The distance between Alphaville and Betaville is seven hundred and
1 answer:
Answer:
Step-by-step explanation:
Distance = speed × time
A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is
62 × 2.5 = 155 miles
Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is
57 × 2.5 = 142.5 miles
A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is
155 + 142.5 = 297.5 miles
The distance between both cars after two and a half hours is
725 - 297.5 = 427.5 miles
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Answer:
Step-by-step explanation:
The vertex form of an equation of a parabola:
<em>(h, k)</em><em> - vertex</em>
<em>a</em><em> - leading coefficient in equation </em><em>y = ax² + bx + c</em>
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From the grap we can read coordinates of the vertex (2, -1) and y-intercept (0, 1).
Therefore <em>h = 2, k = -1</em>
Put the values of <em>h, k</em> and coordinates of the y-intercept to the equation of parabola:
<em>add 1 to both sides</em>
<em>divide both sides by 4</em>
Therefore we have the equation:
Convert to the standard form:
<em>use (a - b)² = a² - 2ab + b²</em>
<em>use the distributive property</em>
<em>combine like terms</em>