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Lady bird [3.3K]
4 years ago
9

Which of the following is the solution set of the given equation? (x - 3) - 2(x + 6) = -5

Mathematics
1 answer:
Vlad1618 [11]4 years ago
8 0

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

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A complex number z_1z 1 ​ z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ​ ∣=6vertical bar, z, start subscript
Step2247 [10]

Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

5 0
4 years ago
What is the slope of the line that passes through the points E(–1, 4) and F(2, 6)?
8090 [49]
I’m pretty sure the slope would be, Y=4.67.. I hope you get it right!
6 0
4 years ago
The sum of two numbers is 29. The sum of 3 times the larger and 6 times the smaller is 111. Find the numbers.​
iren2701 [21]

Answer:

8 and 21

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A bus travels with a constant speed of 48 miles per hour. How long will it take to travel 60 miles?
andre [41]

Answer:

A bus travels with a constant speed of 48 miles per hour. How long will it take to travel 60 miles?

Step-by-step explanation:

Mostly it's 1.25 hours </3 Since distance = rate times , or d = rt, then we have

t = d/r = 60 miles / 48 mph = 1.25 hours = 1 hour 15 minutes

either 1 hour 15 mins or 1hour and 25 mins.

4 0
3 years ago
The table shows a proportional relationship.
Ann [662]
X + (.8 x 1/2 of x) = y
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4 years ago
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