If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy​

Answer:

44

Step-by-step explanation:

Put in the terms.

8(5)+4

Multiply 8x5

40+4

Add

44

Answer:

44. if a = 5 and b = 4 then 8a = 8(5). 8(5) = 40. 40 + (4) = 44. hope this helps

Step-by-step explanation:

- Zombie

Answer:

The actual change in the car's value is $[tex]1700[/tex] and the relative change is [tex]7.20[/tex]%.

Step-by-step explanation:

It is given that the value of a car is dropped from $[tex]23600[/tex] to $[tex]21900[/tex].

So, the change in the value is the drop in the value of car, which is, [tex]23600-21900=1700[/tex].

So, the actual change in this car's value is $[tex]1700[/tex].

The relative change can be given by the expression,

[tex]\dfrac{\:\rm{Actual Change}}{\:\rm{Original Value}}\times100[/tex]

Substituting values, the relative change can be given by,

[tex]\begin{aligned}\dfrac{1700}{23600} \times 100&=\dfrac{1700}{236}\\&=7.20\end{aligned}[/tex]

Answer:

{-9,-8,-7,-6,-5}

Step-by-step explanation:

Set C is negative Integers greater than -10

{-9, -8, -7, -6, -5, -4, -3, -2, -1}

Elements less than or equal to -5

{-9, -8, -7, -6, -5}

Answer:

Fred is 6

Jimmy is 17

Step-by-step explanation:

Jimmy's age =2x +5

Fred's age =x

x+2x+5=23

3x=23-5

3x=18

x=6

Jimmy's age =2(6)+5=17

Fred is 6

Step-by-step explanation:

Since the the two angles are complementary, then

[tex](3x + 2) + (5x - 14) = 90[/tex]

or

[tex]8x - 12 = 90 \Rightarrow 8x = 102[/tex]

[tex]x = 12.75[/tex]

so

[tex]\angle{YXZ} = 5(12.75) - 14 = 49.75°[/tex]

Answer:

27

Step-by-step explanation:

5*4=20

20+7

27

please correct if wrong ^-^

Step-by-step explanation:

=5(4*t*7)

=5(28t)

=140t

Answer:

$45 added

Step-by-step explanation:

-5 + x = $40

40 - (-50) = $45

Answer:the answer is $35

Step-by-step -5-$40=$35

Answer:

3 packs of pencils

5 packs of erasers

Step-by-step explanation:

To solve this problem, find the least common multiple. The least common multiple is the smallest number that both terms are a factor of. In this case, that number is 30. Both 10 and 6 are a factor of 30. So, the answer is the other factor needed to get 30 through multiplication. 10's other factor is 3 and 6's other factor is 5. Therefore, the answers are 3 and 5 respectively.

Answer:

i got u

Step-by-step explanation:

Answer:

64 and 100 are the squares

Answer:

[tex]8^{2} = 8*8=64\\10^{2} = 10*10=100[/tex]

Step-by-step explanation:

Hope it helps,... Chow,...!

Answer:

700

Step-by-step explanation:

280÷4=70  or you could do 28÷4=7 then add the 0's afterword.

70•10= 700

Answer:

4pqr

Step-by-step explanation:

because pqr is 1pqr

so 1pqr + 3pqr is

4pqr

9514 1404 393

Answer:

  x = {-2/5, 2 2/3}

Step-by-step explanation:

There are several ways you can solve this. Maybe the simplest is to take advantage of the relation ...

  [tex]\sqrt{x^2}=|x|[/tex]

Squaring the absolute value expression on both sides gives ...

  (4x -3)^2 = (x +5)^2

  15x^2 -34x -16 = 0 . . . . rewrite to standard form

  (5x +2)(3x -8) = 0 . . . . . factor

  x = -2/5, +8/3

__

Check

To determine if one of these solutions is extraneous, we can try them both in the original equation. We find they both satisfy the equation, so neither found solution is extraneous.

For x=-2/5, |4(-2/5)-3| = |-2/5 +5|  ⇒  |-4 3/5| = |4 3/5| . . . . true

For x = 8/3, |4(8/3) -3| = |8/3 +5|  ⇒  |(32 -9)/3| = |(8 +15)/3| . . . . true

_____

Additional comment

Often, we solve absolute value equations using piecewise functions:

  |4x -3| = {4x -3, for x ≥ 3/4; -4x +3, for x < 3/4}

  |x +5| = {x +5, for x ≥ -5; -x -5, for x < -5}

Now, we have three regions in which to look for solutions: (-∞, -5], [-5, 3/4], [3/4, ∞).

In the region (-∞, -5], the equation is ...

  -4x +3 = -x -5   ⇒   x = 8/3 . . . . . no solution in the region

In the region [-5, 3/4], the equation is ...

  -4x +3 = x +5   ⇒   x = -2/5 . . . . . a solution in the region

In the region [3/4, ∞), the equation is ...

  4x +3 = x +5   ⇒   x = 8/3 . . . . . . a solution in the region

Note that this last equation is identical to the equation for the region (-∞, -5] with both sides multiplied by -1.

Effectively, we have found the two solutions to ±(4x -3) = (x +5). The trick is to figure whether either of those solutions lies in the region for which the respective equation is defined.

Answer:

5.4

Step-by-step explanation:

27.54 divided by 5.1 is simply 5.4

Answer:

5.4

Step-by-step explanation:

devide 27.54 to 5.1

you can use calculator so that its more easy to found out the answe

Step-by-step explanation:

9x-8=64

plss mark brainliestt

Hello :D

$40.00 x 3 = $120.00

$20.00 x 2 = $40.00

$120.00 + $40.00 = $160.00

$400.00 - $160.00 = $240.00

There is $240.00 left in the account.

Answer:

C = 35 + (0.21 × M)

Step-by-step explanation:

c = total Monthly charge

M = n of minutes.

Answer:

Answer: 2

Step-by-step explanation:

[tex] \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ [/tex]

express the mixed fraction into proper fraction:

[tex] { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}[/tex]

then solve simplify:

[tex] = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ [/tex]

solve the bracket:

[tex] = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)[/tex]

then simplify:

[tex] = \frac{2 \times 3}{3} \\ \\ = 2[/tex]

Answer:

Given,

A=90

b=15

A=12bh

Now,

Step-by-step explanation:

Put the given value in the formula

A=12bh

90=12*15*h

90=180h

90/180=h

Hence, h=0.5

Answer:

Answer:

 a) AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP

  b) ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T

  c) rotated 45° CCW, reflected across a vertical line, translated

Step-by-step explanation:

The congruence relation can be written ...

  ABCDE ≅ PQRST

a) Corresponding sides are ...

 AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP

__

b) Corresponding angles are ...

  ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T

__

c) ABCDE can be rotated 45° CCW, reflected across a vertical line, and translated to the position of PQRST.

Note: it looks like rotation about point D and reflection across the perpendicular bisector of DS would do the job without any additional translation.

Answer:

you multiply 8 with 0.9 easy like that