Answer:
y = -3x + 17
Step-by-step explanation:
In this question, you have to put the given equation into slope intercept form.
Slope-intercept form: y = mx + b
Solve:
y - 2= -3(x - 5)
Use the distributive property to distribute the -3 to the variables inside the parenthesis.
y - 2 = -3x + 15
Add 2 to both sides to get "y" by itself.
y = -3x + 17
The slope intercept form of the line would be y = -3x + 17
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle
, then a vector V can be represented as follows in component notation:

In this problem, the magnitude and the angle are given, respectively, by:

Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
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Answer:
3156
Step-by-step explanation:
- <em>Used formula:</em>
- <em>(1² + 2² + 3² + ... + n²) =1/6*n(n + 1)(2n + 1)</em>
--------
- 10²+12²+14²+......+26² =
- (2*5)²+(2*6)² + (2*7)² + ... + (2*13)² =
- 4*(5²+6²+7²+...+13²) =
- 4*(1²+2²+...+13² - (1²+2²+3²+4²)) =
- 4*(1/6*13(13+1)(2*13+1) - (1+4+9+16)) =
- 4*(1/6*13*14*27- 30) =
- 4*(819 - 30) =
- 4*789 =
- 3156
Answer:
x=5
y=1
z=2
Step-by-step explanation:
x+2y+z=9
3x+y+4z=24
x+3y+z=10
Answer:-2-5÷4-1=-1
Step-by-step explanation: