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Lapatulllka [165]
3 years ago
14

A jungle and wildlife preserve extends 80 miles north and 120 miles east of the ranger station. The ranger leaves from a point 1

00 miles east of the station along the southern boundary to survey the area. He travels
in a straight diagonal line, 0.6 miles north and 8.5 miles west every minute. A lion leaves the west edge of the
preserve 51 miles north of the station at the same time the ranger leaves from the southern border, also in a
straight diagonal line. Every minute the lion moves 0.1 miles north and 0.3 miles east.
Mathematics
1 answer:
Ber [7]3 years ago
6 0

Answer:

80 120 100 miles

Step-by-step explanation:

so this i know that the jungle is big but people are cutting the trees to minus it all and i don't really know thw answer i need points

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sdas [7]
-1/2 < -x/3 < -1/4 = -6/12 < -x/12 < -3/12

two numbers can go in there....-4/12, and -5/12
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A survey of 391 children given at a local elementary school showed that 175 like chocolate ice cream, 150 like pistachio ice cre
poizon [28]

Answer:

325

Step-by-step explanation:

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2 years ago
Write x2 - 12x + 8 in vertex form.
Marysya12 [62]

Answer:

The answer to this is: y = (x - 6)² - 28

Step-by-step explanation:

The first step is to make sure the coefficient in front of x² is 1. If it isn't, just divide the whole equation by the coefficient. In this case, you don't need to do any division because you just have x²

Group the first two terms involving x² and x:

(x² - 12x) + 8

Now complete the square as follows:

a. Take the coefficient in front of x --> -12

b. Halve it --> -6

c. Square it --> (-6)² = 36

d. Add this and subtract it

(x² - 12x + 36 - 36) + 8

Take the negative number outside the parentheses:

(x² - 12x + 36) - 36 + 8

(x² - 12x + 36) - 28

The part in parentheses is a perfect square so rewrite it as such. If you need help refer back to step b.

(x - 6)(x - 6) - 28

(x - 6)² - 28

P.S. Vertex form is:

(x - h)² + k

In that form, the vertex is (h, k). In your case, the vertex of the parabola would be (6, -28).

Answer:

y = (x - 6)² - 28

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