Answer:
the is option d cause big number is divided by small ones.
Step-by-step explanation:
hope it's right
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
To solve for x we can use trigonometry since the triangle above is right triangle.
In this problem, it would be the easiest to use the TOA ratio which means the tangent of 62 equals x/40. To get x alone, we can multiply both sides by 40 leaving us with:
x = tan. 62 x 40
x = 1.88072646535 x 40
x = <span>75.229058614
Final Answer: x is around 75 yards</span>
1. y = -x - 2...slope here is -1. A parallel line will have the same slope
y = mx + b
slope(m) = -1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = -1(2) + b
-2 = -2 + b
-2 + 2 = b
0 = b
so ur parallel equation is : y = -x
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2. -1 = -3/2(2) + b
-1 = -3 + b
-1 + 3 = b
2 = b
parallel equation is : y = -3/2x + 2
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3. parallel equation is : x = 4
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4. 3 = 1/2(-2) + b
3 = -1 + b
3 + 1 = b
4 = b
parallel equation is : y = 1/2x + 4
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5. y + 0 = 2(x - 5)
y = 2x - 10 <== parallel line
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6. neither
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7. if ur second equation is : 2x + y = 7, then the lines are parallel
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8. neither
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9. sometimes
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10. never
