Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
See answers and explanations
Step-by-step explanation:
A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0
B) Since the discriminant is 0, this means the equation only has one root.
C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)
Simply add the three decimals to find Kareem's total distance.
1.6 + 11.5 + 15 = 28.1
(0.6 + 0.5 = 1.1, 1 + 11 + 15 = 27, 27 + 1.1 = 28.1)
<h2>Answer:</h2>
<u>Kareem ran </u><u>28.1 km</u><u> on those three days.</u>
I hope this helps :)
<span>D: a line passing through the points (2, –6) and (4, –16)</span>
Uhh, answer choices?
In any case, since 
is inscribed in a semicircle, it is a right triangle (due to the inscribed angle theorem). Thus, by the Pythagorean theorem, 
Now, the circumradius of a right triangle (the radius of the circle passing through all three of its vertices) is simply half its hypotenuse, so 
