Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Answer:
The answer to your question is
A = 29.6°
B = 115.4°
C = 35°
Step-by-step explanation:
Process
1.- Use the Cosines law to answer this question
c² = a² + b² - 2abcosФ
Solve for cos Ф
cos Ф = (c² - a² - b² )/ -2ab
Substitution
cosФ = (7² - 6² - 11²) / (-2)(6)(11)
cosФ = (49 - 36 - 121) / -132
cos Ф = -108 / -132
cos Ф = 0.818
Ф = 35° = C
Find B
cos Ф = (b² - a² - c²) / (-2ac)
cos Ф = (11² - 6² - 7²) / (-2)(6)(7)
cos Ф = ( 121 - 36 - 49) / -84
cos Ф = 36 / -84
cos Ф = -0.429
Ф = 115.4° = B
2.- Find a
The sum of the internal angles in a triangle equals 180°
A + B + C = 180
A + 115.4 + 35 = 180
A = 180 - 115.4 - 35
A = 29.6°
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
X-intercepts:
(x-5)(x-3)(4x+8)=0
x-5=0 x-3=0 4x+8=0
x=5 x=3 x=-8/4
x=-2
Y-intercept:
sub x=0
(0-5)(0-3)(4(0)+8)=y
(-5)(-3)(8)=y
y = 120
