Answer:
D -- 210
Step-by-step explanation:
In degrees, 7π / 6 is 210°
<em>Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!</em>
Answer:
-5 =x
Step-by-step explanation:
0 = In(x + 6)
Raise each side to base e
e^0 = e^ ln (x+6)
1 = x+6
Subtract 6 from each side
1-6 = x
-5 =x
Answer:
1) 18 yards
2) x = 24
3) 36 yards
4) y = (-9/98)(x - 24)² + 18
Step-by-step explanation:
The path is symmetrical about x = h
h = (10+38)/2 = 24
x = 24
Distance = 18 + 18 = 36
Vertex: (24,18)
y = a(x - 24)² + 18
At t = 10, y = 0
0 = a(10 - 24)² + 18
a = -18/14²
a = -18/196 = -9/98
y = (-9/98)(x - 24)² + 18
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
The area of the polygon is 25.5 square units
<h3>How to determine the area of the polygon?</h3>
From the figure, we have the following coordinates
A = (-2, 1)
B = (3, 2)
C = (5, -3)
D = (-1, -3)
The area of the polygon is then calculated as:
A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|
Substitute the known values in the above equation
Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3 - 5 * 2) + (5 * -3 + 1 * -3) + (-1 * 1 + 2 * -3)|
Evaluate the sum of products
Area = 0.5 * |-51|
Remove the absolute bracket
Area = 0.5 * 51
Evaluate the product
Area = 25.5
Hence, the area of the polygon is 25.5 square units
Read more about areas at:
brainly.com/question/25292087
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