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mestny [16]
3 years ago
13

1) 3(3x - 4) = -2(1 – 4x)

Mathematics
2 answers:
Yanka [14]3 years ago
6 0
Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
)
(
−
4
)
=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
hodyreva [135]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

3(3x - 4) = -2(1 - 4x)

9x - 12 = -2 + 8x

9x - 8x = -2 + 12

x = 10

Hope this helps!

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Find the fifth roots of 243(cos 260° + i sin 260°)
Charra [1.4K]
<span>use De Moivre's Theorem:

⁵√[243(cos 260° + i sin 260°)] = [243(cos 260° + i sin 260°)]^(1/5)

= 243^(1/5) (cos (260 / 5)° + i sin (260 / 5)°)

= 3 (cos 52° + i sin 52°)

z1 = 3 (cos 52° + i sin 52°) ←← so that's the first root


there are 5 roots so the angle between each root is 360/5 = 72°

then the other four roots are:

z2 = 3 (cos (52 + 72)° + i sin (52+ 72)°) = 3 (cos 124° + i sin 124°)

z3 = 3 (cos (124 + 72)° + i sin (124 + 72)°) = 3 (cos 196° + i sin 196°)

z4 = 3 (cos (196 + 72)² + i sin (196 + 72)°) = 3 (cos 268° + i sin 268°)

z5 = 3 (cos (268 + 72)° + i sin (268 + 72)°) = 3 (cos 340° + i sin 340°) </span>
3 0
3 years ago
HELP!<br> Find the Area of the triangle
Zigmanuir [339]

Answer:

A ≈ 65.8 m²

Step-by-step explanation:

Given 2 sides and the angle between them then the area (A) is

A = \frac{1}{2} bc sinA

   = 0.5 × 19.9 × 10.7 × sin38.17°

   ≈ 65.8 m² ( to 1 dec. place )

6 0
2 years ago
Find the slope of the line.
ElenaW [278]

Answer:

-\frac{5}{4}

Step-by-step explanation:

m=\frac{rise}{run}=\frac{-4-1}{1+3}=\frac{-5}{4} =-\frac{5}{4}

Hope this helps.

5 0
2 years ago
In the city of Manhattan, it takes about 13 Starbucks to serve every 100,000 people. As of 2019, Manhattan has
astraxan [27]

Answer:

9.207

Step-by-step explanation:

To get the amount of starbucks for the population we can do

\frac{13 * 1629000}{100000}

which gives us 211.77 total Starbucks in 23 miles.

To get starbucks per mile, we divide this number by 23.

This gives us 9.207

7 0
3 years ago
Read 2 more answers
4.5/w = 3 <br><br>what is the W?​
Oduvanchick [21]

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

\frac{4.5}{3}=\frac{3w}{3}

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

3 0
3 years ago
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