Answer:
d. 50°
Step-by-step explanation:
Since you know one angle and its opposite side, use the law of sines.
sin 36°/11.9 = sin D/15.6
sin D = 15.6 × sin 36° / 11.9
sin D = =0.7705
D = sin^-1 0.7705
D = 50.4°
Plug 8 into the equation for y and you get 2+24 or 26.
The price of less expensive equipment is $1575.
Step-by-step explanation:
Let,
Price of one equipment = x
Price of other equipment = y
According to given statement;
x+y=4000 Eqn 1
x = y+850 Eqn 2
Putting Eqn 2 in Eqn 1
Dividing both sides by 2;
Putting y=1575 in Eqn 2;
The price of less expensive equipment is $1575.
Keywords: linear equation, substitution method
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Answer: C) y = -5x + 27 and D) y = 2x - 15
<u>Step-by-step explanation:</u>
Substitute x = 6 and y = -3 into each of the given equations to see which result in a TRUE statement.
A) y = -3x + 6
-3 = -3(6) + 6
-3 = -18 + 6
-3 = -12 FALSE
B) y = 2x - 9
-3 = 2(6) - 9
-3 = 12 - 9
-3 = 3 FALSE
C) y = -5x + 27
-3 = -5(6) + 27
-3 = -30 + 27
-3 = -3 TRUE!
D) y = 2x - 15
-3 = 2(6) - 15
-3 = 12 - 15
-3 = -3 TRUE!
E) y = -4x + 27
-3 = -4(6) + 27
-3 = -24 + 27
-3 = 3 FALSE
