Answer:
y = 2x + 11
Step-by-step explanation:
y -5 = 2(x+3)
y = 2x+6 +5
y = 2x + 11
the slope of two parallel lines is the same
Answer:
45 dollars
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
x is the value of x which you input into the function and f(x) is the actual function and therefore the output. so when x=3, f(x)= -2. f(3)=-2
Answer:
m∠ADB = 155°
Step-by-step explanation:
m∠ADB = (m∠C)/2 + 90° = 130°/2 + 90°
m∠ADB = 155°
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Reference brainly.com/question/17443119 for the derivation.
Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
