First plugin 2y+4 for x
3(2y+4)+5y=32 distribute
6y+12+5y=32 combined like terms
11y+12=32 combined like terms
11y=20 divide
Y=1.818
Answer:
-5.99, -3, -6, -5.9, -1, -5.999, -5, 2
Step-by-step explanation:
this symbol: ≥, means that d is greater than or equal to -6, so you select everything that is either greater than, or equal to -6.
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
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we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
A is open question
B is closed question
C is Closed question
D is open question
E is open question
Answer:
x=3⋅± 2
=±4.2426
x=0
Step-by-step explanation: