Solve for x in simplest form.
14 = 1/2(9x-8)

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Well, one thing they ahve in common is that they are both adding or subtracting the same numbers and of course, they are both expressions.

They are different because one expression is subtract both numbers while one expression is adding both numbers.

8 - 15 = -7

8 + 15 = 23

Best of Luck!

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

x=(13+2)/3

5+y-1=6

y=6+1-5

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

13x + 10x + 3 = 141

23x + 3 = 141

23x = 138

x = 6

Step-by-step explanation:

For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).

Answer:

0.00035 = 3.5 × 10 to the -4

Hope it helps :)

this is the answer of this question you have send If m∠EBD = 36 °and m∠DBC = 108 ° , find m∠EBC

2000 | 2

1000 | 2

500 | 2

250 | 2

125 | 5

25 | 5

5 | 5

1

√2000 = √2².√2².√5².√5

√2000 = 2.2.5√5

√2000 = 20√5

(aproximadamente 44.72135955)

Answer:

Not really. No.

Step-by-step explanation:

15.3 in scientific notation would be represented as "1.53e+1." 15.3 isn't a very large or tiny number. Usually numbers that would be represented by scientific notation would be numbers such as "600,000,000" or "0.00000012" etc. 15.3 is just a standard decimal so it's not really practical.

Hope this helps and have a nice day!

Answer:

(3,-5)

Step-by-step explanation:

Given

[tex]M = (2,2)[/tex]

[tex]H = (1,9)[/tex]

Required

Determine G

This is calculated using the following midpoint formula;

[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]

Where

[tex](x,y) = (2,2)[/tex] and [tex](x_1,y_1) = (1,9)[/tex]

Substitute these values in the formula above

[tex](2,2) = (\frac{1 + x_2}{2},\frac{9 + y_2}{2})[/tex]

Solving for [tex]x_2[/tex]

[tex]2 =\frac{1 + x_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 1 + x_2[/tex]

[tex]4 = 1 + x_2[/tex]

[tex]x_2 = 4 - 1[/tex]

[tex]x_2 = 3[/tex]

Solving for [tex]y_2[/tex]

[tex]2 = \frac{9 + y_2}{2}[/tex]

Multiply both sides by 2

[tex]2 * 2 = 9 + y_2[/tex]

[tex]4 = 9 + y_2[/tex]

[tex]y_2 = 4 - 9[/tex]

[tex]y_2= -5[/tex]

Hence, the coordinates of G is [tex](3,-5)[/tex]

Answer:

(x - y + 3)(x + y - 7)

Step-by-step explanation:

x^2 - 4x - 21 + 10y - y^2

= x^2 - y^2 - 4x -21 + 10y

= (x - y)(x + y) - 4x + 10y - 21     Now -21 = + 3 * -7   and +3x - 7x =- 4x so we try:

= (x - y + 3)(x + y - 7)

- this expands to the original expression.

Answer:

(x+y-7)(x-y+3) is your answer

Step-by-step explanation:

x²-4x-21+10y-y²

x²-4x+2²-2²-21+10y-y²

(x-2)²-(y2-10y+25)

(x-2)²-(y-5)²

(x-2+y-5)+x-2-y+5)

(x+y-7)(x-y+3)

Answer:

[tex]Probability = 23.3\%[/tex]

Step-by-step explanation:

Given

Number cube

Toss = 8

Required

Probability of not landing on 3

First we need to get the probability of landing on 3 in a single toss;

For a number cube;

[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]

So; the probability is

[tex]P(3) = \frac{1}{6}[/tex]

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So:

[tex]P(3) + P(3') = 1[/tex]

Make P(3') the subject of formula:

[tex]P(3') = 1 - P(3)[/tex]

[tex]P(3') = 1 - \frac{1}{6}[/tex]

[tex]P(3') = \frac{5}{6}[/tex]

In 8 toss, the required probability is

[tex]Probability = (P(3'))^8[/tex]

This gives

[tex]Probability = (\frac{5}{6})^8[/tex]

[tex]Probability = \frac{390625}{1679616}[/tex]

[tex]Probability = 0.23256803936[/tex]

Convert to percentage

[tex]Probability = 23.256803936\%[/tex]

Approximate to 1 decimal place:

[tex]Probability = 23.3\%[/tex]

Answer:

-1,  0.05,  0.1,  2/3,  8/7

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First turn every number into a decimal that can be turned into a decimal:

  ✧ 0.1

  ✧ 1.14 (8/7)

  ✧  -1 (Can't be turned into a decimal)

  ✧ 0.66 (2/3)

  ✧ 0.05

✦ Now just order them from Least to Greatest:

  ✧ -1, 0.05, 0.1, 0.66, 1.14

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

Step-by-step explanation:

greatest to least

1. 7.81 x 10^1

2. √(61)

3. ∛(343)

4.  .78

5. 7/9

6. 8%

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

Answer:

its c

Step-by-step explanation:

Answer: 7x+21

HOPE THIS HELPS :>

Step-by-step explanation:

Greetings from Brasil...

Before comparing mixed fractions, let's make them inappropriate

2 1/2 = 5/2

3 1/3 = 10/3

Comparing fractions. (MMC - Maximum Common Multiple - I don't know that term in English)

2 1/2 = 5/2 = 15/6

3 1/3 = 10/3 = 30/6

30/6 > 15/6  then

Answer:

Answer is C.) a 90° counterclockwise rotation about the origin and then a translation 16 units right and 16 units up

Step-by-step explanation:

Rotating the triangle 90° counterclockwise will take the triangle to 3rd quadrant and then further moving it 16 steps right will take it to 4th quadrant and followed by 16 steps upward will take it to the desired position which is in 1st quadrant.

Answer:

(4,-2)

Step-by-step explanation:

coordinate of midpoint(x1+x2)/2, (y1+y2)/2

x1=6, x2=2 , y1=-7, y2=3

x=6+2/2 ⇒8/2=4

y=-7+3/2 ⇒ y=-4/2=-2

(4,-2)

Answer:

X-16 the first one

Step-by-step explanation:

The first one is equal to x-4

Answer:

a = 33cm

b = 33cm

c = 11cm

Step-by-step explanation:

Let us say that the sides of the triangle are a, b and c

The perimeter of a triangle can be calculated by adding all three sides of the triangle.

Perimeter = a + b + c

Let side c be the shortest side of the triangle.

From the statement "Each of the two longer sides of the triangle is three times as long as the shortest side" we can have that

a = 3c and b = 3c

We can input these values into the perimeter of the triangle

Perimeter = 3c + 3c + c = 77

Perimeter = 7c = 77

c = 11

The shortest side, c is = 11 cm

side a is 3 X 11 = 33cm

side b = 3 X 11 = 33 cm

area of triangle formula = ½ × Base × Height

X² - X - 2 = ½ × ( X + 1) × Height

X² - X - 2 = (0.5X + 0.5)Height

Therefore,

Height = ( X² - X - 2 ) / ( 0.5X + 0.5 )

Answer

Step-by-step explanation:

[tex] \sf{ \frac{40}{x + 1} = \frac{15}{6} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{15(x + 1) = 40 \times 6}}[/tex]

Distribute 15 through the parentheses

[tex] \dashrightarrow \sf \: 15x + 15 = 40 \times 6[/tex]

Multiply the numbers : 40 and 6

[tex] \dashrightarrow{ \sf{15x + 15 = 240}}[/tex]

Move 15 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{15x = 240 - 15}}[/tex]

Subtract 15 from 240

[tex] \dashrightarrow \: \sf{15x = 225}[/tex]

Divide both sides by 15

[tex] \dashrightarrow{ \sf{ \frac{15x}{15} = \frac{225}{15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 15}}[/tex]

Hope I helped!

Best regards! :D

Answer:

pq= 12 cm

Step-by-step explanation:

I believe PQ would be 12 cm.

[tex]\sqrt{13}[/tex] = 3.60555127546

rounded to the nearest hundredth:

3.61

Answer:

Any value of D would make this equation true (-∞,∞)

Answer:

infinitely many solutions

Step-by-step explanation:

i ready

Answer:

($26,000/100)*94 = $24,440

Step-by-step explanation:

Divide 26,000 by 100 and multyply by 94 (100% - 6%) =  $24,440

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.