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3 years ago

6

Ms. Tao flies roundtrip twice yearly between Jacksonville and Las Angeles on business. The distance between the two cities is 2,

150 miles. Estimate the distance she flies for both trips. Then find the exact distance.

1 answer:

JulsSmile [24]3 years ago

4 0

The estimated distance is 1,000 for each trip....the exact distance is 1,075.

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Law Incorporation [45]

Answer:

$y = 3\, \sqrt{5}$ when $x = 9$ .

Step-by-step explanation:

The question states that $y$ is proportional to $\sqrt{x}$ . In other words, there is a constant $a$ ( $a \ne 0$ ) such that $y = a\, \sqrt{x}$ for all $x \ge 0$ .

The question also states that $y = x$ when $x = 5$ . Make use of this equality to find the value of $a$ .

Since $x = 5$ and $y = x$ , it must be true that $y = 5$ . Substitute $x = 5\!$ and $y = 5\!$ into the equation $y = a\, \sqrt{x}$ and solve for $a$ :

$5 = a\, \sqrt{5}$ .

$\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}$ .

Thus, $y = \sqrt{5}\, (\sqrt{x})$ for all $x \ge 0$ .

Substitute in the value $x = 9$ to find the corresponding value of $y$ :

$\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}$ .

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2 years ago

The area of a square field is (49m^2 - 42m + 9) square units. find the dimensions of the field. ( STEP BY STEP EXPLANATION)

julia-pushkina [17]

Answer:

(7m−3)(7m−3)

Step-by-step explanation:

Factor 49m2−42m+9

49m2−42m+9

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2 years ago

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3 years ago

Read 2 more answers

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Answer:

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3 years ago

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Here's the volume formula (and the area formula) typed a little neater than that.
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2 years ago