Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
slope = m = 16-10 / 8-5 = 6/3 = 2
y - y1 = m x (x-x1)
y-10 = 2 x (x-5)
y-10 = 2x-10
y = 2x
Tank calculations :
Volume = 1/4(4/3 * pi * r^3)
r= 70 feet.
Volume = 1/4(4/3 * 3.14 * 70^3)
Calculating the values:
Volume = 359,000.67 ft.cubed
No we divide the actual radius by 6 to get the volume of scale model.
Hence,
6^3 = 216 times smaller.
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Answer:
C. 5/4
Step-by-step explanation:
Slope formula is y=mx+b so your slope is m
In your equation y=5/4x-7/4, your slope is where m would be, so 5/4