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vesna_86 [32]
3 years ago
9

What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units

Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

Distance between A and B = 10.4 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of A = (-5 , 2)

Coordinate of B = (5 , 5)

Find:

Distance between A and B

Computation:

Using distance formula

Distance between two point = √(x1 - x2)² - (y1 - y2)²

Distance between A and B = √(-5 - 5)² - (2 - 5)²

Distance between A and B = √(-10)² - (-3)²

Distance between A and B = √100 + 9

Distance between A and B = √109

Distance between A and B = 10.4403

Distance between A and B = 10.4 unit (Approx.)

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<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

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<u>Part B</u>

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The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

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The graph is shown in the attached image.

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