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4 years ago

3(3 - 8x) - 1 = -6x - 28

Mathematics

2 answers:

Wewaii [24]4 years ago

6 0

Answer:

x=2

Step-by-step explanation:

3(3 - 8x) - 1 = -6x - 28

Distribute

9 -24x -1 = -6x -28

Combine like terms

8 -24x = -6x -28

Add 24x to each side

8-24x+24x = -6x-28+24x

8 = 18x-28

Add 28 to each side

8+28 = 18x-28+28

36 = 18x

Divide each side by 18

36/18 = 18x/18

2 =x

Llana [10]4 years ago

5 0

Answer:

Step-by-step explanation:

3(3-8x)-1=-6x - 28

(3×3)-(3×8x)-1=-6x -28

6-3×8x-1=-6x -28

6-3-1×8x=-6x -28

2×8x=-6x -28

+6x +6x

2×8x+6x=-28

2×14x=-28

-2 -2

14x=-28 -2

14x=-30

÷14 ÷14

x=-30÷14

x=-2.15

Read more about perimeter at:

brainly.com/question/24571594

#SPJ1

5 0

2 years ago

a firehouse ladder can expend to 28ft. how many inches is that? use unit analysis to solve this conversation problem. (1ftt=12in

denis-greek [22]

Answer:

336inch

Step-by-step explanation:

1ftt=12in

28ftt=12 ×28

=336in

8 0

3 years ago

Read 2 more answers

If your starting salary is $40,000 and you receive a 3% increase at the end of every year, what is the total amount, in dollars,

sasho [114]

Answer:

SEE BELOW PLEASE GIVE BRAINLIEST

Step-by-step explanation:

YEAR 1: 40000 X .03 = 1200 40,000 + 1200 = 41200

YEAR 2: 41,200 X .03 = 1236 41,200 + 1236 = 42436

YEAR 3: 42436 X .03 = 1273.08 42436 + 1273.08 = 43709.08

YEAR 4: 43709.08 x .03 = 1311.27 43709.08 + 1311.27 = 45020.35

YEAR 5: 45020.35 X .03 = 1350.61 45020.35 + 1350.61 = 46370.96

YEAR 6: 46370.96 X .03 = 1391.13 46370.96 + 1391.13 = 47762.09

YEAR 7: 47762.09 X .03 = 1432.86 47762.09 + 1432.86 = 49194.95

YEAR 8: 49194.95 X .03 = 1475.85 49194.95 + 1475.85 = 50670.80

YEAR 9: 50670.80 X .03 = 1520.12 50670.80 + 1520.12 = 52190.92

YEAR 10: 52190.92 X .03 = 1565.73 52190.92 + 1565.73 = 53756.65

YEAR 11: 53756.65 X .03 = 1612.70 53756.65 + 1612.70 = 55369.35

YEAR 12: 55369.35 X .03 = 1661.08 55369.35 + 1661.08 = 57030.43

YEAR 13: 57030.43 X .03 = 1710.91 57030.43 + 1710.91 = 58741.34

YEAR 14: 58741.34 X .03 = 1762.24 58741.34 + 1762.24 = 60503.58

YEAR 15: 60503.58 X .03 = 1815.11 60503.58 + 1815.11 = 62318.69

YEAR 16: 62318.69 X .03 = 1869.56 62318.69 + 1869.56 = $64,188.25 = $64188

3 0

3 years ago

Read 2 more answers

Please help!! 20 POINTS

shepuryov [24]

<h2>Hello!</h2>

The answers are:

First image:

The answer is the second option, the angles is $53\°$

Second image:

The answer is the third option:

$\frac{5}{13}$

Third image:

The length of the adjacent leg is the first option:

$8\sqrt{2}units$

Fourth image:

The answer is the fourth option, $72\°$

Fifth image:

The answer is the fourth option, DF (hypothenuse) is equal to 25 units.

To solve these problems, we need to use the following trigonometric identities and the Pythagorean Theorem, since we are working with right triangles.

$Tan(\alpha)=\frac{y}{x}\\\\(Tan(\alpha))^{-1} =(\frac{y}{x})^{-1}\\\\\alpha =Arctan(\frac{y}{x})$

$Sin(\alpha)=\frac{opposite}{hypothenuse}$

Pythagorean Theorem:

$c^{2}=a^{2} +b^{2}$

So, solving we have:

First image:

We are given a right triangle that has the following lengths:

$base=x=6units\\height=y=8units\\hypothenuse=10units$

Then, calculating we have:

$\alpha =Arctan(\frac{y}{x})\\\\\alpha =Arctan(\frac{8}{6})\\\\\alpha =Arctan(1.33)\\\\\alpha =53\°$

Hence, the answer is the second option, the angles is $53\°$

Second image:

We are given a right triangle that has the following lengths:

$base=x=12units\\height=y=5units\\hypothenuse=13units$

Then calculating the sin ratio, we have:

$Sin(\alpha)=\frac{opposite}{hypothenuse}$

$Sin(\alpha)=\frac{5}{13}$

Thence, the answer is the third option:

$\frac{5}{13}$

Third Image:

We are given the following information:

$hypothenuse=16units\\\\\alpha =45\°$

Then, calculating one of the angle legs, since both will have the same length, using the sine trigonometric identity, we have:

$Sin(\alpha)=\frac{Opposite}{Hypothenuse}\\ \\Sin(45\°)=\frac{Opposite}{16}\\\\Opposite=Sin(45\°)*16\\\\Opposite=\frac{\sqrt{2} }{2}*16=8\sqrt{2}$

Hence, the answer is the first option the length of the adjacent leg is

$Opposite=\frac{\sqrt{2} }{2}*16=8\sqrt{2}units$

Fourth image:

We are given the following information:

$base=x=9units\\height=y=3units$

To calculate the angle at the B vertex, first, we need to calculate the angle at the C vertex, and then, calculate the B vertex by the following way:

Since the sum of all the interior angles of a triangle are equal to 180°, we have that:

$180\°=Angle_{B}+Angle{C}+90\°$

$Angle_{B}=180\° -90\°-Angle_{C}$

So, calculating the angle at the C vertex, we have:

$\alpha =Arctan(\frac{y}{x})$

$\alpha =Arctan(\frac{3}{9})$

$\alpha =Arctan(0.33)=18.26\°$

Then, calculating the angle at the B vertex, we have:

$Angle_{B}=180\° -90\°-18.26\°=71.74\°=71.8\°=72\°$

Hence, the answer is the fourth option, $72\°$

Fifth image:

We are given the following information:

$base=x=24units\\height=y=7units$

Now, to calculate the distance DF (hypothenuse) we need to use the Pythagorean Theorem:

$c^{2}=a^{2} +b^{2} \\\\hypothenuse^{2}=adjacent^{2}+opposite^{2}\\\\\sqrt{hypothenuse^{2}}=\sqrt{adjacent^{2}+opposite^{2}}\\\\hypothenuse=\sqrt{adjacent^{2}+opposite^{2}}$

Then, substituting we have:

$hypothenuse=\sqrt{24^{2}+(7)^{2}}$

$hypothenuse=\sqrt{576+49}=\sqrt{625}$

$hypothenuse=\sqrt{625}$

$hypothenuse=25units$

Hence, the answer is the fourth option, DF (hypothenuse) is equal to 25 units.

Have a nice day!

4 0

3 years ago