The Y-intercept is a point where the line crosses the Y lines. That means it would be the point where X=0. Then to find the Y-intercept you only need to insert X=0 into the equation. The calculation would be:
<span> 4×+2y=12
4(0) + 2 Y= 12
2Y =12
Y=6</span>
Answer: 4) y = -1/3x² + 2x - 1
Step-by-step explanation:
Given :
y = 
+ 2
Expanding (x-3)² will give :
- 6x + 9
substituting into the function , we have :
y = ![( [tex]x^{2}](https://tex.z-dn.net/?f=%20%28%20%5Btex%5Dx%5E%7B2%7D)
- 6x + 9 ) + 2
Expanding , we have
y = + 2x - 3 + 2
y = + 2x - 1
Answer:
Plane B is closer.
Step-by-step explanation:
Plane B is closer.
The distance for Plane A is 7.9 km.
The distance for Plane B is 7.4 km.
Step-by-step explanation:
To find the distance to the tower, altitude must be converted to kilometers. Each 1000 ft is 0.3048 km, so the heights of the planes are ...
-- Plane A: (20 thousand ft)*(0.3048 km/thousand ft) = 6.096 km
-- Plane B: (8 thousand ft)*(0.3048 km/thousand ft) = 2.4384 km
The Pythagorean theorem can be used to find the distance from each plane to the tower:
-- distance = √((ground distance)² + (height)²)
-- Plane A distance = √(5² +6.096²) ≈ √62.16 ≈ 7.9 . . . km
-- Plane B distance = √(7² +2.4384²) ≈ √54.95 ≈ 7.4 . . . km
The distance for Plane B is shorter, so Plane B is closer to the tower.
Answer:
(a). 
= ![\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%26-4%5C%5C66%266%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
A = ![\left[\begin{array}{cc}5&-4\\3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%26-4%5C%5C3%266%5Cend%7Barray%7D%5Cright%5D)
=
= ![\left[\begin{array}{cc}5&12\\3&66\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%2612%5C%5C3%2666%5Cend%7Barray%7D%5Cright%5D)
