18 + 81 = 9(x²<span> + 6x + 9)
</span><span>11 = (x + 3)</span>²
When we are completing the square, we are going to move the value of c across the equals. We will do that by adding, and end up with
18=9(x²+6x)
We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9
This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)
Dividing both sides by 9, we have:
11=x²+6x+9
11=(x+3)²
Answer:
a) distance from plane to swimmer = 2127.66 m
b) distance from swimmer to point D = 1928.31 m
Step-by-step explanation:
Given the question,
height at which the plane is = 900m
angle of depression = 25°
If we closely observe, the whole scene is making an right angle triangle
So, we can use trigonometry identities
<h3>a)</h3><h3>cosФ = BD / AB</h3>
cos (90-25) = 900 / AB
0.423 = 900 /AB
AB = 2127.66 m
<h3>b)</h3><h3>sinФ = AD/AB</h3>
sin(90-25) = AD /2127.66
AD = sin(90-25) x 2127.66
AD = 1928.31m
Answer:
7*
=7*1000=7000 there are 0 zeros!
Step-by-step explanation:
Answer:
x intercept a = - 3
y - intercept ![b = \frac{-6}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B-6%7D%7B5%7D)
The intercept form of the line equation is
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given straight line 2 x + 5 y = - 6
Dividing ' -6' on both sides , we get
![\frac{2x}{-6} + \frac{5y}{-6} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B-6%7D%20%2B%20%5Cfrac%7B5y%7D%7B-6%7D%20%3D%201)
on simplification , we get
![\frac{x}{-3} + \frac{y}{\frac{-6}{5} } = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B-3%7D%20%2B%20%5Cfrac%7By%7D%7B%5Cfrac%7B-6%7D%7B5%7D%20%7D%20%3D%201)
The intercept form is
![\frac{x}{a} + \frac{y}{b} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Ba%7D%20%2B%20%5Cfrac%7By%7D%7Bb%7D%20%3D%201)
x intercept a = - 3
y - intercept ![b = \frac{-6}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B-6%7D%7B5%7D)
Answer:
A. Slope: 4; y-intercept: (0-7)
Step-by-step explanation:
The equation given is in slope-intercept form, y =mx+b, where m is the slope and b is the y-intercept.
Our equation is y=4x -7,
Where m = 4 b = -7
If m = to the slope and b = to the y-intercept, our slope would be 4/1 or 4, and our y-intercept would be (0,-7).
The answer, A would be the best for the question.
Hope it helps!