Answer:
Step-by-step explanation:
The vector in component form is the difference of the coordinates of its end points:
rock - ship = (4, 7) - (1, 0) = (3, 7) . . . . vector from ship to rock
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The angle from North can be found using the tangent relation:
tan(bearing) = (east distance)/(north distance) = 3/7
bearing = arctan(3/7) ≈ 23.1986°
The bearing of the rock is 23.20°.
Answer:
<h3>1/2</h3>
Step-by-step explanation:
Given the expression
4/5 x - 1/10 = 3/10
We are to find the value of x
4/5 x = 3/10 + 1/10
4/5 x = 4/10
Cross multiply
4x * 10 = 5 * 4
40x = 20
x = 20/40
x = 1/2
The value of x is 1/2
49: 1 7, 49
84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The GCF is 7
Using the quadratic equation instead of calculus, you can find the x coordinate of the vertex as it will be the midpoint of the two x coordinates of the zeros...
x=(-3±√-27)/2
x=-1.5±√-6.75
That the second term is imaginary does not matter because we will add or subtract this value from -1.5, thus the midpoint of the zeros, the x coordinate of the vertex is -1.5. And to find the value of y for the vertex we just find the value of y when x=-1.5
y(-1.5)=6.75
Since y>0, the vertex is above the x-axis.
Answer:
2x² + 3x
Step-by-step explanation:
Using distributive property, you can multiply the variable outside the parenthesis to both terms inside the parenthesis:
x(2x + 3) = 2x(x) + 3(x) or 2x² + 3x
When multiplying with the same base, you will add the exponents.
