Using the Pythagorean Theorem, we have x^2+(x+2)^2=51^2, and
x^2+ x^2+4x+4=2x^2+4x+4=51^2. After that, we subtract 51^2 from both sides to get 2x^2+4x-2597. Using the quadratic formula (x=(-b+-sqrt(b^2-4ac))/2a in ax^2+bx+c), we get around 35 for x. We did + instead of minus after b due to that it can't be negative! x+2=37, so you save 35+37-51=around 21 feet
Step-by-step explanation:
1x+2x+3x=60
x=10
2x+3x+4x=20+30+40=90
average=90÷3=30
Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.
Step One
Find the hypotenuse.
a = - 2
b = 5
c = ??
c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29 Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)
Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29) <<<<<<< Answer
Again, watch out for what you are given.
Answer:
<u>Option B. 11</u>
Step-by-step explanation:
See the attached figure
As the figure about an ellipse
So, The sum of distance between A and the foci will be equal the major axis
AB = 6 and the major axis = 17
∴ AB + AC = major axis
∴ 6 + AC = 17
∴ AC = 17 - 6 = 11
<u>So, the length of the blue line segment = 11</u>
Distribute the -9 into the values in the parentheses.
STEP BY STEP
-9(-2x-3)
-9*-2x=18x
-9*-3=27
Therefore, the equation then becomes: 18x+27.
The answer is the first choice, or A.