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lara31 [8.8K]
3 years ago
13

Line CD passes through points (0, 2) and (4, 6). Which equation represents líne CD?

Mathematics
1 answer:
ladessa [460]3 years ago
8 0

the equation for a line is y = m x  + b

using the first set of coordinates (0,2)

2 = m * 0 + b

b = 2

using the second set of coordinates (4,6)

6 = 4 m + 2

4 m = 4

m = 4 / 4

m = 1

use those numbers into the line equation

y = x +2

Answer is: C

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The cost of movie tickets for a group of friends is $24. They buy 3 snacks. The cost of each snack us the same. The group spends
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Answer is 6.5 dollars.

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Find sin 2x, cos 2x, and tan 2x from the given information.<br> cscx=4,tanx&lt;0.
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Answer:

Step-by-step explanation:

Given the expression cosec (x) = 4 and tan(x)< 0

since cosec x = 1/sinx

1/sinx = 4

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From SOH, CAH TOA

sinθ = opposite/hypotenuse

from sinx = 1/4

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to get the adjacent, we will use the Pythagoras theorem

adj² = 4²-1²

adj² = 16-1

adj ²= 15

adj = √15

cosx = adj/hyp = √15/4

tanx = opposite/adjacent = 1/√15

since tan < 0, then tanx = -1/√15

From double angle formula;

sin2x = 2sinxcosx

sin2x = 2(1/4)(√15/4)

sin2x = 2√15/16

sin2x = √15/8

for cos2x;

cos2x = 1-2sin²x

cos2x = 1-2(1/4)²

cos2x = 1-2(1/16)

cos2x= 1-1/8

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for tan2x;

tan2x  = tanx + tanx/1-tan²x

tan2x = 2tanx/1-tan²x

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tan2x = (-2/√15)/(1-1/15)

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tan2x = -30/14√15

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rationalize

tan2x =  -30/7√15 * √15/√15

tan2x =  -30√15/7*15

tan2x =  -2√15/7

5 0
3 years ago
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