 56

how can i solve it formula y= mx + b

Answers

Answer:

y = 4/3x - 4

Step-by-step explanation:

you are given b

so y = mx -4

you can look at the graph and see the slope from there. like the y-intercept and the x-intercept

(0,-4) and (3,0)

slope formula is y2-y1/x2-x1

and so you do -4-0/0-3

-4/-3.

so your slope formula would be

y = 4/3x - 4

what is 13,300 divisble by

Answers

Answer:

the answer is 133×100 is 13,300........

1/4 + -3/4 fractions

Answers

-2/4

hope this helps

A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six
digits. The first digit cannot be 4 and the last digit must be even. How many different codes are available? (Note that 0
is considered an even number.)

Answers

Answer:

450,000

Step-by-step explanation:

The first digit has 9 choices

Digits 2 through 5 each have 10 choices

Digit 6 has 5 choices.

9 * 10 * 10 * 10 * 10 * 5 = 450,000

round 691 513 to the nearest thousand​

Answers

[tex]691 \: 513 \: = > nearest \: to \: thousands \\ = > \: \: \: \: \: \: \: \: 692 \: 000[/tex]

c. help please i need asap

Answers

Hope this helps!


Answer:

Can someone please help me? I will mark as brainliest. Thank you!!

Answers

Answer:

a = 6.5 mperimeter = 52 m

Step-by-step explanation:

The shape is a trapezoid on top of a parallelogram. The areas of each of the figures can be found separately, then added together.

Trapezoid area

The area formula is ...

  A = 1/2(b1 +b2)h . . . . where b1, b2 are the base lengths and h is the height

  A = 1/2(12 +a)(7) = 3.5(12 +a) = 42 +3.5a

__

Parallelogram area

The area formula is ...

  A = bh

  A = (12)(9) = 108

__

The area of the figure is then ...

  total area = trapezoid area + parallelogram area

  172.75 = 42 +3.5a + 108

  22.75 = 3.5a . . . . . . . . . . . . subtract 150

  6.5 = a . . . . . . . . . . divide by 3.5

The length 'a' is 6.5 meters.

__

Perimeter

The perimeter is the sum of the side lengths. Opposite sides of the parallelogram are the same length. Clockwise from the bottom left, the sum of side lengths is ...

  P = 9.2 +7.8 +6.5 +7.3 +9.2 +12 . . . meters

  P = 52 . . . meters

The perimeter is 52 meters.

Milo needs $225 for a new jaket. He already has $54. He earns $9 an hour working for his dad. The equation shows this relationship. How many hours does Milo
need to work for his dad in order to have enough money to purchase the jaket

Answers

He needs to work a little over 22 hours.
Given:Money needed to buy new jacket = $225Money he already has $54He earns per hour = $9

[tex] \\ \\ [/tex]

To find:-Total hours Milo need to work for his dad

[tex] \\ \\ [/tex]

Let :Total hours Milo need to work for his dad be x

[tex] \\ \\ [/tex]

Solution:

So as we know he already has $54

Actual Money needed = Money needed to buy new jacket – Money he already has

Actual Money needed =$225 - $54

Actual Money needed = $171

Equation formed to find value of x :-

[tex] \leadsto \sf9x = 171[/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf x = \dfrac{171}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{3 \times 3 \times 19}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 3 \times 19}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 19}{ \cancel3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \bf x = 19[/tex]

[tex] \\ \\ [/tex]

[tex]\therefore \underline {\textsf{\textbf{No. of hours required is equal to\red{ 19 hours}}}}[/tex]

PLEASE HELP ME WITH THIS I NEED HELP

Answers

Answer:

a. y = -x

b. Area = xy

c. x = -y

Step-by-step explanation:

a. The perimeter of the garden is the distance all the way around, in this would be x+y+x+y, or 2x + 2y. To solve for y, we’re trying to isolate it on one side. We need to subtract 2x to get 2y = -2x. Divide by 2 to get y = -x.

b. Area is length times width, so x • y, or xy.

c. To express in terms of x, we can take the equation y = -x and multiply it by -1 to get x = -y

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