The length (L), width (W), and the diagonal (D) of the television screen make a right triangle with the legs L and W and hypotenuse D. Thus, their measurements are related through Pythagorean Theorem.
L² + W² = D²
Substituting the known values from the given,
(15 in)² + W² = (25 in)²
Solving for W in the equation gives, W = 20 in and W = -20. The second value is an extraneous root. Thus, the width of the television screen is 20 inches.
You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5
(x + 3)² + (y - 12)² = (5)² ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
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x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
x² + 6x + y² - 24y + 128 = 0 is your equation. reorder it so that it's from the highest degree to the lowest: x² + y² + 6x - 24y + 128 = 0 is your result (C).
Answer:
MN=25
Step-by-step explanation:
mn=(ab+cd)/2 --> mn=(40+10)/2 --> mn=50/2 --> mn =25
(this is half an answer and this is what i could get)
Answer:
B(4, -5)
Step-by-step explanation:
A(-8, 7)
M(-2, 1)
B(x, y)
x-coordinate:
(-8 + x)/2 = -2
-8 + x = -4
x = 4
y-coordinate:
(7 + y)/2 = 1
7 + y = 2
y = -5
B(4, -5)