Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
Answer:
Step-by-step explanation:
a. 0.31
Answer: 4/5 (first choice)
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Work Shown:
sin(angle) = opposite/hypotenuse
sin(A) = BC/AC
sin(A) = 24/30
sin(A) = (6*4)/(6*5)
sin(A) = 4/5
Answer:
SA = 52900 + 2300√1313 m²
Step-by-step explanation:
The equation of the surface area of a pyramid:
SA = area of base + 0.5 * perimeter of base * slant height
1. Area of the base: Since it's a square base, 230² m² = <em>52900 m²</em>
2. Perimeter of the base: The base is square, 230*4 m = <em>920 m</em>
3. Slant height: 115² + 140² = h² --> h² = 32825 --> h = <em>5√1313 m</em>
Plug in: SA = 52900 + 0.5 * 920 * 5√1313
Multiply: SA = 52900 + 2300√1313 m²
X = 13 because if NK = 23 that means the equation is x-6+9+2x-19 = 23 then you subtract 9 from each side of the equals sign and add the x’s together than add -6 to -19 and get a equation of 3x-25 = 14 then add 25 to each side and get 3x = 39 the divided 39 by 3 and get x = 13