1)10 = z+ 6

Mathematics

1 answer:

Fofino [41]2 years ago

8 0

1. Z=4 10-6
2 y= 6 48/8
3. Q= 13 12+1
6 m=15 11+4
7. 21 19+2
8. S=2 3-1
9. C=6 24/4

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Ugo [173]

Answer:

m=-2 n=-6

Step-by-step explanation:

(z+1+i)(z+1-i)=z²+2z+1-(i²)=z²+2z+2

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m=-2

n=-6

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2 years ago

In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.

34kurt

We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

$\frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5$ °

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
$\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A} \\ c=13* \frac{sin 140.5}{sin 19} \\ c=25.4$

the answer is
the value of c is 25.4

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2 years ago

Simplify using only POSITIVE exponents:

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So here are a few rules with exponents that you should know:

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Dividing exponents of the same base: $x^m\div x^n=x^{m-n}$
Powering a power to a power: $(x^m)^n=x^{m*n}$
Converting a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$