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2 years ago

6

A car travels 2 5/8 miles in 3 1/2minutes at a constant speed. Which equation represents the distance, d, that the car travels i

n m minutes?
A. d = 0.75m
B. d = 113m
C. d = 3.5m
D. d = 2.625m

1 answer:

kakasveta [241]2 years ago

8 0

Answer:

Step-by-step explanation:

2⅝ miles/(3½ minutes) = (21/8 miles)/(7/2 minutes) = ¾ mile/minute

d = ¾m = 0.75m

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3 years ago

A Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared

ivolga24 [154]

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3 years ago

(Q7) Determine the graph of the polar equation r = 12/6+4 cos theta.

masya89 [10]

ANSWER

b.

EXPLANATION

The given polar equation is,

$r = \frac{12}{6 + 4 \cos( \theta) }$

Cross multiply to get,

$r(6 + 4 \cos( \theta) ) = 12$

$6r + 4r\cos( \theta) ) = 12$

Substitute,

$r\cos( \theta) = x$

and

$r = \sqrt{ {x}^{2} + {y}^{2} }$

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$3\sqrt{ {x}^{2} + {y}^{2} } + 2x = 6$

$3\sqrt{ {x}^{2} + {y}^{2} } = 4 - 2x$

$9({x}^{2} + {y}^{2}) =( 4 - 2x ) ^{2}$

$9{x}^{2} + 9 {y}^{2} =16 - 16x + 4x ^{2}$

$5{x}^{2} + 9 {y}^{2} + 16x = 16$

This is an ellipse whose center is shifted to the left with orientation on the x-axis

The correct choice is B.

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